Please use the dataset below to conduct a hypothesis test for the equality of the two population means. Please do so with 95% significance. Also assume that the two population standard deviations are unknown and cannot be assumed to be equal.

Please report the t-test statistic from your test.

Sample 1	Sample 2
38	41
36	35
36	38
37	40
38	39
37	36
35	37
37
36
40

Question 1 options:

	-1.074
	1.273
	-1.655
	-3.011

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Question 2 (1 point)

If we compute the degrees of freedom in this test conservatively (by rounding down), what would the degrees of freedom be?

Hypothesis test for the equality of the two population means with 95% significance (cannot assume that the two sigmas are known or equal).

Sample 1	Sample 2
38	41
36	35
36	38
37	40
38	39
37	36
35	37
37
36
40

Question 2 options:

	11
	10
	9
	8

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Question 3 (1 point)

Using the dataset below, please test the hypothesis that the population mean 1 (associated with Sample 1) is greater than or equal to the population mean 2 (associated with Sample 2). Please do so with the significance level of 90%. Please report the p-value of the test as your answer. PLEASE PERFORM THE TEST IN EXCEL USING THE PREPROGRAMMED FUNCTION AND INGORE THE DEGREE OF FREEDOM ROUNDING ISSUE.

Continue to assume that the two population standard deviations are unknown and cannot be assumed equal.

Sample 1	Sample 2
38	41
36	35
36	38
37	40
38	39
37	36
35	37
37
36
40

Question 3 options:

	0.154
	0.300
	0.050
	0.100

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Question 4 (1 point)

Using the dataset below, please test the hypothesis that the population mean 2 (associated with Sample 2) is greater than or equal to the population mean 1 (associated with Sample 1). Please do so with the significance level of 90%. Please report the p-value of the test as your answer. PLEASE PERFORM THE TEST IN EXCEL USING THE PREPROGRAMMED FUNCTION AND INGORE THE DEGREE OF FREEDOM ROUNDING ISSUE.

Please note, we don't know the values of the two population sigmas and can't assume that they are equal.

Sample 1	Sample 2
38	41
36	35
36	38
37	40
38	39
37	36
35	37
37
36
40

Question 4 options:

	0.154
	0.134
	0.050
	0.100

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Question 5 (1 point)

Which of the significance levels listed in the answer choices will result in the hypothesis test for the equality of the two population means (the dataset below) rejecting the null hypothesis (the two means are equal)?

Please note that we don't know the two sigmas and can't assume that they are equal.

Sample 1	Sample 2
38	41
36	35
36	38
37	40
38	39
37	36
35	37
37
36
40

Question 5 options:

	99% significance
	95% significance
	90% significance
	80% significance
	None of the above

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