tudents. You sample 35 night students, and the sample mean GPA is 2.91 with a stan .97. You sample 20 day students, and the sample mean GPA is 2.99 with a standard he claim using a 1% level of significance. Assume the population standard deviations PAS are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses? lo: P₁ = P₂₁ 11: P₂ ased on the hypotheses, find the following: o #v OF H₂

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You are testing the claim that the mean GPA of night students is different from the mean GPA of day
students. You sample 35 night students, and the sample mean GPA is 2.91 with a standard deviation of
0.97. You sample 20 day students, and the sample mean GPA is 2.99 with a standard deviation of 0.82. Test
the claim using a 1% level of significance. Assume the population standard deviations are unequal and that
GPAS are normally distributed. Give answer to at least 4 decimal places.
What are the correct hypotheses?
Ho: M₁
H₁: M₁
Test Statistic =
Critical Values =
=
±
H₁₂
Based on the hypotheses, find the following:
≠v
H₂
OF
(Just enter the positive CV.)
The correct decision is to Fail to reject the null hypothesis
The correct summary would be: There is not enough evidence to support the claim ✓
of night students is different from the mean GPA of day students.
o that the mean GPA
Transcribed Image Text:You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 35 night students, and the sample mean GPA is 2.91 with a standard deviation of 0.97. You sample 20 day students, and the sample mean GPA is 2.99 with a standard deviation of 0.82. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAS are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses? Ho: M₁ H₁: M₁ Test Statistic = Critical Values = = ± H₁₂ Based on the hypotheses, find the following: ≠v H₂ OF (Just enter the positive CV.) The correct decision is to Fail to reject the null hypothesis The correct summary would be: There is not enough evidence to support the claim ✓ of night students is different from the mean GPA of day students. o that the mean GPA
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