v Suppose that we want to estimate the mean score on a nationwide examination in finance, and for this purpose we choose a random sampl exam scores. The sample we choose has a mean of 480 and a standard deviation of 77 . For each of the following sampling scenarios, determine test statistic is appropriate to use when making inference statements ab mpulatiow. (In the table, 2 refers to a variable having a standard normal distributio refers to a variable having a t distribution.) 2 (1) The sample has size 13, and it is from a normally distributed population with unknown 0 could use Sampling Scenario elther Z or unclear normally distributed population with a known 0 0 standard deviation of 77. (2) The sample has size 12, and it is from a _ standard deviation. t i ' t O O O O (3) The sample has size 100, and it is from a non- I normally distributed population with a known 0 O O 0 standard deviation of 77. O O O O X 63 (4) The sample has size 75, and It is from a non- . . O normally distributed population. (5) The sample has size 15, and it is from a population with a distribution about which we know very little. O O O