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BATAC NATIONAL HIGH SCHOOL

City of Batac, Ilocos Norte

DIAGNOSTICS TEST

Advanced Statistics

(Special Science Class)

Direction: Write the letter that best and adequately answers each item.

1. It is a device used to list all possibilities of a sequence of events in a systematic way.

a. tree diagram b. Venn diagram c. paradigm d. table

2. Supposed a girl has 5 pairs of pants, 3 skirts and 7 blouses. How many different outfits are possible?

a. 15 b. 22 c. 105 d. 26

3. A group of 14 must select a president, vicepresident, a treasurer and a secretary. How many ways can thisbe done?

a. 1 654 b. 3 890 c. 240 240 d. 120 120

4. How many 5-digit even numbers can be formed with the digits 1, 2, 3, 4, 5, and 6 if repetitions are not

allowed?a. 360 b. 720 c. 432 d. 265

5. A couple plans to have three children. Find the probability that they will have all girls.a. 1/4 b. 2/3 c. 1/8 d. 1/16

6. Two cards are selected at random from a standard deck. What is the probability that the first is an 8 and thesecond is a queen if the first card is not replaced before the second is selected?

a. 1/ 221 b. 16/2 652 c. 1/561 d. 8/52

7. A type of error when one rejects the null hypothesis when it is true.

a. Type III b. Type II c. Type I d. Type IV

8. It is an inference about a population parameter.a. parametric test b. statistical test c. ttest d. t- test

9. To test the hypothesis , one would use a _______________ tailed test.a. normal distribution b. one c. two d. three

10. The strength of the relationship between two variables is determined by the value of

a. r b. a c. x d.

11. A university dean wishes to estimate the average number of hours his part-time instructors per week. Thestandard deviation from a previous study is 2.6 hours. How large a sample must be selected if he wants to be

99% confident of finding whether the true mean differs from the sample by 1 hour?

a. 43 b. 44 c. 45 d. 46

12. The following are properties of good estimator except being

a. relative efficient b. independent c. consistent d. unbiased

13. When a 95% confidence interval is calculated instead of 99% confidence interval with n being the sample,

the maximum error of estimate will be

a. smaller b. larger c. the same d. no effect

14. The values of the chi-square variable cannot be

a. positive b. 0 c. negative d. none of the above

15. The null hypothesis in the ANOVA is that all of the means are ________________.

a. equal b. unequal c. variable d. none of these

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For numbers 1620.

A study is being conducted to determine whether there is a relationship between jogging and blood pressure.A random sample of 210 subjects is selected, and they are classified as shown in the table that follows.

Use (Critical value is 5.991)Blood Pressure

Jogging

Status

Low Moderate High Total

O E O E O E

Joggers

34 57 21 112Non-

joggers15 63 20 98

Total49 120 41 210

16. What is the null hypothesis in the problem?

a. The blood pressure of a person does not depend on whether he jogs or not.

b. The blood pressure of a person depends on whether he jogs or not.c. The blood pressure is relatively connected to jogging.

d. The blood pressure of a person is not associated when he jogs or not.

17. What is the alternative hypothesis of the problem?

a. The blood pressure of a person does not depend on whether he jogs or not.b. The blood pressure of a person depends on whether he jogs or not.

c. The blood pressure is relatively connected to jogging.

d. The blood pressure of a person is not associated when he jogs or not.18. What is the degrees of freedom to be used?

a. 2 b. 3 c. 5 d.4

19. What is the computed chi-square value?a. 6.79 b. 7.69 c. 7.80 d. 8.70

20. What decision or conclusion can you make based on your computations?

a. accept b. reject c. d. none

For numbers 21

25.

A clothing manufacturer wants to determine whether customers prefer any specific color over the othercolors in shirts. He selects random sample of 102 shirts sold and notes the color. The table shows the results.At a = 0.10, is there a color preference? (Critical value = 9.236)

21. What is the null hypothesis?

a. Customers show a color preference.

b. Customers have no color preference.c. Customers are not aware of color preference.

d. Customers are attracted by bright colors.

22. What is the alternative hypothesis?a. Customers show a color preference.

b. Customers have no color preference.

c. Customers are not aware of color preference.d. Customers are attracted by bright colors.

23. What degrees of freedom is to be used?

a. 4 b. 5 c. 6 d. 7

24. What is the computed chi-square value?

a. 45.567 b. 59. 7467 c. 78.9987 d.35.7793

25. What is the decision are we to adapt?

a. accept b. reject c. d. none

Color Number Sold

White 43

Blue 22

Black 16

Red 10

Yellow 6

Green 5