You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 26 night students and 21 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 3.36 3.67 3.7 3.13 3.28 3.15 3.28 3.45 3.21 3.44 3.73 3.22 3.22 3.58 2.85 2.94 3.6 3.52 2.77 3.61 3.12 3.4 3.36 3.2 3.38 3.62 3.12 3.31 3.23 3.01 3.43 3.27 3.51 3.46 3.63 3.47 3 2.79 3.07 3.02 3.16 2.88 p-value- 3.1 2.43 3.3 3.32 3.76 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: ₁ H₁: Based on the hypotheses, find the following: Test Statistic μ 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. that the mean GPA

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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. A sample of 26 night students and 21 day students and their GPA's are recorded below. Test the
claim using a 10% level of significance. Assume the population variances are unequal and that GPAs are
normally distributed. Give answers to 4 decimal places.
GPA-Night GPA-Day
3.36
3.12
3.67
3.31
3.7
3.23
3.13
3.01
3.28
3.15
3.28
3.45
3.21
3.44
3.73
3.22
3.22
3.58
2.85
2.94
3.6
3.52
2.77
3.61
3.12
3.4
3.36
3.2
3.38
3.62
H₁: ₁
What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols
in the order they appear in the problem.
Ho: ₁
3.43
3.27
3.51
3.46
3.63
3.47
3
2.79
3.07
3.02
3.16
2.88
3.1
2.43
3.3
3.32
3.76
Test Statistic-
Based on the hypotheses, find the following:
p-value-
O μ₂
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. A sample of 26 night students and 21 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 3.36 3.12 3.67 3.31 3.7 3.23 3.13 3.01 3.28 3.15 3.28 3.45 3.21 3.44 3.73 3.22 3.22 3.58 2.85 2.94 3.6 3.52 2.77 3.61 3.12 3.4 3.36 3.2 3.38 3.62 H₁: ₁ What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: ₁ 3.43 3.27 3.51 3.46 3.63 3.47 3 2.79 3.07 3.02 3.16 2.88 3.1 2.43 3.3 3.32 3.76 Test Statistic- Based on the hypotheses, find the following: p-value- O μ₂ 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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