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 accompanyingtable. 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 TableLeagueSalaryLeagueAmericanSalaryNational250520AmericanNational610National29560National255American425National325AmericanAmerican150National745262.5National850American600National700National60American845.8National155National825American1087.5National541.7National416.7National350NationalNational155American283.1291.7American220American608.3National1350American900American100National796.4American207.5National60

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Answered: A random sample of 33 professional…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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