3. 4. Consider the following hypothesis test: Но: и 3 18 5. Ha: µ + 18 6. A sample of 48 provided a sample mean a = 17 and a sample standard deviation s = 4.4. Enter negative values as negative numbers. 7. a. Compute the value of the test statistic (to three decimal places). 8. 9. b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value (to two decimal places). 10. • p-value is between and c. At a = 0.05, what is your conclusion? 11. p-value is - Select your answer - v Ho. 12. d. What is the rejection rule using the critical value? 13. Reject Ho ift is - Select your answer - v or t is Select your answer - 14. What is your conclusion (to three decimal places)? 15. t = Select your answer - v Ho. 16. 17. 18

1. The fuel efficiency of a new model pick-up truck (truck) is measured in miles per gallon (mpg). A company claims that their new truck gets 25 mpg on average. A consumer group thinks the company is lying and claims that the mean mileage for all the trucks is less than 25 mpg. In a random sample, of forty-five of these trucks the mean mpg was 23.3 mpg with a standard deviation of 5.1 mpg. a. Conduct a hypothesis test to test the consumer group's claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p- value, whether or not you reject Ho and whether you support the claim. b. Write a complete sentence describing what a Type I error is in context. c. Write a complete sentence describing what a Type II error is in context.

15. The Exotic Fruit Juice Co. sell cartons of Passion Fruit and Orange fruit juice. The amount of liquid in each carton is normally distributed with a mean of 266ml and a standard deviation of 20ml. Cartons containing more than 300ml produce no profit. What percentage of cartons will this be?

.    A medical researcher wishes to see whether the pulse rate of smokers are higher than the pulse rates of non-smokers.  Samples of 100 smokers and 100 nonsmokers are selected. The results are shown below.  Can the researcher conclude at an alpha = 0.05, that smokers have higher pulse rates than nonsmokers?     Smokers Non-Smokers Mean = 90 Mean = 88 Standard Deviation = 5 Standard Deviation = 6