find 95% confidence interval for each major:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Question
100%
Find 95% confidence interval
![The U.S. Bureau of Prisons publishes data in Statistical Report on the times served by prisoners
released from federal institutions for the first time. Independent random samples of released
prisoners for five different offense categories yielded the following information on time served, in
months.
Major
Counterfeiting
Drug Laws
Firearms
Forgery
Fraud
Source
Treatment
15
17
12
10
11
df
4
60
64
yi
14.5
18.4
18.2
15.6
11.5
At the 1% significance level, do the data provide sufficient evidence to conclude that a difference
exists in mean time served by prisoners among the five offense groups?
4.5
3.8
4.5
3.6
4.7
SS
412.9086
1,074.83
Error
Total
1,487.7386
find 95% confidence interval for each major:
MS = SS/df F-statistic
5.7656
103.22715
17.91383
p-value
p-value < 0.001](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0ec3fd5-5597-42ac-85a2-67291804c52d%2F8cbb07ea-5336-406e-a8ce-7e98f59a2efe%2Fg80u2xx_processed.png&w=3840&q=75)
Transcribed Image Text:The U.S. Bureau of Prisons publishes data in Statistical Report on the times served by prisoners
released from federal institutions for the first time. Independent random samples of released
prisoners for five different offense categories yielded the following information on time served, in
months.
Major
Counterfeiting
Drug Laws
Firearms
Forgery
Fraud
Source
Treatment
15
17
12
10
11
df
4
60
64
yi
14.5
18.4
18.2
15.6
11.5
At the 1% significance level, do the data provide sufficient evidence to conclude that a difference
exists in mean time served by prisoners among the five offense groups?
4.5
3.8
4.5
3.6
4.7
SS
412.9086
1,074.83
Error
Total
1,487.7386
find 95% confidence interval for each major:
MS = SS/df F-statistic
5.7656
103.22715
17.91383
p-value
p-value < 0.001
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