The president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean SAT score is lower than previous years. He took a sample of 20 of this year's entering students and found that their mean SAT score is 1,501 with a standard deviation of 53. The university's record indicates that the mean SAT score for entering students from previous years is 1,520. He wants to find out if his claim is supported by the evidence at a 5% level of significance. a. state the null and alternative hypotheses for this study. b. what critical value should the president use to determine the rejection region? c. what is the value of the test statistic? d. what is the p value of the test? e. what is your conclusion?

Consider the following potential events that might have occurred to global on december​ 30, 2016. for each​ one, indicate which line items in​ global's balance sheet would be affected and by how much. also indicate the change to​ global's book value of equity. a. global used $ 19.8$19.8 million of its available cash to repay $ 19.8$19.8 million of its​ long-term debt. b. a warehouse fire destroyed $ 4.9$4.9 million worth of uninsured inventory. c. global used $ 4.6$4.6 million in cash and $ 5.1$5.1 million in new​ long-term debt to purchase a $ 9.7$9.7 million building. d. a large customer owing $ 3.2$3.2 million for products it already received declared​ bankruptcy, leaving no possibility that global would ever receive payment. e. ​global's engineers discover a new manufacturing process that will cut the cost of its flagship product by more than 48 %48%. f. a key competitor announces a radical new pricing policy that will drastically undercut​ global's prices.