$100$2$200$$2200

$300$300$30$3000

$400$400$400$400

$500$500$500$500

JeopardyJeopardyLet’s Let’s

Test ItTest ItI’mI’m

NormalNormal

I RegressI RegressAnalyzeAnalyze

ThisThis

#’s Where#’s Where

do theydo they

come fromcome from

$600$600 $600$600

With With

ConfidenceConfidenceProbablyProbably

$100

$100

$$2200$$2200

$300$300$300$300

$400$400$400$400

$500$500$500$500

$600$600 $600$600

$100$2$200

$300$300

$400$400

$500$500

$600$600

$100

$100

$2$200$$2200

$300$300$300$300

$400$400$400$400

$500$500$500$500

$600$600 $600$600

$100

Final JeopardyFinal JeopardyMake your bidsMake your bids

What is another name for a young bear What is another name for a young bear cub that is ready to leave home? cub that is ready to leave home?

The answer isThe answer is

BRUINBRUIN

Data ProductionData Production

A researcher in early childhood education believes A researcher in early childhood education believes that kindergarten-age children are more receptive that kindergarten-age children are more receptive to help from a female teacher. The researcher to help from a female teacher. The researcher randomly samples four classes with male teachers randomly samples four classes with male teachers and four classes with female teachers. The and four classes with female teachers. The students in the classes are interviewed, and a students in the classes are interviewed, and a measure of how receptive the students in each measure of how receptive the students in each class are to help from the teacher is determined. class are to help from the teacher is determined. This study is an example of This study is an example of

$100$100MainMain

AnswerAnswer

Observational Observational studystudy

MainMain

QuestioQuestionn

Data AnalysisData Analysis

Find the mean of the Find the mean of the following test scores following test scores

18, 19, 15, 12, 2118, 19, 15, 12, 21

$100$100MainMain

AnswerAnswer

1717

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QuestioQuestionn

Correlation & Correlation & Regression Regression

Is your social security number Is your social security number a categorical or quantitative a categorical or quantitative

variable?variable?

$100$100

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AnswerAnswer

categoricalcategorical

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QuestioQuestionn

What part of Normal What part of Normal

don’t you understand?don’t you understand?

$100$100

MainMain

AnswerAnswer

68, 95, 99.7 is called the ____rule

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QuestioQuestionn

emperical

Tests ofTests of

SignificanceSignificance

When doing a t test, if the P When doing a t test, if the P Value is < .05 then we would Value is < .05 then we would ______ the null hypothesis and ______ the null hypothesis and

______ the alternative.______ the alternative.

$100$100

MainMain

AnswerAnswer

Reject, acceptReject, accept

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QuestioQuestionn

ProbabilityProbability

Randy is a 70% free throw Randy is a 70% free throw shooter, if he takes 40 shots, shooter, if he takes 40 shots,

about how many will he about how many will he make?make?

$100$100MainMain

AnswerAnswer

MainMain

QuestioQuestionn

2828

ConfidenceConfidenceIntervalsIntervals

As your level of confidence As your level of confidence increases, the confidence increases, the confidence

interval gets _______. interval gets _______.

$100$100

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AnswerAnswer

WiderWider

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QuestioQuestionn

Data ProductionData Production

A biologist is studying the effect of nutrients and levels of A biologist is studying the effect of nutrients and levels of salinity in water on the growth of fish. Ten fish are to be salinity in water on the growth of fish. Ten fish are to be assigned at random to each of 12 similar tanks in a controlled assigned at random to each of 12 similar tanks in a controlled environment. The biologist wants to use 4 different nutrients environment. The biologist wants to use 4 different nutrients and 3 different salinity levels. In this design, how many units and 3 different salinity levels. In this design, how many units are being assigned to each treatment? are being assigned to each treatment?

$200$200

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AnswerAnswer

MainMain

QuestioQuestionn

1212

Data AnalysisData Analysis

Find QFind Q11 and Q and Q33 for the for the following test scores show following test scores show without using a calculatorwithout using a calculator

18, 19, 15, 12, 2118, 19, 15, 12, 21

$200$200MainMain

AnswerAnswer

13.5 and 2013.5 and 20

MainMain

QuestioQuestionn

Correlation & Correlation & RegressionRegression

$200$200A ________ variable measures an A ________ variable measures an

outcome of a study. outcome of a study.

MainMain

AnswerAnswer

responseresponse

MainMain

QuestioQuestionn

What part of Normal What part of Normal

don’t you understand?don’t you understand?

