You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 60 night students, and the sample mean GPA is 2.16 with a standard deviation of 0.79. You sample 20 day students, and the sample mean GPA is 2.09 with a standard deviation of 0.93. 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: H, Test Statistic = =H₂₁ H₁: ₁ Based on the hypotheses, find the following: Critical Values= ± o #v OF H₂ OF (Just enter the positive CV.) Or

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 60 night students, and the sample mean GPA is 2.16 with a standard deviation of
0.79. You sample 20 day students, and the sample mean GPA is 2.09 with a standard deviation of 0.93. 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: ₁
H₁: M₁
Test Statistic =
Critical Values
Based on the hypotheses, find the following:
=
= H₁₂
±
#v
OF H₂
(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 60 night students, and the sample mean GPA is 2.16 with a standard deviation of 0.79. You sample 20 day students, and the sample mean GPA is 2.09 with a standard deviation of 0.93. 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: ₁ H₁: M₁ Test Statistic = Critical Values Based on the hypotheses, find the following: = = H₁₂ ± #v OF H₂ (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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