All Questions - Quantitative Methods

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    Chapter 1

    1. Information is

    A. ? all the facts and figures

    B. ? the creation of a database

    C. ? the selective use of data to inform the user

    D. ? a summary of the solutions

    2. The quantitative approach requires

    A. ? a scientific rigour in the collection of data

    B. ? the selective use of data

    C. ? the correctness of calculation

    D. ? all of the above

    3. Primary data

    A. ? is collected for a specific purpose

    B. ? can be any data

    C. ? is supplementary data

    D. ? is none of the above

    4. A parameter

    A. ? is a quantity or characteristic allowed to change within a particular problem

    B. ? takes a fixed value for a particular problem

    C. ? is always the same value

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    D. ? is always a different value

    5. The level of measurement achieved by recording whether the person reading this book

    likes or dislikes the layout of a scale 1 to 5 is

    A. ? nominal

    B. ? ordinal

    C. ? interval

    D. ? ratio

    6. The level of measurement achieved by recording whether the respondent smokescigarettes or not is

    A. ? nominal

    B. ? ordinal

    C. ? interval

    D. ? ratio

    7. The level of measurement achieved by calculating the travel distance of shoppers

    A. ? nominal

    B. ? ordinal

    C. ? interval

    D. ? ratio

    8. Scoring models could be used for

    A. ? a cashflow forecast

    B. ? breakeven analysis

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    C. ? clarifying the choices between options that involve a number of factors

    D. ? the evaluation of a saving scheme

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    Chapter 2

    1. Data is

    A. ? a coding of responses from a questionnaire

    B. ? a set of facts and figures from a database

    C. ? information collected for other purposes

    D. :-) all of the above

    2. Secondary data

    A. :-) already exists for other purposes

    B. ? is used only second

    C. ? is always second best

    D. ? none of the above

    3. Ws and H

    A. X is a coding of data

    B. :-) is a techniques for clarifying a problem or issue

    C. ? is a formula

    D. ? is a way of asking why 5 times

    4. A good source of government statistics is

    A. ? www.ebay.co.uk

    B. ? www.bhs.org.uk

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    C. :-) www.statistics.gov.uk

    D. ? www.amazon.co.uk

    5. We need to be cautious when using data from the internet because

    A. X sources may not be known

    B. X possible bias

    C. X incompleteness

    D. ? all of the above

    6. A survey may be preferred to a census

    A. X because of cost constraints

    B. X because the methodology is adequate

    C. X because of time constraints

    D. ? all of the above

    7. A smaller sample size can be used

    A. :-) if the variability in the population is smaller

    B. ? if greater accuracy if required

    C. ? if more detailed analysis is to be undertaken

    D. ? none of these

    8. Market research

    A. X cannot estimate the market share of brands produced by other companies

    B. X can provide an alternative to statistical analysis

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    C. :-) can provide information on customer satisfaction

    D. ? cannot provide acceptable information on politically sensitive issues such ascarbon emission and health service provision

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    Chapter 3

    1. To reflect the opinions of a population a survey needs to

    A. ? Ask everyones opinion

    B. ? Ask opinions from any small group

    C. ? Ask the opinions of a representative group

    D. ? Ask opinions from the first 100 people you meet

    2. A cluster sample will

    A. ? Seek views from a homogeneous group in the population

    B. ? Seek views from a heterogeneous group in the population

    C. ? Seek views from any group in the population

    D. ? Seek views from everyone who attends a group discussion

    3. A two stage random sample

    A. ? Takes a random sample of groups and then a random sample in each selectedone

    B. ? Takes a random sample and then a second one

    C. ? Takes a random sample from every group in the population

    D. ? Takes a random sample and analyses it in two stages

    4. A longitudinal survey

    A. ? Follows a group as they travel

    B. ? Follows a group over many years

    C. ? Follows a group for a week

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    D. ? Follows a group as they grow up

