Reference no: EM132855175

#1. Students applying to a certain military academy must take a fitness test. One component of the test has applicants compete as many sit-ups as possible in fixed amount of time. Higher numbers of sit-ups are preferred, and the academy calculates the results separately for males and females. Summary of statistics for the sit-ups portion of the fitness test is the following:

Males: Mean of 80, std dev 3.7

Females: Mean of 80, std dev 5.2

Victoria who is a female completed 89 sit-ups and Manny who is a male completed 96 sit-ups

a.) Find the z score that corresponds to each value for Male and Female

b.) Relative to their gender, who completed more sit-up

c.) Determine whether any of the values are unusual

#2. The amount of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 7.4 years and a std deviation of 4.9 years. Random samples of size 81 are drawn from the population and the mean of each sample is determined. Use the Central Limit Theorem to find the mean and std. deviation of the sampling distribution of sample means described