Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level. The null and alternative hypothesis would be: Ho: PN = PD Ho: N ≤ HD H1:PN PD H₁: N > HD The test is: right-tailed two-tailed left-tailed The test statistic is: Ho: PN PD Ho: N = HD Ho: PNZ PD H₁: PN > PD H₁: NMD H₁: PN < PD The sample consisted of 75 night students, with a sample mean GPA of 2.89 and a standard deviation of 0.08, and 75 day students, with a sample mean GPA of 2.9 and a standard deviation of 0.07. The p-value is: Based on this we: O Reject the null hypothesis Fail to reject the null hypothesis (to 2 decimals) Ho: HN ZHD H₁: UN < HD (to 2 decimals)

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the
0.01 significance level.
The null and alternative hypothesis would be:
PD
Ho: PN
PNPD
H₁: PN PD
The test is:
right-tailed two-tailed
O
Ho: N D Ho: PN PD
≤
H₁N > HD
O
The test statistic is:
The p-value is:
≥
Ho: N = HD Ho: PNPD Ho: UN D
H₁: PN > PD H₁: UND H₁: PN < PD H₁: UN < HD
O
The sample consisted of 75 night students, with a sample mean GPA of 2.89 and a standard deviation of
0.08, and 75 day students, with a sample mean GPA of 2.9 and a standard deviation of 0.07.
(to 2 decimals)
Based on this we:
left-tailed
O
O Reject the null hypothesis
O Fail to reject the null hypothesis
(to 2 decimals)
Transcribed Image Text:Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level. The null and alternative hypothesis would be: PD Ho: PN PNPD H₁: PN PD The test is: right-tailed two-tailed O Ho: N D Ho: PN PD ≤ H₁N > HD O The test statistic is: The p-value is: ≥ Ho: N = HD Ho: PNPD Ho: UN D H₁: PN > PD H₁: UND H₁: PN < PD H₁: UN < HD O The sample consisted of 75 night students, with a sample mean GPA of 2.89 and a standard deviation of 0.08, and 75 day students, with a sample mean GPA of 2.9 and a standard deviation of 0.07. (to 2 decimals) Based on this we: left-tailed O O Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals)
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