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st the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.01 significance level. (a)  The null and alternative hypothesis would be:  H0:πN=πD H1:πN<πD   H0:πN=πD H1:πN>πD   H0:μN=μD H1:μN≠μD   H0:μN=μD H1:μN>μD   H0:πN=πD H1:πN≠πD   H0:μN=μD H1:μN<μD     (b)  The test is:  right-tailed left-tailed two-tailed   The sample consisted of 20 night students, with a sample mean GPA of 2.81 and a standard deviation of 0.05, and 20 day students, with a sample mean GPA of 2.8 and a standard deviation of 0.08. (c)  The t-score is: (Round to 2 decimal places.) (d)  The p-value is: (Round to 4 decimal places.) (e)  Based on this we: null is plausible strong evidence in support of the alternative

st the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.01 significance level. (a)  The null and alternative hypothesis would be:  H0:πN=πD H1:πN<πD   H0:πN=πD H1:πN>πD   H0:μN=μD H1:μN≠μD   H0:μN=μD H1:μN>μD   H0:πN=πD H1:πN≠πD   H0:μN=μD H1:μN<μD     (b)  The test is:  right-tailed left-tailed two-tailed   The sample consisted of 20 night students, with a sample mean GPA of 2.81 and a standard deviation of 0.05, and 20 day students, with a sample mean GPA of 2.8 and a standard deviation of 0.08. (c)  The t-score is: (Round to 2 decimal places.) (d)  The p-value is: (Round to 4 decimal places.) (e)  Based on this we: null is plausible strong evidence in support of the alternative

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.01 significance level.

(a)  The null and alternative hypothesis would be: 

  • H0:πN=πD


H1:πN<πD

  •  
  • H0:πN=πD


H1:πN>πD

  •  
  • H0:μN=μD


H1:μN≠μD

  •  
  • H0:μN=μD


H1:μN>μD

  •  
  • H0:πN=πD


H1:πN≠πD

  •  
  • H0:μN=μD


H1:μN<μD

  •  

 

(b)  The test is: 

  • right-tailed
  • left-tailed
  • two-tailed

 

The sample consisted of 20 night students, with a sample mean GPA of 2.81 and a standard deviation of 0.05, and 20 day students, with a sample mean GPA of 2.8 and a standard deviation of 0.08.

(c)  The t-score is: (Round to 2 decimal places.)

(d)  The p-value is: (Round to 4 decimal places.)

(e)  Based on this we:

  • null is plausible
  • strong evidence in support of the alternative
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