1. Based on a sample of 50 x-values having mean 35.36 and standard deviation 4.26, (a) test at the 0.05 level of significance the null hypothesis H0 the alternative H1 : u #5 34. (b) find a 95% confidence interval for the population mean. (c) determine if the results to part (a) and (b) are mutually consistent. (d) use Minitab to give the p-value for the test in (a). : pl = 34 versus 2. The data set CHS\\NBA.MTP contains a number of variables for guards in the National Basketball Association. (a) For the variable PPG, meaning points per game, test the null hypothesis H0: pm = 11 against the alternative H1: upps #5 11 using the 0.05 level of significance. The data file has n = 105, 37 = 10.70, s = 6.058. (b) Find a 95% confidence interval for um and reconcile your conclusion in (a) with this interval. 3. Suppose that a sample of 200 accounts receivable entries at a large mail-order business had a mean price of $846.20 and a standard deviation of $1,840.80. Give a 95% confidence interval for the population mean. Be sure to state any assumptions that you use. 4. A sample of 612 voters were asked whether they would vote for candidate Wilson in the upcoming election. Of these, 344 said that they intended to vote for Wilson. Is the 344 sample proportion 512 statistically significantly different from 050? Use the 5% level of significance. 5. Suppose that you are asked to test H0: M1 = u; versus H1: M1 #5 it; based on these data: Sample n Average St.Dev. -0.0491 0.0990 1 27 -0-0307 (104% Which form of the test would you use? What conclusion would you reach? The next problem asks for additional calculations with the same numbers