Find z with a test score of 85, if Find z with a test score of 85, if test scores have a normal test scores have a normal

distribution of N(80, 2)distribution of N(80, 2)

$200$200

MainMain

AnswerAnswer

z = 2.5z = 2.5

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QuestioQuestionn

Tests ofTests of

Significance Significance

For a two sided t test the t test For a two sided t test the t test statistic is 2.1 with df = 18, find statistic is 2.1 with df = 18, find

the P Valuethe P Value

$200$200

MainMain

AnswerAnswer

.05.05

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QuestioQuestionn

ProbabilityProbability

The price of gasoline increased The price of gasoline increased from $3.70 per gallon to from $3.70 per gallon to

$3.95 per gallon in the last $3.95 per gallon in the last three months. What percent three months. What percent

increase is this?increase is this?

$200$200MainMain

AnswerAnswer

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QuestioQuestionn

6.7%6.7%

ConfidenceConfidence

Intervals Intervals

A significance level of A significance level of αα = .05 = .05 has upper tail probability of has upper tail probability of

____________

$200$200

MainMain

AnswerAnswer

.025.025

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QuestioQuestionn

Data ProductionData Production

You would like to compare shopping tendencies for You would like to compare shopping tendencies for different age groups and ethnicities. You go to different age groups and ethnicities. You go to Wal-Mart and ask questions to different people. Wal-Mart and ask questions to different people. This type of sampling is called ______________.This type of sampling is called ______________.

$300$300

MainMain

AnswerAnswer

MainMain

QuestioQuestionn

Convenience Convenience samplingsampling

Data AnalysisData Analysis$300$300

MainMain

AnswerAnswer

Find the IQR for the ages of children in a family

15, 14, 12, 19

44

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QuestioQuestionn

Correlation & Correlation & RegressionRegression

$300$300What is the difference between r What is the difference between r

and rand r²²

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AnswerAnswer

MainMain

QuestioQuestionn

R tells you how related R tells you how related to variables are. Rto variables are. R² tells ² tells you how well a regression you how well a regression

fits the datafits the data

What part of Normal What part of Normal don’t you understand?don’t you understand?

$300$300

Find the area to the right of z = 1.27

MainMain

AnswerAnswer

1 - .898 = .102

MainMain

QuestioQuestionn

Tests ofTests of Significance Significance

What is a type I and a type II errorWhat is a type I and a type II error

$300$300

MainMain

AnswerAnswer

MainMain

QuestioQuestionn

Type I – Reject Ho when Ho is true

Type II – Accept Ho when we should

reject.

ProbabilityProbability

55% of adults drink coffee55% of adults drink coffee Draw a venn Draw a venn diagramdiagram

25% drink tea25% drink tea What % drink only soda?What % drink only soda?

45% drink soda45% drink soda

15% drink coffee and tea15% drink coffee and tea

5% drink all three5% drink all three

25% drink coffee and soda 25% drink coffee and soda

5% drink only tea5% drink only tea

$300$300

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AnswerAnswer

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QuestioQuestionn

ConfidenceConfidenceIntervalsIntervals

Hillary and Obama are running for president, Hillary and Obama are running for president, you want a determine the you want a determine the minimum sample minimum sample sizesize with 95% confidence and a margin of with 95% confidence and a margin of

error of 3%. (Assume probability of getting error of 3%. (Assume probability of getting any one vote is .5)any one vote is .5)

$300$300

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AnswerAnswer

MainMain

QuestioQuestionn

z*(sqrt p (1-p)/n) z*(sqrt p (1-p)/n) << .03 .03

n = 1067n = 1067

Data ProductionData Production

Name three things that Name three things that must be satisfied when must be satisfied when designing a question for designing a question for

a survey.a survey.

$400$400MainMain

AnswerAnswer

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QuestioQuestionn

No undercoverage, No undercoverage, No bias, a SRSNo bias, a SRS

Data AnalysisData Analysis

What is the Acronym used to What is the Acronym used to describe the collection of describe the collection of

data, mostly used in normal data, mostly used in normal distributionsdistributions

$400$400MainMain

AnswerAnswer

CUSS or SUCSCUSS or SUCS

MainMain

QuestioQuestionn

Correlation & Correlation & RegressionRegression

In Florida, as the number In Florida, as the number powerboat registrations increase, powerboat registrations increase, the number of manatees killed the number of manatees killed increases by y=-35.2 + .113b. increases by y=-35.2 + .113b. Predict the number of manatees Predict the number of manatees killed when 500 boats were killed when 500 boats were registered.registered.

$400$400

MainMain

AnswerAnswer

2222

MainMain

QuestioQuestionn

DAILY DOUBLEDAILY DOUBLE

MainMain

QuestioQuestionn

What part of Normal What part of Normal

don’t you understand?don’t you understand?

