I am struggling with this problem:

(8 points) A electronics manufacturer has developed a new type of remote control button that is designed to operate longer before failing to work consistently. A random sample of 15 of the new buttons is selected and each is tested in continuous operation until it fails to work consistently. The resulting lifetimes are found to have a sample mean of 3': = 1263.5 hours and a sample standard deviation of s = 117.6. Independent tests reveal that the mean lifetime of the best remote control button on the market is 1215 hours. Conduct a hypothesis test to determine if the new button's mean lifetime exceeds 1215 hours. Round all calculated answers to four decimal places. 1. The null hypothesis is H0 : u = 1215. What is the alternate hypothesis? mAHA ; ,1 as 1215 6.13.11, ; ,1 > 1263.5 r'wc. HA : u 1215 2. Which of the following conditions must be met to perform this hypothesis test? Select all the correct answers. Q A. The sample must be large enough so that at least 10 buttons fail and 10 succeed. m B. The lifetime of remote control buttons must be normally distributed. l 10. The observations must be independent. l Ti D. The number of remote control buttons tested must be normally distributed. m E. We must be able to expect that at least 5 buttons will fail to work consistently. 3. Calculate the test statistic ? c = 4. Calculate the p-value 5. Calculate the effect size, Cohen's d, for this test. 21 =