Question: Question 9 (1 point) Consider the dataset below. It includes two samples. Please conduct a 90% significance test for the equality of the two population
Question 9 (1 point)

Consider the dataset below. It includes two samples. Please conduct a 90% significance test for the equality of the two population variances.
| Sample 1 | Sample 2 |
| 38 | 41 |
| 39 | 35 |
| 36 | 38 |
| 33 | 42 |
| 38 | 39 |
| 37 | 40 |
| 35 | |
| 37 |
Question 9 options:
| The test rejects the null hypothesis that the two populations have equal variances | |
| The test fails to reject the null hypothesis that the two populations have equal variances | |
| None of the above |
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Question 10 (1 point)

Consider a scenario in which we decide to compare the price of our textbook on eBay versus in the University bookstore. For that purpose, we collect 8 observations of sold used copies of the book on eBay. The average price on eBay is $60. We also compute the sample standard deviation of $20. The price at the University bookstore is $75 for a used copy.
Please construct a 95% significance test for the hypothesis that the average price of the used book on eBay is LESS THAN OR EQUAL TO $75 and state the results of the test here.
Question 10 options:
| The test fails to reject the null that the price on eBay is less than or equal to $75 | |
| The test rejects the null that the price on eBay is less than or equal to $75 | |
| Not enough information to construct such a test |
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Question 11 (1 point)

Which of the following tests will reject the null hypothesis that the two samples come from populations with equal variances?
Sample 1: the mean value is 50, the standard deviation is 10, the sample size is 20
Sample 2: the mean value is 60, the standard deviation is 15, the sample size is 25
Question 11 options:
| 99% confidence test | |
| 98% confidence test | |
| 95% confidence test | |
| None of the above |
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Question 12 (1 point)

We have two samples:
Sample 1 consists of 40 observations and has the sample variance of 4.5.
Sample 2 consists of 50 observations and has the sample variance of 5.4.
Please conduct a 90% significance test for the equality of the two population variances.
Question 12 options:
| The test REJECTS the hypothesis that the two variances are equal | |
| The test FAILS TO REJECT the hypothesis that the two variances are equal | |
| Not enough information is provided |
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