Suppose that we want to estimate the mean score on a nationwideexamination in finance, and for this purpose we choose arandom sample of exam scores. The samplewe choose has a mean of 516 and a standard deviation of 71 .For each of the following sampling scenarios, determine which teststatistic is appropriate to use when making inference statements aboutthe population mean.

In the table, Zrefers to a variable having astandard normal distribution,and refers to a variable having at distribution.)

For each question choose between the answers: Z, t, could use either Z or t, or unclear.

1) The sample has size 80, and it is from a non-normally distributed population with a known standard deviation:

2) The sample has size16, and it is from a normally distributed population with unknown standard deviation:

3) The sample has size 10, and it is normally distributed population with a known standard deviation of 76:

4) The sample has size 15, and it is from a population with a distribution about which we know very little:

5) The sample has size 95, and it is from a non-normally distributed population: