We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in anthropology is different from 469. So, we choose a random sample of exam scores. The sample has a mean of 482 and a standard deviation of 78.

For each of the following sample scenarios, choose an appropriate test statistic for our hypothesis test on the population mean.

Calculate that statistic.

Round answer to 2 decimal places

a). The sample has size 14, and it is from a normally distributed with an unknown standard deviation.

z=

t=

b). The sample has size 90, and is from a non normally distributed population with a known standard deviation of 78.

z=

t=