We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 476. So, we choose a random sample of exam scores. The sample has a mean of 491 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 15, and it is from a normally distributed population with an unknown standard deviation. 0 O= = O It is unclear which test statistic to use. ? (b) The sample has size 19, and it is from a normally distributed population with a known standard deviation of 76. O := O It is unclear which test statistic to use.

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