Show your calculation in detail explaining each step. Make sure to show the critical value and the statistical table, which points to the value you used for the answer as well as other values to have come to an answer.

1. A researcher wishes to test the claim that the average age of lifeguards in Ocean City is greater than 24 years. She selects a sample of 36 guards and finds the mean of the sample to be 24.7 years, with a standard deviation of 2 years. Is there evidence to support the claim at = 0.05? Use P-value method. (Answer: Reject H0)
2. Do we use t-distribution or z-distribution graphs for P-value method? State conditions to use each