A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01 Assume the populations are approximately normally distributed with unequal variances. Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Minneapolis Cleveland 70.1 66.1 69.5 65.9 65.7 61 71.7 62.8 62 67.9 75.3 74.5 63.2 69.1 62 72.5 76.9 80.4 71.3 72.7 70.9 70.4 70.5 76.6 65.1 62.2 76.2 66.1 70.3 86 69.5 81 80.2 68.3 74.3 63.3 70.7 64.6 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.) HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value = The p-value is____________ The correct decision is to_________________ . The correct summary would be: ______________ the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland.
A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table.
Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01
Assume the populations are approximately
Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs.
| Minneapolis | Cleveland |
|---|---|
| 70.1 | 66.1 |
| 69.5 | 65.9 |
| 65.7 | 61 |
| 71.7 | 62.8 |
| 62 | 67.9 |
| 75.3 | 74.5 |
| 63.2 | 69.1 |
| 62 | 72.5 |
| 76.9 | 80.4 |
| 71.3 | 72.7 |
| 70.9 | 70.4 |
| 70.5 | 76.6 |
| 65.1 | 62.2 |
| 76.2 | 66.1 |
| 70.3 | 86 |
| 69.5 | 81 |
| 80.2 | 68.3 |
| 74.3 | 63.3 |
| 70.7 | |
| 64.6 |
The Null Hypotheses is: H0: μ1 - μ2 = 0
What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen
HA: μ1 - μ2
Based on these hypotheses, find the following. Round answers to 4 decimal places.
Test Statistic =
p-value =
The p-value is____________
The correct decision is to_________________ .
The correct summary would be: ______________ the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland.
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