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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)

image text in transcribed

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)

image text in transcribed

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)

image text in transcribed

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)

image text in transcribed

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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