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. League Salary National 85 American 565 National 135 American 1065 American 687.5 American 679.2 American 60 National 170 National 275 American 215 National 355 National 630 National 355 American 510 American 480 National 500 National 900 American 950 National 865 National 197 National 462.5 National 709.7 National 375 National 750 American 365 National 1030 National 160 National 457.5 American 560 American 290 National 562.5 American 100 American 1000 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?
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. League Salary National 85 American 565 National 135 American 1065 American 687.5 American 679.2 American 60 National 170 National 275 American 215 National 355 National 630 National 355 American 510 American 480 National 500 National 900 American 950 National 865 National 197 National 462.5 National 709.7 National 375 National 750 American 365 National 1030 National 160 National 457.5 American 560 American 290 National 562.5 American 100 American 1000 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?
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
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.
| League | Salary |
| National | 85 |
| American | 565 |
| National | 135 |
| American | 1065 |
| American | 687.5 |
| American | 679.2 |
| American | 60 |
| National | 170 |
| National | 275 |
| American | 215 |
| National | 355 |
| National | 630 |
| National | 355 |
| American | 510 |
| American | 480 |
| National | 500 |
| National | 900 |
| American | 950 |
| National | 865 |
| National | 197 |
| National | 462.5 |
| National | 709.7 |
| National | 375 |
| National | 750 |
| American | 365 |
| National | 1030 |
| National | 160 |
| National | 457.5 |
| American | 560 |
| American | 290 |
| National | 562.5 |
| American | 100 |
| American | 1000 |
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?
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.
...
t = (Round to two decimal places as needed.)
Find the p-value for this test.
= (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 in each league are not significantly different.
O B. Reject Hn. The difference in the mean salary of players in each league are significantly different.
O c. Do not reject Ho. The difference in the mean salary of players in each league are significantly different.
O D. Do not reiect Hn. The difference in the mean salarv of plavers in each leaaue are not sianificantlv different.
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