Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level. The null and alternative hypothesis would be: H0:pN=pDH0:pN=pD H1:pN≠pDH1:pN≠pD   H0:pN=pDH0:pN=pD H1:pNpDH1:pN>pD   H0:μN=μDH0:μN=μD H1:μN>μDH1:μN>μD   H0:μN=μDH0:μN=μD H1:μN≠μDH1:μN≠μD   H0:μN=μDH0:μN=μD H1:μN<μDH1:μN<μD   The test is: two-tailed right-tailed left-tailed The sample consisted of 70 night students, with a sample mean GPA of 3.4 and a standard deviation of 0.03, and 55 day students, with a sample mean GPA of 3.43 and a standard deviation of 0.07. The test statistic is:  (to 2 decimals) The positive critical value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
 
H0:pN=pDH0:pN=pD
H1:pN<pDH1:pN<pD
 
H0:pN=pDH0:pN=pD
H1:pN>pDH1:pN>pD
 
H0:μN=μDH0:μN=μD
H1:μN>μDH1:μN>μD
 
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
 
H0:μN=μDH0:μN=μD
H1:μN<μDH1:μN<μD
 



The test is:

two-tailed
right-tailed
left-tailed



The sample consisted of 70 night students, with a sample mean GPA of 3.4 and a standard deviation of 0.03, and 55 day students, with a sample mean GPA of 3.43 and a standard deviation of 0.07.

The test statistic is:  (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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