    5. 5 The question Most people liked this chocolate bar, do you? is

    A. ? A hypothetical question

    B. ? A question which contains jargon

    C. ? Two questions as one

    D. ? A leading question

    6. The question Do you eat this food because it is good for you and you like it? is

    A. ? A hypothetical question

    B. ? A question which contains jargon

    C. ? Two questions as one

    D. ? A leading question

    7. The question How early do you usually do your Christmas shopping? is

    A. ? A hypothetical question

    B. ? A question which contains jargon

    C. ? Two questions as one

    D. ? A leading question

    8. The question How would you manage this situation if you were the manager? is

    A. ? A hypothetical question

    B. ? A question which contains jargon

    C. ? Two questions as one

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    D. ? A leading question

    9. Gallup identified how many question objectives?

    A. ? 2

    B. ? 3

    C. ? 4

    D. ? 5

    10. Sampling methodology

    A. ? Is crucial to obtaining meaningful results

    B. ? Is a description of how the sampling was done

    C. ? Allows the results to be replicated

    D. ? All of these

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    Chapter 4

    1. Component bar charts have

    A. ? All bars the same length

    B. ? Bars for percentages of each component

    C. ? Bars built up from sections for each component

    D. ? Are coloured to reflect the components

    2. Pie charts can be used for

    A. ? Annual company reports

    B. ? Degree dissertations

    C. ? Publicity materials

    D. ? Any of these

    3. 3 Earnings data is

    A. ? Categorical data

    B. ? Ordinal data

    C. ? Interval data

    D. ? Ratio data

    4. If the figure for sales was 50 last year and is 61 this year, the percentage rise is

    A. ? 10

    B. ? 11

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    C. ? 18

    D. ? 22

    5. If the following years figure is 65, the percentage rise is

    A. ? 4

    B. ? 6.1

    C. ? 6.5

    D. ? 15

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    Chapter 6

    1. Averages are

    A. ? A typical value

    B. ? A measure of location

    C. ? A measure of central tendency

    D. ? All of these

    2. In a normal distribution

    A. ? The mean is above the median and mode

    B. ? The mean is below the median and mode

    C. ? The mean is equal to the mean and mode

    D. ? The mean is between the median and mode

    3. Data Set 1: 14, 12, 17, 25, 14, 19, 30

    For data set 1, the arithmetic mean is

    A. ? 14

    B. ? 17

    C. ? 18.7

    D. ? 25

    4. For data set 1 the median is

    A. ? 14

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    B. ? 17

    C. ? 18.7

    D. ? 25

    5. For data set 1 the mode is

    A. ? 14

    B. ? 17

    C. ? 18.7

    D. ? 25

    6. If the final number were recorded as 300 the mean would be

    A. ? 17

    B. ? 25

    C. ? 57.3

    D. ? 61.6

    7. If the final number were recorded as 300, the median would be

    A. ? 17

    B. ? 25

    C. ? 57.3

    D. ? 61.6

    8. Data Set 2:X f10 65

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    20 2530 10

    For data set 2 the mean is

    A. ? 10

    B. ? 14.5

    C. ? 15

    D. ? 20

    9. For data set 2 the median is

    A. ? 10

    B. ? 14.5

    C. ? 15

    D. ? 20

    10. For data set 2 the mode is

    A. ? 10

    B. ? 14.5

    C. ? 15

    D. ? 20

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    C. ? 21

    D. ? 23

    5. For Data Set 1 the quartile deviation is:

    A. ? 5.5

    B. ? 6.5

    C. ? 21

    D. ? 23

    6. For Data Set 1 the variance is:

    A. ? 30.25

    B. ? 43.14

    C. ? 441

    D. ? 529

    7. Data Set 2: mean = 30, median = 25, standard deviation = 4

    For data set 2 the coefficient of variation is

    A. ? -3.75

    B. ? +3.75

    C. ? +7.5

    D. ? +13.3

    8. For data set 2 the coefficient of skewness is

    A. ? -3.75

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    B. ? +3.75

    C. ? +7.5

    D. ? +13.3

    9. A decile represents a point in the data

    A. ? At a 10% value

    B. ? At a 5% value

    C. ? At a 1% value

    D. ? At none of these

    10. Highly skewed data is best described by

    A. ? Range

    B. ? Variance

    C. ? Quartile deviation

    D. ? Percentiles

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    Chapter 7

    1. Year Index1 1082 1123 1164 1245 131

    From the data above, the percentage change from year 1 to year 2 is

    A. ? 3.6

    B. ? 3.7

    C. ? 5.6

    D. ? 6.9

    2. From the data above, the percentage change from year 2 to year 3 is

    A. ? 3.6

    B. ? 3.7

    C. ? 5.6

    D. ? 6.9

    3. From the data above, if the index were rebased so that Year 3 = 100, the index for year1 would be

    A. ? 93.1

    B. ? 100

    C. ? 112.9

    D. ? 116

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    4. From the data above, if the index were rebased so that Year 3 = 100, the index for year5 would be

    A. ? 93.1

    B. ? 100

    C. ? 112.9

    D. ? 116

    5.

