You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 24 night students and 20 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 3.7 3.56 2.87 2.97 3.43 2.2 3.62 3 3.31 3.15 3.02 2.92 3.69 3.49 3.45 2.95 3.17 3.03 2.86 3 2.93 3 3.59 2.74 3.13 3.2 3.68 2.7 3.7 3.55 3.29 3.45 2.9 4.13 3.09 2.59 3.11 3.2 3.1 3.32 3.17 3.22 3.37 3.09 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. H0: H1: Based on the hypotheses, find the following: Test Statistic= p-value= The correct decision is to . The correct summary would be: that the mean GPA of night students is different from the mean GPA of day students.
You are testing the claim that the
| GPA-Night | GPA-Day |
|---|---|
| 3.7 | 3.56 |
| 2.87 | 2.97 |
| 3.43 | 2.2 |
| 3.62 | 3 |
| 3.31 | 3.15 |
| 3.02 | 2.92 |
| 3.69 | 3.49 |
| 3.45 | 2.95 |
| 3.17 | 3.03 |
| 2.86 | 3 |
| 2.93 | 3 |
| 3.59 | 2.74 |
| 3.13 | 3.2 |
| 3.68 | 2.7 |
| 3.7 | 3.55 |
| 3.29 | 3.45 |
| 2.9 | 4.13 |
| 3.09 | 2.59 |
| 3.11 | 3.2 |
| 3.1 | 3.32 |
| 3.17 | |
| 3.22 | |
| 3.37 | |
| 3.09 |
What are the correct hypotheses? Note this may view better in full screen
H0:
H1:
Based on the hypotheses, find the following:
Test Statistic=
p-value=
The correct decision is to .
The correct summary would be: that the mean GPA of night students is different from the mean GPA of day students.
Introduction:
Denote μ1, μ2 as the true mean GPA of night students and day students, respectively.
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