1. The owner of a newly opened local tour agency would like to determine whether or not the mean age of their clients is over 50. If so, he plans to offer a free additional package in their tour. If the owner concludes that the mean age is over 50 when it is not, the owner makes a ___________ error. If the owner concludes the mean age is not over 50 when it is, he makes a __________ error.

A. Type II; Type II

B. Type I; Type I

C. Type I; Type II

D. Type II; Type I

2. The t distribution is similar to the standard normal distribution in the following ways except:

A. It is a family of curves based on the concept of degrees of freedom, which is related to sample sizes.

B. It is symmetrical about the mean.

C. The mean, median, and mode are equal to 0 and are located at the center of the distribution.

D. It is bell-shaped and the curve neve touches the x axis.

3. The alternative hypothesis is also called the:

A. Null hypothesis

B. Statistical hypothesis

C. Research hypothesis

D. Simple hypothesis

4. It is a statement that is accepted when the sample data does not provide sufficient evidence to support the null hypothesis.

A. Simple hypothesis

B. Statistical hypothesis

C. Composite hypothesis

D. Alternative hypothesis

5. The choice of performing a one-tailed or two-tailed test depends on

A. Alternative hypothesis

B. Level of Significance

C. Null hypothesis

D. Test statistic

6. If a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected?

A. 0.0367

B. 0.0501

C. 0.100

D. 0.299

7. For a certain hypothesis test, the computed z-value is 2.98 while the critical z-value is 2.33. The corresponding p-value for this test is

A. Lesser than the significance level.

B. Greater than the significance level.

C. Equal to the significance level.

8. It is a hypothesis which is tested for the purpose of rejection under the assumption that it is true.

A. Alternative hypothesis

B. Composite hypothesis

C. Null hypothesis

D. Statistical hypothesis

9. Inferential statistics is so named because it allows us to examine a sample and make inferences about

A. Another sample

B. The population from which the sample was taken.

C. An element of the sample.

D. None of the above.

10. A quality control inspector needs to know if customers are getting fewer ounces of a soft drink than the 28 ounces stated on the label. After the inspector collects data, she is going to conduct a hypothesis test. She should use

A. A two-tailed test.

B. A one-tailed test with the rejection region on the right tail.

C. A one-tailed test with the rejection region on the left tail.

D. Either a one-tailed or a two-tailed test.

11. In testing the hypothesis Ho: =50 vs Ha: 50, the following was obtained: n=64,x =53.5 and =10. The test statistic value is

A. t=2.8

B. t=-2.8

C. z=2.8

D. z=-2.8

12. The point that divides the region where the null hypothesis is rejected and the region where it is not rejected is the

A. Critical region

B. Critical value

C. Test statistic

D. Significance level

13. If an economist wants to determine whether there is sufficient evidence that the average monthly family income in a community exceeds Php40000,

A. Either a one-tailed or two-tailed test could be used.

B. A one-tailed test should be used.

C. A two-tailed test should be used.

D. A t-test should be used.

14. A consultant came up with a new system to increase productivity at your office. When you compared those who followed the system to those in a different office who did not adopt the system, the p-value for the comparison is 0.85. Is this system helpful?

A. Probably

B. It would depend on how the other office does it when it adopts the system.

C. Not likely.

D. Even knowing how the other office would do if the system were adopted, there is not enough information to answer the question.

15. Consider the hypothesis: Working at least 5 hours per day at a computer contributes to deterioration of eyesight. The alternative hypothesis is:

A. Working for less than 5 hours a day at a computer contributes to deterioration of eyesight.

B. Working at least 5 hours a day at a computer does not contribute to deterioration of eyesight.

C. Working at least 5 hours a day at a computer contributes to the deterioration of eyesight.

D. Working at least 5 hours a day at a computer improves eyesight.

16. If a hypothesis is not rejected at the 0.10 significance level, it

A. Must be rejected at the 0.05 level.

B. May be rejected at the 0.05 level.

C. Will not be rejected at the 0.05 level.

D. Must be rejected at the 0.01 level.

17. Police Supt. Kardo Dalisdis suspects there is a mole in his team. He believes that the newbie PSgt. Soriano is the mole since the leakage in the investigation occurs after Soriano transferred to Kardo's team. He thinks that the loyalty of Soriano still belongs to his former team. Which of the following situations will show that Kardo has committed a Type II error against his belief?