    From the data above, the price relative for item B for the second year is

    A. ? 1.050

    B. ? 1.1375

    C. ? 1.167

    D. ? 1.200

    6. From the data above, the aggregative price for the second year is

    A. ? 105.0

    B. ? 113.75

    C. ? 116.7

    D. ? 120.0

    7. From the data above, the Laspeyres all items Price index for the second year is

    A. ? 100.0

    B. ? 108.0

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    C. ? 112.0

    D. ? 121.8

    8. From the data above, the Paasche all items Price index for the second year is

    A. ? 100.0

    B. ? 108.0

    C. ? 112.8

    D. ? 121.8

    9. From the data above, the all items Value index for the second year is

    A. ? 100.0

    B. ? 108.0

    C. ? 112.8

    D. ? 121.8

    10. The Retail Prices Index uses

    A. ? 11 items

    B. ? 100 items

    C. ? 350 items

    D. ? 650 items

    11. Year Index1 1082 1123 1164 124

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    5 131

    From the data above, the percentage change from year 1 to year 2 is

    A. ? 3.6

    B. ? 3.7

    C. ? 5.6

    D. ? 6.9

    12. From the data above, the percentage change from year 2 to year 3 is

    A. ? 3.6

    B. ? 3.7

    C. ? 5.6

    D. ? 6.9

    13. From the data above, if the index were rebased so that Year 3 = 100, the index for year1 would be

    A. ? 93.1

    B. ? 100

    C. ? 112.9

    D. ? 116

    14. From the data above, if the index were rebased so that Year 3 = 100, the index for year

    5 would be

    A. ? 93.1

    B. ? 100

    C. ? 112.9

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    D. ? 116

    15.

