In a study that compared average time taken by a men and women to do a certain job, a random sample of 13 men and 13 women at a large industrial complex was taken and the following results were obtained. Men Women ?̅ = 54 ??????? ?̅ = 42 ??????? ? = 6 ??????? ? = 8 ??????? Can we conclude that at 0.01 level that women do the job on average 10 minutes earlier than men? Assume the populations to be normally distributed with equal variances.

In a study that compared average time taken by a men and women to do a certain job, a random sample of 13 men and 13 women at a large industrial complex was taken and the following results were obtained. Men Women ?̅ = 54 ??????? ?̅ = 42 ??????? ? = 6 ??????? ? = 8 ??????? Can we conclude that at 0.01 level that women do the job on average 10 minutes earlier than men? Assume the populations to be normally distributed with equal variances.

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Description: In a study that compared average time taken by a men and women to do a certain job, a random sample of 13 men and 13 women at a large industrial complex was taken and the following results were obtained.MenWomen?̅ = 54 ????????̅ = 42 ???????? = 6 ???

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

Men	Women
?̅ = 54 ???????	?̅ = 42 ???????
? = 6 ???????	? = 8 ???????

Can we conclude that at 0.01 level that women do the job on average 10 minutes earlier than men? Assume the populations to be normally distributed with equal variances.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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