We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 504. So, we choose a random sample of exam scores. The sample...

We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 504. So, we choose a random sample of exam scores. The sample has a mean of 510 and a standard deviation of 70. 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 of 105, and it is from a non-normally distributed population with a standard deviation of 78 1.z=? 2.t=? 3. It is unclear which test statistic to use. B) The sample has a size 19, and it is normally distributed population with an unknown standard deviation. 1. z=? 2. t=? 3. It is unclear which test statistic to use.