    From the data above, the price relative for item B for the second year is

    A. ? 1.050

    B. ? 1.1375

    C. ? 1.167

    D. ? 1.200

    16. From the data above, the aggregative price for the second year is

    A. ? 105.0

    B. ? 113.75

    C. ? 116.7

    D. ? 120.0

    17. From the data above, the Laspeyres all items Price index for the second year is

    A. ? 100.0

    B. ? 108.0

    C. ? 112.0

    D. ? 121.8

    18. From the data above, the Paasche all items Price index for the second year is

    A. ? 100.0

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    B. ? 108.0

    C. ? 112.8

    D. ? 121.8

    19. From the data above, the all items Value index for the second year is

    A. ? 100.0

    B. ? 108.0

    C. ? 112.8

    D. ? 121.8

    20. The Retail Prices Index uses

    A. ? 11 items

    B. ? 100 items

    C. ? 350 items

    D. ? 650 items

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    Chapter 8

    1. Throwing a die, the probability of an even number is

    A. ? 1/6

    B. ? 2/6

    C. ? 3/6

    D. ? 4/6

    2. Throwing 2 die, the probability of an even total score is

    A. ? 6/36

    B. ? 9/36

    C. ? 18/36

    D. ? 27/36

    3. Throwing 2 die, the probability of an total score below 6 is

    A. ? 6/36

    B. ? 16/36

    C. ? 20/36

    D. ? 26/36

    4. From a standard pack of cards, the probability of selecting an Ace or a Spade is

    A. ? 13/52

    B. ? 16/52

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    Chapter 9

    1. A table of random numbers has a

    A. ? Normal distribution

    B. ? Uniform distribution

    C. ? Binomial distribution

    D. ? Poisson distribution

    2. A binomial distribution has

    A. ? A variable chance of success

    B. ? An unlimited number of trials

    C. ? Many outcomes

    D. ? Independence of events

    3. The number of ways of picking 4 from 6 is

    A. ? 15

    B. ? 20

    C. ? 24

    D. ? 720

    4. The number of ways to pick 2 from 6 is

    A. ? 15

    B. ? 20

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    C. ? 24

    D. ? 720

    5. For a binomial probability distribution with n=5 and p=0.2, the probability of 2successes is:

    A. ? 0.05792

    B. ? 0.08

    C. ? 0.2048

    D. ? 0.26272

    6. For the same distribution, the probability of less than 3 successes is:

    A. ? 0.05792

    B. ? 0.08

    C. ? 0.2048

    D. ? 0.26272

    7. For the same distribution, the probability of more than 3 successes is:

    A. ? 0.2048

    B. ? 0.26272

    C. ? 0.73728

    D. ? 0.94208

    8. For a poisson distribution with an average of 1`, the probability of zero successes is:

    A. ? 0.2642

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    B. ? 0.3679

    C. ? 0.6321

    D. ? 0.7358

    9. For the same distribution, the probability of more than 1 is:

    A. ? 0.2642

    B. ? 0.3679

    C. ? 0.6321

    D. ? 0.7358

    10. For a poisson distribution, the mean is:

    A. ? n

    B. ? np

    C. ? npq

    D. ? npq

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    Chapter 10

    1. A Normal Distribution is

    A. ? symmetrical

    B. ? bimodal

    C. ? skewed

    D. ? uniform

    2. A normal distribution with a mean of 100 and a standard deviation of 10 has 5% of thevalues above:

    A. ? 101.645

    B. ? 101.96

    C. ? 116.45

    D. ? 119.6

    3. The same distribution has 97.5% of values below:

    A. ? 101.645

    B. ? 101.96

    C. ? 116.45

    D. ? 119.6

    4. For a standard normal distribution, the area to the right of z=+1.5 is:

    A. ? 0.0668

    B. ? 0.1469

    C. ? 0.8531

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    D. ? 0.9332

    5. For a standard normal distribution, the area to the left of z=+1.05 is:

    A. ? 0.0668

    B. ? 0.1469

    C. ? 0.8531

    D. ? 0.9332

    6. For a standard normal distribution, the area to the right of z= -2.03 is:

    A. ? 0.01072

    B. ? 0.02118

    C. ? 0.97882

    D. ? 0.98928

    7. For a standard normal distribution, the area between z= -2 and z=+1 is:

    A. ? 0.18095

    B. ? 0.31905

    C. ? 0.61430

    D. ? 0.81905

    8. For a standard normal distribution, the area between z= +0.5 and z=+1 is:

    A. ? 0.1503

    B. ? 0.4667

    C. ? 0.5333

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    D. ? 0.8497

    9. IQ scores are said to be normal with a mean of 100 and a standard deviation of 10.

    What percentage of people will have an IQ of over 120:

    A. ? 2.275%

    B. ? 11.51%

    C. ? 15.87%

    D. ? 22.75%

    10. For the same IQ distribution, what percentage will be below 95?

    A. ? 3.85%

    B. ? 30.85%

    C. ? 50%

    D. ? 69.15%

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    Chapter 11

    1. You can take a smaller sample if

    A. ? you want to do a more detailed analysis of subgroups

    B. ? less accuracy is acceptable

    C. ? a higher level of confidence is required

    D. ? there is more variability in the population

    2. If you decide to use a 95% confidence interval rather than a 99% confidence interval youwould expect the confidence interval to become

    A. ? wider

    B. ? stay the same

    C. ? smaller

    D. ? increase by 4%

    3. Given the sample statistics n = 80, = 9.90 and s = 1.84 , the 95% confidence intervalis given by

    A. ? = 9.90 0.40

    B. ? = 9.90 1.84

    C. ? = 8.06 1.84

    D. ? = 9.90 3.61

    4. To estimate the true mean to within 5.00 with a 95% confidence interval, given astandard deviation of 56.50 requires a sample size of

    A. ? 100

    B. ? 250

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    C. ? 500

    D. ? 1000

    5. In a survey of 300 call customers, 33 complain that connection time is a problem forthem. The 95% confidence interval is

    A. ? 33 2%

    B. ? 33 4%

    C. ? 11% 2%

    D. ? 11% 4%

    6. Assuming a worse case scenario that p = 50% the sampling size required to give a 95%confidence interval with a sampling error of no more that 2% is

