1. The owner of a local nightclub has recently surveyed a random sample of 250 customers of the club. She wishes to determine whether or not the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. The appropriate hypotheses are H₀: <=30 versus H₁: > 30. If she concludes the mean age is > 30 when in fact it is <=30, she makes a: (Choose one)

A. Correct decision

B. Type I error

C. Type II error

2. The fire alarm went off in BANC Hall on a certain day. A thorough examination revealed that it was a false alarm, since there was no fire. In the content of hypothesis testing with H₀: the building is not on fire versus H₁: the building is on fire, what error has been made by the alarm? (Choose one)

A. Type I error

B. Type II error

C. Type III error

3. A local eat-in-pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that pizza delivery will be successful if the mean time spent on the deliveries is less than 30 minutes. Hence let H₀: >= 30 versus H₁: < 30 since the owner's research objective is to see if mean delivery time is less than 30 minutes. The owner has randomly selected 35 customers and has delivered pizzas to their homes. Suppose the p-value for the hypothesis test was found to be 0.04. State the correct conclusion. (Choose one)

A. At =0.01 (99% Confidence), there is sufficient evidence that the pizza delivery will be successful.

B. At =0.02 (98% Confidence), there is sufficient evidence that the pizza delivery will be successful.

C. At =0.05, (95% Confidence), there is sufficient evidence that the pizza delivery will be successful.

D. All of the above statements are true.

4. A consumer product magazine recently ran a story concerning the increasing price of VCRs. According to the story, the average price of VCRs in 2002 was $215. To conduct a test of hypotheses to determine if the mean price of VCRs is greater than $215, a random sample of 20 VCRs was collected. The sample resulted in a sample mean of $225.23 and a sample standard deviation of $39.6.

The Null and Alternate Hypotheses for this test is: (Choose one)

A. H₀: = 215 versus H_a: 215

B. H₀: < = 215 versus H_a: > 215

C. H₀: > = 215 versus H_a: < 215

D. H₀: < = 225.23 versus H_a: > 225.23

5. Using the appropriate decision rule, the conclusion at =0.05 is: (Choose one)

A. We are 95% confident that the mean price exceeds $215.

B. We are 95% confident that the mean price DOES NOT exceed $215.

C. Since n=20, we can't test without knowing the distribution of VCR prices.

D. The mean price is definitely $215 or less.

6. Researchers have claimed that the mean number () of hours of headaches during a semester of Statistics is 14. Your Statistics Professor disputes this claim vehemently. She believes the mean is much more than this and wishes this to be her research objective. She samples 16 students and finds the sample mean is 15 and the sample standard deviation is 2.0. Assume the number of hours of headaches has a population that is normally distribution.

State the Null and Alternate Hypothesis for this test: (Choose one)

A. H₀: <=14 versus H₁: >14.

B. H₀: p <=14 versus H₁: p >14.

C. H₀: =14 versus H₁: 14.

D. H₀: >=14 versus H₁: <14.

7. A sample of 16 unemployed men was given a mental health examination using the General Health Questionnaire (GHQ). The GHQ is a widely used measure of mental health, with lower values indicating better mental health. The mean and standard deviation of the GHQ scores were x = 9.06 and s = 5.10, respectively. If we wish to research that the mean GHQ score () for all unemployed men is less than 10:

Which of the following is the correct alternative hypothesis? (Choose one)

A. H₁: < 10

B. H₁: > 10

C. H₁: 10

D. H₁: = 10

8. Is it necessary to assume that the population of GHQ scores have a normal distribution to perform a t-test? (Choose one)

A. Yes, since the sample size is only 16.

B. No, the sample size is 16.

C. No, we are given the sample standard deviation s.

D. Yes, we are given the sample standard deviation s.

9. Suppose we wish to test H₀: <= 47 versus H_a: > 47. What would result if we conclude that the mean is greater than 47 when its true value is really 52? (Choose one)

A. We have made a Type I error.

B. We have made a Type II error.

C. We have made a correct decision.

D. We have made an acceptance error.

10. A hypothesis test is used to prevent a machine from under-filling or over-filling quart bottles of beer. Based on the sample results, the null hypothesis is rejected and the machine is shut down for inspection. A thorough examination reveals there is nothing wrong with the filling machine. From a statistical point of view: (Choose one)

A. A correct decision was made.

B. A Type I error was made.

C. A type II error was made.

D. Type I and Type II errors were made.