We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store in more than 467 dollars. So, we record the daily profit for a random sample of days. The...

We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store in more than 467 dollars. So, we record the daily profit for a random sample of days. The sample has a mean of 482 dollars and a standard deviation of 80 dollars.

For each of the following sampling scenarios, choose an appropriate test statistic for the hypothesis test on the population mean. Then calculate that statistic. Round answer to 2 decimal places.

(a) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation. z=   t=     or it is unclear which test statistic to use.

(b) The sample has size 95, and it is from a non-normally distributed population with a known standard deviation of 76.  z=   t=    or it is unclear which test statistic to use.