    A. ? 1000

    B. ? 1500

    C. ? 2000

    D. ? 2500

    7. Given n1 = 150, x1 = 78.40, s1 = 8.20 and n2 = 180, x2 = 72.00, s2 = 6.45 the 95%confidence interval for the difference of means is given by

    A. ? 6.40 1.62

    B. ? 6.40 1.96

    C. ? 6.40 0.82

    D. ? 6.40 3.24

    8. Given n1 = 150, p1 = 7% and n2 = 180, p2 = 4% the 95% confidence interval for thedifference of means is given by

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    A. ? 3% 3%

    B. ? 3% 5%

    C. ? 3% 7%

    D. ? 3% 9%

    9. A sample of 70 is taken from a population of 80. The finite population correction factor is

    A. ? 0.9354

    B. ? 0.875

    C. ? 0.3536

    D. ? none of these

    10. A random sample of 8 business transactions was selected from a large number of suchtransactions. The degrees of freedom and the critical value using the t-distribution for the95% confidence interval would be

    A. ? = 7 and cv = 1.895

    B. ? = 8 and cv = 1.860

    C. ? = 7 and cv = 2.365

    D. ? = 6 and cv = 2.447

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    Chapter 12

    1. A hypothesis

    A. ? is always a good idea

    B. ? can always be accepted if the sample is large enough

    C. ? a concept that should be accepted

    D. ? none of the above

    2. The larger the value of the test statistic the more likely you are to

    A. ? reject the alternative hypothesis

    B. ? accept the null hypothesis

    C. ? reject the null hypothesis

    D. ? reject the null hypothesis and reject the alternative hypothesis

    3. Given H0: = 100, H1: 100, a significance level of 5% and z = 2.07

    A. ? you would accept the null hypothesis

    B. ? you would reject the null hypothesis

    C. ? you would change the level of significance

    D. ? you would accept the alternative hypothesis

    4. Given H0: = 50%, H1: 50%, a significance level of 5% and z = -1.04

    A. ? you would accept the null hypothesis

    B. ? you would reject the null hypothesis

    C. ? you would change the level of significance

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    D. ? you would accept the alternative hypothesis

    5. A Local Authority is interested in whether the average travel distance to school within a

    study area has remained at 2 miles or has increased The hypotheses can be stated as:

    A. ? H0 = 2 H1 2

    B. ? H0 = 2 H1 < 2

    C. ? H0 = 2 H1 > 2

    D. ? H0 < 2 H1 = 2

    6. The marketing department claims that 60% of customers are aware of the full range ofthe products offered by the company. Senior management thinks it could be less. Thehypotheses can be stated as:

    A. ? H0 = 60% H1 60%

    B. ? H0 = 60% H1 < 60%

    C. ? H0 = 60% H1 > 60%

    D. ? H0 < 60% H1 = 60%

    7. Given H0 (1 2) = 0 and H1 ( 1 2) < 0 where is a percentage, we are testing

    A. ? a null hypothesis that the percentage in population 1 is smaller than thepercentage in population 2

    B. ? a null hypothesis that the than the percentage population 1 is larger than thepercentage population 2

    C. ? a null hypothesis of no difference against an alternative that the percentage ofpopulation 1 is smaller that population 2

    D. ? a null hypothesis of no difference against an alternative that the percentage ofpopulation 1 is larger that population 2

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    Chapter 13

    1. A parametric test requires the following conditions

    A. ? a null hypothesis that can be stated in terms of a parameter

    B. ? a meaningful level of measurement has been achieved that gives validity todifference

    C. ? a test statistic that follows a known distribution

    D. ? all of the above is true

    2. A non-parametric test requires

    A. ? a null hypothesis

    B. ? the calculation of a test statistic

    C. ? the use of critical values

    D. ? all of the above

    3. A chi-squared test statistic of 16.548 has been calculated for a 4 by 5 cross tabulation(with all expected frequencies above 5). Using a 5% significance level

    A. ? you would compare with a critical value of 21.0 and not reject the nullhypothesis

    B. ? you would compare with a critical value of 21.0 and reject the null hypothesis

    C. ? you would compare with a critical value of 14.8 and not reject the nullhypothesis

    D. ? you would compare with a critical value of 14.8 and reject the null hypothesis

    4. A frequency table has been used to report the length of life of a component. The tablehas 8 intervals and has been used to calculate the sample mean and sample standarddeviation. It has been decided to test at the 1% significance level whether the length oflife follows a normal distribution. A chi-squared test statistic of 13.246 was calculated by

