Capture 9

Alight bulo manufacturer guarantees that the mean life of 3 certain type of light bulb is at least 784 hours. A random sample of 24 light bulbs has 2 mean Iife of 744 hours. Assume the population is normally distributed and the population standard deviation is 85 hours. At @=0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (2). (2) Identify the null hypothesis and alternative hypothesis. Hp:ps744 Hp: p=744 Hp: p#764(claim) Hg: p=744 (claim) Hy: p#744 (claim) Hz:p=764 Hp: 1< 744 (claim) ¥ © Hy:p2784 (claim) Hp:p>764 Hypz744 Hoop<T784 H,: <764 (claim) (b) Identify the critical value(s). Use technology. zg= -2.05 (Use a3 comma to separate answers 3s needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. v Fail to reject H;. Q Failto reject H,. Q Fail to rejsct K, Q Q Reject Hy (c) Identify the standardized test statistic. Use technology. z= =-1.51 (Round fo two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the onginal claim. Reject Hp. There is not sufficient evidence to reject the claim that mean bulb life is at least 764 hours. L4 Fail to reject Hp. There is not sufficient evidence to reject the claim that mean bulb life is at least 764 hours. Reject Hp. There is sufficient evidence to reject the claim that mean bulb life is at least 764 hours. Fail to reject Hp. There is sufficient evidence to reject the claim that mean bulb life is at least 764 hours.