Draw a picture of a Normal distribution Draw a picture of a Normal distribution with N(34,5) distributionwith N(34,5) distribution

$400$400

MainMain

AnswerAnswer

MainMain

QuestioQuestionn

Tests ofTests ofSignificanceSignificance

Explain the law of large Explain the law of large numbers numbers

$400$400

MainMain

AnswerAnswer

As the number of As the number of observations drawn from observations drawn from a population increases, a population increases,

the sample mean the sample mean approaches the true approaches the true

population meanpopulation mean

MainMain

QuestioQuestionn

ProbabilityProbability

What is the probability of flipping a What is the probability of flipping a coin 3 times and getting exactly 2 coin 3 times and getting exactly 2 heads?heads?

$400$400

MainMain

AnswerAnswer

MainMain

QuestioQuestionn

3/8 or .3753/8 or .375

ConfidenceConfidenceIntervalsIntervals

What is the formula for a What is the formula for a confidence interval for a two confidence interval for a two

samplesample

$400$400

MainMain

AnswerAnswer

xx11 – x – x22 ± t* s± t* s11²/n²/n11 + s + s22²/n²/n22

MainMain

QuestioQuestionn

Data ProductionData Production

A university wants to know how much A university wants to know how much money students earn from summer money students earn from summer employment out of a population of employment out of a population of 22,100 undergraduates. Explain how 22,100 undergraduates. Explain how you would choose a stratified random you would choose a stratified random sample.sample.

$500$500MainMain

AnswerAnswer

Students are broken up Students are broken up by levels, male and by levels, male and

female and by students female and by students level of financial aid. A level of financial aid. A SRS is drawn from each SRS is drawn from each

group.group.

MainMain

QuestioQuestionn

Data AnalysisData Analysis

Find the standard deviation for the following test Find the standard deviation for the following test scores show without using a calculatorscores show without using a calculator

18, 19, 15, 12, 2118, 19, 15, 12, 21

$500$500

MainMain

AnswerAnswer

Sqrt( (18-17)Sqrt( (18-17)² + ² + (19-(19-17)17)² + ² + (15-17)(15-17)² ² (12-17)(12-17)² ²

(21-17)(21-17)²²

MainMain

QuestioQuestionn

Correlation & Correlation & RegressionRegression

Log y = .2 + . 3xLog y = .2 + . 3x

Transform the data into an exponential equation Transform the data into an exponential equation

$500$500

MainMain

AnswerAnswer

MainMain

QuestioQuestionn

y = (10^.2)(10^.3x)y = (10^.2)(10^.3x)

y = 1.58y = 1.58·2^x·2^x

What part of Normal What part of Normal

don’t you understand?don’t you understand?

Suppose that the percent of all Suppose that the percent of all Americans between 15-24 that have Americans between 15-24 that have been in a car accident is normally been in a car accident is normally distributed with N(.7, .03) distribution. distributed with N(.7, .03) distribution. In a sample of 2300 Americans, what In a sample of 2300 Americans, what is the probability that less than 65% is the probability that less than 65% have been in a car accident.have been in a car accident.

$500$500

MainMain

AnswerAnswer

P(Z < P(Z < .65 - .7.65 - .7 ) ) .03 .03

= -.05/.03 = - 5/3 = = -.05/.03 = - 5/3 = P(z < -1.67) = .0475 P(z < -1.67) = .0475

or 4.5%or 4.5%

MainMain

QuestioQuestionn

Tests ofTests ofSignificanceSignificance

A local teachers’ union claims that the average A local teachers’ union claims that the average number of school days missed due to illness by number of school days missed due to illness by the city’s school teachers is fewer than 5 per the city’s school teachers is fewer than 5 per year. A random sample of 28 city school teachers year. A random sample of 28 city school teachers missed an average of 4.5 days last year, with a missed an average of 4.5 days last year, with a sample standard deviation of 0.9 days. Assume sample standard deviation of 0.9 days. Assume that “days missed” follow a normal distribution that “days missed” follow a normal distribution with mean μ. with mean μ.

Estimate the Estimate the PP-value-value using your table using your table

$500$500

MainMain

AnswerAnswer

Between .005 Between .005 and .0025and .0025

MainMain

QuestioQuestionn

ProbabilityProbability

What is the difference between What is the difference between a binomial distribution and a a binomial distribution and a

geometric distribution?geometric distribution?

$500$500MainMain

AnswerAnswer

MainMain

QuestioQuestionn

Binomial – has n Binomial – has n observations with observations with probability pprobability pGeometric – has probability Geometric – has probability of p for success and 1-p for of p for success and 1-p for failure, n is the number failure, n is the number failures until the first failures until the first successsuccessExample: Find the probability of flipping Example: Find the probability of flipping

a coin 7 times and getting 3 heads. a coin 7 times and getting 3 heads. Find the probability of flipping coin 4 Find the probability of flipping coin 4 times, and stopping once you flip heads.times, and stopping once you flip heads.

