Preliminary data analyses indicate that the assumptions for using pooled t-procedures are satisfied. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on time served, in months. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time served for fraud is less than that for firearms offenses? (Note: x, = 11.89, s, = 4.22, x, = 19.54, and s, =5.44.) E Click the icon to view the data table showing the time served for each offense. Let u, be the mean time served for fraud u, the mean time served for firearms offenses. What are the correct hypotheses to test? O A. Ho: H1 =H2 O B. Ho: H1 2 Data table Hai H1 # H2 Ha: H1 = H2 OC. Ho: H1> H2 OD. Ho: H1 = H2 Firearms D Fraud 15.5 16.8 18.7 25.8 10.2 25.3 21.1 12.9 11.4 20.6 12.7 14.7 17.7 22.4 24.5 6.4 O E. Ho: H1 =H2 OF. Ho: H1
Preliminary data analyses indicate that the assumptions for using pooled t-procedures are satisfied. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on time served, in months. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time served for fraud is less than that for firearms offenses? (Note: x, = 11.89, s, = 4.22, x, = 19.54, and s, =5.44.) E Click the icon to view the data table showing the time served for each offense. Let u, be the mean time served for fraud u, the mean time served for firearms offenses. What are the correct hypotheses to test? O A. Ho: H1 =H2 O B. Ho: H1 2 Data table Hai H1 # H2 Ha: H1 = H2 OC. Ho: H1> H2 OD. Ho: H1 = H2 Firearms D Fraud 15.5 16.8 18.7 25.8 10.2 25.3 21.1 12.9 11.4 20.6 12.7 14.7 17.7 22.4 24.5 6.4 O E. Ho: H1 =H2 OF. Ho: H1
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
Transcribed Image Text:Preliminary data analyses indicate that the assumptions for using pooled t-procedures are satisfied. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on time
served, in months. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time served for fraud is less than that for firearms offenses?
(Note: x, = 11.89, s, = 4.22, x, = 19.54, and s, = 5.44.)
E Click the icon to view the data table showing the time served for each offense.
.....
Let
be the mean time served for fraud µ, the mean time served for firearms offenses. What are the correct hypotheses to test?
O A. Ho: H1 =H2
B. Ho: H1 7H2
Data table
Ha: H1 # H2
Ha: H1 = H2
C. Ho: H1 > H2
O D. Ho: H1= H2
Firearms
Fraud
Ha: H1 = H2
Ha: H1 <H2
15.5 16.8 18.7 25.8
6.4 10.2 25.3 21.1
E. Ho: H1 = H2
F. Ho: H1<H2
12.3
6.4
12.9
11.4
Ha: H1>H2
Ha: H1 = H2
7.7
11.2 20.6 12.7
14.7 17.7 22.4 24.5
Compute the test statistic.
t=
(Round to three decimal places as needed.)
Determine the P-value.
Print
Done
P =
(Round to four decimal places as needed.)
What is the conclusion of the hypothesis test?
Since the P-value is
than a,
Ho. Conclude that the data
sufficient evidence that the mean time served for fraud is less than that for firearms offenses.
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