Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. The population standard deviations are also given below. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Company ACompany BSample Size4340Sample Mean (in $1000)4742Population Standard Deviation (in $1000)1210A point estimate for the difference between the population A mean and the population B mean isThe test statistic is: (round to 4 decimals)The p-value is: (round to 4 decimals)At the 5% level of significance, the conclusion is:

It is given that For company A, sample size n1 = 43, sample mean = 47, population SD = 12 For…

A point estimate for the difference between the population A mean and the population B mean is The test statistic is: (round to 4 decimals) The p-value is: (round to 4 decimals) At the 5% level of significance, the conclusion is:

A point estimate for the difference between the population A mean and the population B mean is The test statistic is: (round to 4 decimals) The p-value is: (round to 4 decimals) At the 5% level of significance, the conclusion is:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. The population standard deviations are also given below. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies.

	Company A	Company B
Sample Size	43	40
Sample Mean (in $1000)	47	42
Population Standard Deviation (in $1000)	12	10

A point estimate for the difference between the population A mean and the population B mean is

The test statistic is: (round to 4 decimals)

The p-value is: (round to 4 decimals)

At the 5% level of significance, the conclusion is:

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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