ConfidenceConfidenceIntervalsIntervals

Is there a difference between the mean Is there a difference between the mean summer earnings for male and female summer earnings for male and female college students? Give a 90% confidence college students? Give a 90% confidence interval for the difference between the interval for the difference between the mean summer earnings of male and mean summer earnings of male and female students.female students.

$500$500

MainMain

AnswerAnswer

GroupGroup nn xx ss

MalesMales 675675 $1884.52$1884.52 $1368.37$1368.37

FemaleFemale 621621 $1360.39$1360.39 $1037.46$1037.46

Yes. ($413, $634)Yes. ($413, $634)

MainMain

QuestioQuestionn

Data ProductionData Production

Using your calculator to generate Using your calculator to generate random integers. How would you random integers. How would you simulate a 70% free throw shooter. simulate a 70% free throw shooter. That takes 12 free throws in a game.That takes 12 free throws in a game.

$600$600MainMain

AnswerAnswer

MainMain

QuestioQuestionn

randInt(0,9,12)->L1randInt(0,9,12)->L1The numbers 0-6 would represent a The numbers 0-6 would represent a shot made the numbers 7,8,9 would shot made the numbers 7,8,9 would

represent a miss. Find the proportion represent a miss. Find the proportion in 12 numbersin 12 numbers

Data AnalysisData Analysis

Name 3 ways to measure Name 3 ways to measure the spread of datathe spread of data

$600$600MainMain

AnswerAnswer

Standard Standard deviation, range, deviation, range,

and IQRand IQR

MainMain

QuestioQuestionn

Correlation & Correlation & Regression Regression

In the equation y = 1.0892 + .189xIn the equation y = 1.0892 + .189x

The variable y tells us how much gas is The variable y tells us how much gas is used (cubic feet), the variable x tells used (cubic feet), the variable x tells us how many days in one month a us how many days in one month a family uses their heater. Interpret family uses their heater. Interpret the slope of the regression line.the slope of the regression line.

$600$600

MainMain

AnswerAnswer

MainMain

QuestioQuestionn

On average, each On average, each additional day using additional day using

the heater, the heater, predicts .189 more predicts .189 more

cubic feet of gas per cubic feet of gas per day.day.

What part of Normal What part of Normal

don’t you understand?don’t you understand?

Find P(-1.13 < Z < 2.16)Find P(-1.13 < Z < 2.16)

$600$600

MainMain

AnswerAnswer

P(z < -1.13) = .1292P(z < -1.13) = .1292P(z < 2.16) = .9846P(z < 2.16) = .9846

Therefore Therefore P(-1.13 < Z < 2.16)P(-1.13 < Z < 2.16)

= .9846 - .1292 = .8554= .9846 - .1292 = .8554

MainMain

QuestioQuestionn

Tests ofTests of

SignificanceSignificance $600$600

MainMain

AnswerAnswer

The SAT scores of entering freshmen at X University have a normal distribution N(1200,90), while the SAT scores of entering freshmen at Y University have a normal distribution with N(1215, 110). Independent random samples of 100 freshmen are selected from each university. The probability that the sample mean from X University exceeds the sample mean from Y University is

85.54%

MainMain

QuestioQuestionn

ProbabilityProbability

$600$600MainMain

AnswerAnswer

Kobe Bryant is an 84% free throw shooter. In game 2 against the nuggets he scored 49 points and rolled up Carmelo and K Mart(in), in the game he made 8 out of 9 free throws. Find the probability of that happening. (binomial distribution)

MainMain

QuestioQuestionnBinomcdf(n,p,k) Binomcdf(n,p,k)

Binomcdf(9,.84,8) Binomcdf(9,.84,8) = =

.79.79

DAILY DOUBLEDAILY DOUBLE

MainMain

QuestioQuestionn

ConfidenceConfidence

IntervalsIntervals $600$600

MainMain

AnswerAnswer

Are jet ski’s dangerous? The Are jet ski’s dangerous? The regression equation is 327.29 regression equation is 327.29 + .0048x, t = 21.079, df = 8 + .0048x, t = 21.079, df = 8 Calculate and interpretCalculate and interpret a 98% CI for a 98% CI for the true slope of the regression line. the true slope of the regression line. (The slope is the increase in number (The slope is the increase in number of jet ski accidents per year per of jet ski accidents per year per thousand)thousand)

MainMain

QuestioQuestionn

(.0042, .0054) With 98% (.0042, .0054) With 98% confidence, we estimate that confidence, we estimate that for every extra thousand jet for every extra thousand jet skis in use, the number of skis in use, the number of accidents increase by a accidents increase by a

mean of 4.2 to 5.4 per year.mean of 4.2 to 5.4 per year.