Question 19

0 out of 5 points

A random sample of 10 college students was drawn from a large

university. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years,

with a sample standard deviation of 3.2. Suppose that you want to test whether the population mean age differs

from 20. Conduct this hypothesis test at the 1% significance level. To receive full credit you must show your work.

1. null and alternative hypothesis
2. description of the test statistic formula (can reference location on the formula sheet)
3. location of the rejection region (where on the diagram), distribution (Z versus t with degrees of freedom), critical value or values
4. calculation of the test statistic (must show some calculation work showing numbers plugged into formula)
5. full conclusion as shown in the example videos including the p-value.