Men have weights that are normally distributed with a mean of 172 lbs and a standard deviation of 29 lbs. What is the probability that 12 randomly selected men will have a mean weight greater than 167 lbs?

Men have weights that are normally distributed with a mean of 172 lbs and a standard deviation of 29 lbs. What is the probability that 12 randomly selected men will have a mean weight greater than 167 lbs?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

How to combine the probabilities of individual events to get the probability of several events occurring together, ie:

A. I used the Rossman/Chance Normal Probability Calculator to determine that the probability of a randomly selected, individual man's weight being above 167 lbs. is 0.5684. So for 12 men would I just raise 0.5684 to the 12th power? --> 0.5684^12 = 0.00114?

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