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    comparing the observed and expected frequencies (with all expected frequencies above5). You would compare the chi-squared value with a critical value of

    A. ? 11.1 and not reject the null hypothesis

    B. ? 11.1 and reject the null hypothesis

    C. ? 15.1 and not reject the null hypothesis

    D. ? 15.1 and reject the null hypothesis

    5. You are using the Mann-Whitney U test for a small sample and have been given thefollowing summary:

    Rank Sample

    1 22 23.5 13.5 25 16 27 18.5 18.5 210 211 112 1

    Using a 5% significance level

    A. ? you would compare a T value of 10 with a critical value of U of 6 and reject nullhypothesis

    B. ? you would compare a T value of 10 with a critical value of U of 6 and not rejectnull hypothesis

    C. ? you would compare a T value of 10 with a critical value of U of 6 and reject nullhypothesis

    D. ? you would compare a T value of 10.5 with a critical value of U of 12 and notreject null hypothesis

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    6. You are using the Mann-Whitney U test for a large sample and have been given thefollowing statistics: T = 258, n1 = 15 and n2 = 25. Using a 5% significance level youwould compare a z value of

    A. ? +1.87 with +1.645 and reject null hypothesis

    B. ? +1.87 with +1.96 and not reject null hypothesis

    C. ? -2.87with +1.96 and reject null hypothesis

    D. ? +2.87 with +1.96 and not reject null hypothesis

    7. A company has identified a number of fraudulent claims. To test whether they arerandom they should use a:

    A. ? Mann-Whitney U test for small samples

    B. ? Wilcoxon test for small samples

    C. ? Wilcoxon test for large samples

    D. ? Runs test

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    Chapter 14

    1. Correlation is a measure of

    A. ? cause and effect

    B. ? the intercept

    C. ? the change in y

    D. ? none of these

    2. A correlation coefficient cannot take the value

    A. ? 0

    B. ? -1

    C. ? +1.50

    D. ? 0.5567

    3. A perfect positive relationship is indicated by the correlation coefficient

    A. ? +1

    B. ? 0

    C. ? -1

    D. ? 100%

    4. You have been given the following data for y and x:

    You would expect the correlation coefficient that you would calculate to equal

    A. ? +1

    B. ? 0

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    C. ? -1

    D. ? any value between -1 and +1

    5. You have been given the following data for y and x:

    You would expect the correlation coefficient that you would calculate to equal

    A. ? +1

    B. ? 0

    C. ? -1

    D. ? none of these

    6. A correlation coefficient near +1 would suggest

    A. ? a limited correlation

    B. ? a complete set of data

    C. ? a strong positive relationship

    D. ? a strong negative relationship

    7. A Spearmans coefficient of rank correlation near to 0 would suggest

    A. ? the need for an alternative test

    B. ? a poor relationship

    C. ? the possibility of a negative relationship

    D. ? the need fro improved measurement

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    8. The coefficient of determination of 90% would suggest

    A. ? there is a good explanation of cause and effect

    B. ? there is a limited explanation of cause and effect

    C. ? that most of the variation in the data has been explained

    D. ? there is a lack of explanation of variation in the data

    9. Transformation of the data can

    A. ? improve the quality of the data

    B. ? increase the amount of data

    C. ? improve the fit of a linear relationship

    D. ? identify non-linear relationships

    10. Using a test of significance for the correlation coefficient

    A. ? we may be able to accept the alternative hypothesis that some relationshipexists

    B. ? we may be able to accept the null hypothesis that some relationship exists

    C. ? we may be able to reject the null hypothesis that some relationship exists

    D. ? none of the above

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    Chapter 15

    1. The regression line may be referred to as

    A. ? the line of best fit

    B. ? the least squares line

    C. ? the regression of y on x

    D. ? all of the above

    2. If the correlation coefficient is equal to +1 then

    A. ? all points will lie on a line sloping upwards to the right

    B. ? all points will lie on a line sloping downwards to the right

    C. ? some points will lie on a line sloping upwards to the right

    D. ? some points will lie on a line sloping downwards to the right

    3. If the correlation coefficient is equal to -0.3 then we would expect to make

    A. ? good predictions from a regression line sloping upwards to the right

    B. ? good predictions from a regression line sloping downwards to the right

    C. ? poor predictions from a regression line sloping upwards to the right

    D. ? poor predictions from a regression line sloping downwards to the right

    4.

