Question: Problems 7 – 9 find the critical value or values and determine the conclusion. The test value is given in the problem so you don’t have to calculate it but show work.

A researcher wishes to test the claim that the average age of lifeguards in Ocean City is less than 24 years. She selects a sample of 36 lifeguards and finds the mean of the sample to be 23.7 years, with a standard deviation of 2.0 years. Is there evidence to support the claim at

Ho: \(\mu \ge 24\) H1: \(\mu <24\)

The test value is z = - 2.10