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A sports reporter suggests that professional baseball players must​ be, on​ average, older than professional football​ players, since football is a contact sport. Researchers selected 35professional football players and 33 professional baseball players at random. The data collected are summarized by the accompanying table. Suppose the researchers decide to test the hypothesis. The degrees of freedom formula gives 56.20 df. Test the null hypothesis at α=0.01.   Baseball Football     n 33 35   y 26.87 25.43   s 3.9 2.67                                   Let μ1be the mean age of professional baseball players and let μ2 be the mean age of professional football players. Identify the null and alternative hypotheses. Choose the correct answer below.   A. H0​: μ1−μ2=0 HA​: μ1−μ2≠0   B. H0​: μ1−μ2=0 HA​: μ1−μ2<0   C. H0​: μ1−μ2≠0 HA​: μ1−μ2=0   D. H0​: μ1−μ2=0 HA​: μ1−μ2>0 Part 2 Compute the test statistic.   t=enter your response here ​(Round to two decimal places as​ needed.) Part 3 Find the​ P-value. The​ P-value is: enter your response here. ​(Round to three decimal places as​ needed.) Part 4 State the conclusion. Choose the correct answer below.   A. Reject the null hypothesis. There is sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.   B. Reject the null hypothesis. There is not sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.   C. Fail to reject the null hypothesis. There is sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.   D. Fail to reject the null hypothesis. There is not sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.

A sports reporter suggests that professional baseball players must​ be, on​ average, older than professional football​ players, since football is a contact sport. Researchers selected 35professional football players and 33 professional baseball players at random. The data collected are summarized by the accompanying table. Suppose the researchers decide to test the hypothesis. The degrees of freedom formula gives 56.20 df. Test the null hypothesis at α=0.01.   Baseball Football     n 33 35   y 26.87 25.43   s 3.9 2.67                                   Let μ1be the mean age of professional baseball players and let μ2 be the mean age of professional football players. Identify the null and alternative hypotheses. Choose the correct answer below.   A. H0​: μ1−μ2=0 HA​: μ1−μ2≠0   B. H0​: μ1−μ2=0 HA​: μ1−μ2<0   C. H0​: μ1−μ2≠0 HA​: μ1−μ2=0   D. H0​: μ1−μ2=0 HA​: μ1−μ2>0 Part 2 Compute the test statistic.   t=enter your response here ​(Round to two decimal places as​ needed.) Part 3 Find the​ P-value. The​ P-value is: enter your response here. ​(Round to three decimal places as​ needed.) Part 4 State the conclusion. Choose the correct answer below.   A. Reject the null hypothesis. There is sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.   B. Reject the null hypothesis. There is not sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.   C. Fail to reject the null hypothesis. There is sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.   D. Fail to reject the null hypothesis. There is not sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.

MATLAB: An Introduction with Applications
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 sports reporter suggests that professional baseball players must​ be, on​ average, older than professional football​ players, since football is a contact sport. Researchers selected 35professional football players and 33 professional baseball players at random. The data collected are summarized by the accompanying table. Suppose the researchers decide to test the hypothesis. The degrees of freedom formula gives 56.20 df. Test the null hypothesis at α=0.01.
 
Baseball
Football
  
 
n
33
35
 
y
26.87
25.43
 
s
3.9
2.67
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Let μ1be the mean age of professional baseball players and let μ2 be the mean age of professional football players. Identify the null and alternative hypotheses. Choose the correct answer below.
 
A. H0​: μ1−μ2=0 HA​: μ1−μ2≠0
 
B. H0​: μ1−μ2=0 HA​: μ1−μ2<0
 
C. H0​: μ1−μ2≠0 HA​: μ1−μ2=0
 
D. H0​: μ1−μ2=0 HA​: μ1−μ2>0
Part 2
Compute the test statistic.
 
t=enter your response here ​(Round to two decimal places as​ needed.)
Part 3
Find the​ P-value.
The​ P-value is: enter your response here. ​(Round to three decimal places as​ needed.)
Part 4
State the conclusion. Choose the correct answer below.
 
A. Reject the null hypothesis. There is sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.
 
B. Reject the null hypothesis. There is not sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.
 
C. Fail to reject the null hypothesis. There is sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.
 
D. Fail to reject the null hypothesis. There is not sufficient evidence that professional baseball players​ are, on​ average, older than professional football players.

 
 
 
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