A random sample of 33 professional baseball salaries from 1985 through 2015 was selected. The league of the player (American or National) was also recorded. Salary (in thousands of dollars) and league are shown in the accompanying table. Test the hypothesis that there is a difference in the mean salary of players in each league. ASsume the distributions are Normal enough to use the t-test. Use a significance level of 0.05. E Click the icon view the data table. Find the test statistic for this test. (Round to two decimal places as needed.) Find the p-value for this test. p-value (Round to three decimal places as needed.) What is the conclusion for this test? O A. Reject Ho- The difference in the mean salary of players n each league are significantly different. O B. Do not reject Ho. The difference in the mean salary of players in each league are not significantly different. OC. Reject Ho. The difference in the mean salary of players in each league are not significantly different. O D. Do not reject Ho. The difference in the mean salary of players in each league are significantly different.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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A random sample of 33 professional baseball salaries from 1985 through 2015 was selected. The league of the player​ (American or​ National) was also recorded. Salary​ (in thousands of​ dollars) and league are shown in the accompanying table. Test the hypothesis that there is a difference in the mean salary of players in each league. Assume the distributions are Normal enough to use the​ t-test. Use a significance level of 0.05.

Find the test statistic for this test.

Find the​ p-value for this test.

What is the conclusion for this​ test?

A random sample of 33 professional baseball salaries from 1985 through 2015 was selected. The league of the player (American or National) was also recorded. Salary (in thousands of dollars) and league are shown in the accompanying
table. Test the hypothesis that there is a difference in the mean salary of players in each league. Assume the distributions are Normal enough to use the t-test. Use a significance level of 0.05.
E Click the icon to view the data table.
Find the test statistic for this test.
t =
(Round to two decimal places as needed.)
Find the p-value for this test.
p-value =
(Round to three decimal places as needed.)
What is the conclusion for this test?
O A. Reject Hn. The difference in the mean salary of players in each league are significantly different.
O B. Do not reject Ho- The difference in the mean salary of players in each league are not significantly different.
O C. Reject Ho. The difference in the mean salary of players in each league are not significantly different.
O D. Do not reject Ho. The difference in the mean salary of players in each league are significantly different.
Transcribed Image Text:A random sample of 33 professional baseball salaries from 1985 through 2015 was selected. The league of the player (American or National) was also recorded. Salary (in thousands of dollars) and league are shown in the accompanying table. Test the hypothesis that there is a difference in the mean salary of players in each league. Assume the distributions are Normal enough to use the t-test. Use a significance level of 0.05. E Click the icon to view the data table. Find the test statistic for this test. t = (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this test? O A. Reject Hn. The difference in the mean salary of players in each league are significantly different. O B. Do not reject Ho- The difference in the mean salary of players in each league are not significantly different. O C. Reject Ho. The difference in the mean salary of players in each league are not significantly different. O D. Do not reject Ho. The difference in the mean salary of players in each league are significantly different.
Data Table
League
Salary
League
American
Salary
National
250
520
American
National
610
National
295
60
National
255
American
425
National
325
American
American
150
National
745
262.5
National
850
American
600
National
700
National
60
American
845.8
National
155
National
825
American
1087.5
National
541.7
National
416.7
National
350
National
National
155
American
283.1
291.7
American
220
American
608.3
National
1350
American
900
American
100
National
796.4
American
207.5
National
60
Transcribed Image Text:Data Table League Salary League American Salary National 250 520 American National 610 National 295 60 National 255 American 425 National 325 American American 150 National 745 262.5 National 850 American 600 National 700 National 60 American 845.8 National 155 National 825 American 1087.5 National 541.7 National 416.7 National 350 National National 155 American 283.1 291.7 American 220 American 608.3 National 1350 American 900 American 100 National 796.4 American 207.5 National 60
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