You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:u= 81.6 Ha:u + 81.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 86.6 83.3 100.9 82.4 80.4 85 69.1 79.8 79.3 75.3 88.5 76.3 79.8 75.5 76.5 80 65.9 94.9 73.9 72 73.3 77.5 97 84.5 84.5 82.9 80.9 70.5 83.8 76.3 78.4 94.1 94.9 88.8 94.1 91.2 76.5 88.1 94.1 71.7 82.9 87.8 80 86.6 92.8 81.1 80.9 91.2 80.2 84 88.5 88.5 72.4 83.8 70.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

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You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.001 \).

\( H_0: \mu = 81.6 \)  
\( H_a: \mu \neq 81.6 \)

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

|       | Column A | Column B | Column C | Column D | Column E |
|-------|----------|----------|----------|----------|----------|
| **1** | 86.6     | 83.3     | 100.9    | 82.4     | 80.4     |
| **2** | 85       | 69.1     | 79.8     | 79.3     | 75.3     |
| **3** | 88.5     | 76.3     | 79.8     | 75.5     | 76.5     |
| **4** | 80       | 65.9     | 94.9     | 73.9     | 72       |
| **5** | 73.3     | 77.5     | 97       | 84.5     | 84.5     |
| **6** | 82.9     | 80.9     | 70.5     | 83.8     | 76.3     |
| **7** | 78.4     | 94.1     | 94.9     | 88.8     | 94.1     |
| **8** | 91.2     | 76.5     | 88.1     | 94.1     | 71.7     |
| **9** | 82.9     | 87.8     | 86.6     | 86.6     | 92.8     |
| **10**| 81.1     | 80.9     | 91.2     | 80.2     | 84       |
| **11**| 88.5     | 88.5     | 72.4     | 83.8     | 70.1     |

What is the test statistic for this sample? (Report answer
Transcribed Image Text:You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.001 \). \( H_0: \mu = 81.6 \) \( H_a: \mu \neq 81.6 \) You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: | | Column A | Column B | Column C | Column D | Column E | |-------|----------|----------|----------|----------|----------| | **1** | 86.6 | 83.3 | 100.9 | 82.4 | 80.4 | | **2** | 85 | 69.1 | 79.8 | 79.3 | 75.3 | | **3** | 88.5 | 76.3 | 79.8 | 75.5 | 76.5 | | **4** | 80 | 65.9 | 94.9 | 73.9 | 72 | | **5** | 73.3 | 77.5 | 97 | 84.5 | 84.5 | | **6** | 82.9 | 80.9 | 70.5 | 83.8 | 76.3 | | **7** | 78.4 | 94.1 | 94.9 | 88.8 | 94.1 | | **8** | 91.2 | 76.5 | 88.1 | 94.1 | 71.7 | | **9** | 82.9 | 87.8 | 86.6 | 86.6 | 92.8 | | **10**| 81.1 | 80.9 | 91.2 | 80.2 | 84 | | **11**| 88.5 | 88.5 | 72.4 | 83.8 | 70.1 | What is the test statistic for this sample? (Report answer
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