    Which of the following equations best describe this data?

    A. ? y = 8 + 12x

    B. ? y = 12 + 8x

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    C. ? y = 8

    D. ? y = 12

    5. You have been given the following data for y and x:

    Which of the following equations best describe this data?

    A. ? y = 11 + 3x

    B. ? y = 20 + 3x

    C. ? y = 11 + 5x

    D. ? y = 20 + 5x

    6. You have been given the following data for y and x:

    x 15 16 17 17 18y 71 72 74 84 87

    Which of the following regression lines do you think would best fit this data?

    Hint: you should be helpful to draw the scatter diagram first

    A. ? y = -12.42 - 5.42x

    B. ? y = -12.42 + 5.42x

    C. ? y = +12.42 + 5.42x

    D. ? y = +12.42 - 5.42x

    7. If the value we would predict for y given x = 9 is

    A. ? 212.6

    B. ? 212.8

    C. ? 213.8

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    D. ? 214.6

    8. If the value we would predict for y given x = -12 is

    A. ? -117

    B. ? 117

    C. ? -87

    D. ? 87

    9. Extrapolation is

    A. ? prediction outside the range of the data

    B. ? any prediction

    C. ? prediction within the range of the data

    D. ? no prediction

    10. A transformation to linearity

    A. ? will allow regression analysis to be used

    B. ? will reduce the correlation coefficient

    C. ? limit further analysis

    D. ? is unnecessary provided you have sufficient data

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    Chapter 16

    1. Multiple regression relates

    A. ? the dependent variable y to two or more explanatory variables

    B. ? the dependent variable y to two or more dependent variables

    C. ? an explanatory variable to one or more dependent variables

    D. ? an explanatory variable to one dependent variable

    2. The coefficient of determination

    A. ? provides a measure of the variation explained by the regression model

    B. ? can guide the selection of additional variables

    C. ? can be given as an adjusted figure to provide an unbiased estimate

    D. ? all of the above

    3. Multicollinearity exists when

    A. ? two or more of the independent variables are not correlated

    B. ? the dependent variables is highly correlated with two or more of theindependent variables

    C. ? two or more of the independent variables are highly correlated

    D. ? the dependent variables is not highly correlated with the independent variables

    4. The basic test of autocorrelation is provided by

    A. ? the coefficient of determination

    B. ? the Durbin-Watson test

    C. ? the t-test

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    D. ? none of the above

    5. The multiple regression model will be improved by the

    A. ? exclusion of seasonality

    B. ? reduced number of variables

    C. ? careful specification of variables

    D. ? none of the above

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    Chapter 17

    1. A time series model could include

    A. ? Trend

    B. ? Seasonal factors

    C. ? Cyclical factors

    D. ? All of the above

    2. A trend is

    A. ? copying past figures

    B. ? a general direction in which the figures are moving

    C. ? being the same as other current figures

    D. ? the use of regression

    3. the use of regression

    A. ? A = T S C R

    B. ? A = T S + C + R

    C. ? A = T + S + C + R

    D. ? A = T S C R

    4. The additive model is given by

    A. ? A = T S C R

    B. ? A = T S + C + R

    C. ? A = T + S + C + R

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    D. ? A = T S C R

    5. The number of periods included in a moving average trend correspond to

    A. ? always 4 , 5 or 6

    B. ? the maximum possible

    C. ? the minimum possible

    D. ? none of these

    6. The seasonal factor for the additive model is estimated using

    A. ? A - T

    B. ? T S

    C. ? T/A

    D. ? A/T

    7. Predictions are made by

    A. ? averaging the trend and seasonal variation

    B. ? extending the trend and adjusting for seasonal factor

    C. ? giving the average seasonal variation

    D. ? extending for the trend and adjusting for the residual

    8. The exponentially weighted moving average

    A. ? gives more weight to recent data

    B. ? has a sum of weights which equals 1

    C. ? is weighted exponentially

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    D. ? all of these

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    Chapter 18