We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store is more than 451 dollars. So, we record the daily profit for a random sample of days. The sample has a mean of 452 dollars and a standard deviation of 79 dollars. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 10, and it is from a normally distributed population with an unknown standard deviation. O It is unclear which test statistic to use. X 5 ? (b) The sample has size 80, and it is from a non-normally distributed population with a known standard deviation of 75. O = =[ O It is unclear which test statistic to use.The standard deviation of test scores on a certain achievement test is 11. A random sample of 60 scores on this test had a mean of 73.8. Based on this sample, find a 95% confidence interval for the true mean of all scores. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: X ? Upper limit