A. He did not fire Soriano and finds out that he is not the mole in his team.

B. He fires Soriano and finds out that he is the mole in his team.

C. He did not fire Soriano and finds out that he is the mole in his team.

D. He fires Soriano and finds out that he is not the mole in his team.

18. As the degrees of freedom for the t distribution increases, the distribution approaches

A. a value of zero for the mean

B. the t distribution

C. the normal distribution

D. the F distribution

19. Which of the following statements is not true about hypothesis tests?

A. Hypothesis tests are only valid when the sample is representative of the population for the variable of interest.

B. Hypotheses are statements about the population represented by the samples.

C. Hypotheses are statements about the sample/s from the population/s.

D. Conclusions are statements about the population/ represented by the sample/s.

20. Which of the following is not a basic assumption for a hypothesis test concerning two population means?

A. The samples are obtained from normally distributed populations.

B. The level of measurement of the dependent variable is nominal.

C. The level of measurement of the dependent variable is at least interval.

D. The level of measurement of the grouping variable is nominal.

21. When the population variances are unknown and are not equal in a hypothesis test for two population means, the test to be performed is also known as

A. Paired t-test.

B. Pooled t-test.

C. Welch two sample t-test

D. Two-sample z-test.

22. In testing a hypothesis about two population means, if the t distribution is used, which of the following assumptions is required?

A. Both populations from which the samples are to be taken are normally distributed.

B. The standard deviations of the populations are not the same.

C. The means of the populations are the same.

D. The sample sizes are equal.

23. An analyst wishes to determine if there is a significant difference between two population means. A sample of 10 items from population 1 yields a mean of 178 with a standard deviation of 20. A sample of 12 items from population 2 yields a mean of 200 with a standard deviation of 25. Assuming equal population variances, what is the computed test statistic value?

A. -2.2926

B. -2.2451

C. 2.5623

D. 2.7512

24. When testing for the difference between the means of two related populations, the usual null hypothesis for the test is

A. The difference between the two population means is equal to 1.

B. The difference between the two population means is greater than 0.

C. The difference between the two population means is equal to 0.

D. The difference between the two population means is greater than 1.

25. The Analysis of Variance (ANOVA) is a statistical procedure of comparing the ______ of more than two populations.

A. Means

B. Variances

C. Medians

D. Standard Deviations

26. A teacher wanted to determine whether there was a significant difference in the mean daily hours of study for students living in four different dormitories. She randomly selects 50 students from each of the four dormitories. What is the null hypothesis for this situation?

A. The mean daily hours of study is 3 hours for each dormitory.

B. The mean daily hours of study is not the same for each dormitory.

C. The mean daily hours of study is different for each of the 200 students in the sample.

D. The mean daily hours of study is the same for all four dormitories.

For #27 and #28: A study compared the grade point average (GPA) for students who were divided by 6 locations where they usually sat during lectures (i.e. left or right front, left or right center, left or right rear). A total sample size of 12 students was studied (2 students from each section) using one-way Analysis of Variance.

27. The Error Sum of Squares (SSE) is 50. What is the Mean Square Error (MSE)?

A. 4.17

B. 8.33

C. 10.00

D. 12.00

28. The Sum of Squares Treatment or Among Groups (SSA) is 60. What is the Mean Square Among groups (MSA)?

A. 10

B. 12

C. 30

D. 60

29. When the One-Way Analysis of Variance (ANOVA) result is significant, that is, the null hypothesis will be rejected, a follow-up test must be performed to determine which particular pairs of groups significantly differ. The follow-up test procedure is called a

A. Multiple two-sample t-test

B. Multiple two-sample z-test

C. Post-hoc analysis

D. Tukey's method

30. The following are assumptions underlying the use of ANOVA except

A. The samples that constitute the groups should be independent.

B. The variances of the subgroups should be homogeneous.

C. The individuals in the various subgroups should be selected on the basis of random sampling from normally distributed populations.

D. The data obtained for each sample should be approximately normal.