Explore BrainMass

Probability of sample mean and range

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.5 hrs per week playing organized sports. The population's standard deviation is 2.2 hrs per week. Based on a sample of 121 students, healthy lifestyles Inc. (HLI) would like to apply the central limit theorem to make various estimates.

A.) Calculate the probability that the sample mean will be between 5.3 and 5.7 hrs
B.) How strange would it be to obtain a sample mean greater than 6.5 hrs?

© BrainMass Inc. brainmass.com March 21, 2019, 10:26 pm ad1c9bdddf

Solution Summary

This solution is comprised of detailed explanation and step-by-step calculation of the given problem and provides students with a clear perspective of the underlying concepts.