1. In a study of annual salaries of employees, random samples were selected from two companies to test if there is a difference in average salaries. For Company "X", the sample was size 65, the sample mean was $47,000 and the population standard deviation is assumed to be $11,000. For Company "Y"; the sample size was 55, the sample mean was $44,000 and the population standard deviation is assumed to be $10,000. Test fora difference in average salaries at a 5% level of significance, what is your conclusion? poll was taken this year asking college students if they considered themselves overweight. A similar pol as taken 5 years ago. Five years ago, a sample of 270 students showed that 120 considered themselves overweight. This year a poll of 300 students showed that 140 co nsidered themselves overweight. At a 5% level of significance, test to see if there is any difference in the proportion of college students who consider themselves overweight between the two polls. What is your conclusion? 3. The Acme Company manufactures large capacity Flash drives using two different manufacturing processes The company is interested in determining if there is a significant difference in the average manufacturing time of the two processes. For Process #1, a sample of 28 items shows a sample mean of 9 minutes and a sample standard deviation of 3.5 minutes. For Process #2, a sample of 23 items shows a sample mean of 13 minutes and a sample standard deviation of 4.5 minutes. At a 5% level of significance, Test the claim of no difference in the average time for the two processes. What is your conclusion?
1. In a study of annual salaries of employees, random samples were selected from two companies to test if there is a difference in average salaries. For Company "X", the sample was size 65, the sample mean was $47,000 and the population standard deviation is assumed to be $11,000. For Company "Y"; the sample size was 55, the sample mean was $44,000 and the population standard deviation is assumed to be $10,000. Test fora difference in average salaries at a 5% level of significance, what is your conclusion? poll was taken this year asking college students if they considered themselves overweight. A similar pol as taken 5 years ago. Five years ago, a sample of 270 students showed that 120 considered themselves overweight. This year a poll of 300 students showed that 140 co nsidered themselves overweight. At a 5% level of significance, test to see if there is any difference in the proportion of college students who consider themselves overweight between the two polls. What is your conclusion? 3. The Acme Company manufactures large capacity Flash drives using two different manufacturing processes The company is interested in determining if there is a significant difference in the average manufacturing time of the two processes. For Process #1, a sample of 28 items shows a sample mean of 9 minutes and a sample standard deviation of 3.5 minutes. For Process #2, a sample of 23 items shows a sample mean of 13 minutes and a sample standard deviation of 4.5 minutes. At a 5% level of significance, Test the claim of no difference in the average time for the two processes. What is your conclusion?
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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Transcribed Image Text:1. In a study of annual salaries of employees, random samples were selected from two companies to test if there
is a difference in average salaries. For Company "X", the sample was size 65, the sample mean was $47,000 and
the population standard deviation is assumed to be $11,000. For Company "Y"; the sample size was 55, the
sample mean was $44,000 and the population standard deviation is assumed to be $10,000. Test fora
difference in average salaries at a 5% level of significance, what is your conclusion?
poll was taken this year asking college students if they considered themselves overweight. A similar pol
as taken 5 years ago. Five years ago, a sample of 270 students showed that 120 considered themselves
overweight. This year a poll of 300 students showed that 140 co
nsidered themselves overweight. At a 5% level
of significance,
test to see if there is any difference in the proportion of college students who consider
themselves overweight between the two polls. What is your conclusion?
3. The Acme Company manufactures large capacity Flash drives using two different manufacturing processes
The company is interested in determining if there is a significant difference in the average manufacturing time of
the two processes. For Process #1, a sample of 28 items shows a sample mean of 9 minutes and a sample
standard deviation of 3.5 minutes. For Process #2, a sample of 23 items shows a sample mean of 13 minutes
and a sample standard deviation of 4.5 minutes. At a 5% level of significance, Test the claim of no difference in
the average time for the two processes. What is your conclusion?
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