Hypothesis Testing Practice Problems - Prof. Marlow Q. Lemons, Study notes of Statistics

Download Hypothesis Testing Practice Problems - Prof. Marlow Q. Lemons and more Study notes Statistics in PDF only on Docsity! Practice Problems for Hypothesis Testing 1. A manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average activation temperature is 130°. A sample of 9 systems, when tested, yielded an average activation temperature of 131.08°. If the distribution of activation times is normal with standard deviation 1.5°, test the manufacturer’s claim at the 0.01 level. a. What are the correct hypotheses? Answer = ii i. ii. iii. iv. b. What is the test statistic for this test? Answer = iv i. 2.33 ii. 2.57 iii. 6.48 iv. 2.16 c. What is the standard error used in finding the test statistic for this test? Answer = ii i. 1.5 ii. 0.5 iii. 0.1667 iv. 0.7071 2. True or False? If we reject the null hypothesis at a significance level of 0.05, then we would also reject the null hypothesis if the significance level were 0.10. Answer = a a. True b. False c. Not enough information 3. For a right tailed test, we got the test statistics Z* = -2.53. What is the p-value for this test statistic? Answer = a a. 0.9943 b. 0.0057 c. 0.0144 d. 1.9886 4. For a right-tailed test, we got a p-value = 0.0449. At the 0.01 significance level, which of the following is the correct conclusion? Answer = d a. Reject Ho b. Accept Ho c. Reject Ha d. Fail to reject Ho 5. True or False? We always reject the null hypothesis if the p-value is less than 0.05. Answer = b a. True b. False c. Not enough information