The owner of a local club has recently surveyed a random sample of 300 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 50. She knows that population standard deviation should be 15 years. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 50.25 years. (a) What is the null hypothesis? (b) What is the alternative hypothesis? (c) What is the test statistic? (d) What is the p-value for the test statistics? (e) What should be the decision of the owner at 5% level of significance