MTH-111-v1 Test 4 NAME: Part 1: Hypothesis Testing: For each of the following, please show the following to receive full credit. (Answers without these steps will not be given credit) (a) Draw a curve and label each part to reflect a left, right, or two tailed test (b) Claim: Show in symbols Ho, Ha (c) Critical value- find the zo or to values (d) What are the standardized test statistic z or t, and the P values from the calculator? (e) Comparing the critical values, o value, against the calculator results, state whether you reject, or fail to reject the null hypothesis (f) Interpret the decision in the context of the original claim. 1. A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135.F. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133F. Assume the population standard deviation is 3.3 F. At a =0.10, do you have enough evidence to reject the manufacturer's claim? 2. Claim: H =40; & = 0.05; o = 1.97. Sample statistics: x = 39.2, n = 25. Assume the population is normally distributed. 3. A company claims that the mean battery life of their MP3 player is at least 30 hours. You suspect this claim is incorrect and find that a random sample of 18 MP3 players has a mean battery life of 28.5 hours and a standard deviation of 1.7 hours. Is there enough evidence to reject the claim at a = 0.01