In Question 4 above, we made the assumption that the variances of the two populations were not equal. We want to perform a hypothesis test to determine whether or not this is a valid assumption. Answer the following four questions: What are the null and alternative hypotheses to run this test? a. Ho: S / S =|l ; H1: S / S, # 1 b. Họ: o /o =1; H1: o lo >1 c. Ho: ० /0 = 1; H1: ০ /o #1 d. Họ: o /o = 0 ; H1: of lo #0 e. none of the above What is the calculated value of the test statistic? a. 7.84 b. 1.17 c. 5.00 d. .883 e. none of the above 2 What is the conclusion of the hypothesis test, at the 5% significance level? a. Reject the null since p-value > a, variances are not equal. Assumption in Problem 4 is correct b. Accept the null since p-value > a, variances are equal. Assumption in Problem 4 is incorrect. c. Do not reject the null since p-value < a, variances are equal. Problem 4 assumption is incorrect. d. Reject the null since p-value < a, variances are not equal. Problem 4 assumption is correct. e. none of the above.

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4. Consider the following results for two independent random samples taken from two
populations. Assume that the variances are not equal.
Population 1
Population 2
Sample size, n
Sample mean,
50
50
35
30
784
100
Sample variance,
Transcribed Image Text:4. Consider the following results for two independent random samples taken from two populations. Assume that the variances are not equal. Population 1 Population 2 Sample size, n Sample mean, 50 50 35 30 784 100 Sample variance,
5. In Question 4 above, we made the assumption that the variances of the two populations were
not equal. We want to perform a hypothesis test to determine whether or not this is a valid
assumption. Answer the following four questions:
a) What are the null and alternative hypotheses to run this test?
a. Họ: S / S =|1 ; H1: S / S #1
b. Ho: 어/o=1; Hi: 어 /o>1
c. Họ: o / o = 1; H1: of /o #1
d. Ho: o/0=0; H1: 어/0 +0
e. none of the above
b) What is the calculated value of the test statistic?
a. 7.84
b. 1.17
с. 5.00
d. .883
e. none of the above
2
c)What is the conclusion of the hypothesis test, at the 5% significance level?
a. Reject the null since p-value > a, variances are not equal. Assumption in Problem
4 is correct
b. Accept the null since p-value > a, variances are equal. Assumption in Problem 4
is incorrect.
c. Do not reject the null since p-value < a, variances are equal. Problem 4
assumption is incorrect.
d. Reject the null since p-value < a, variances are not equal. Problem 4 assumption
is correct.
e. none of the above.
Transcribed Image Text:5. In Question 4 above, we made the assumption that the variances of the two populations were not equal. We want to perform a hypothesis test to determine whether or not this is a valid assumption. Answer the following four questions: a) What are the null and alternative hypotheses to run this test? a. Họ: S / S =|1 ; H1: S / S #1 b. Ho: 어/o=1; Hi: 어 /o>1 c. Họ: o / o = 1; H1: of /o #1 d. Ho: o/0=0; H1: 어/0 +0 e. none of the above b) What is the calculated value of the test statistic? a. 7.84 b. 1.17 с. 5.00 d. .883 e. none of the above 2 c)What is the conclusion of the hypothesis test, at the 5% significance level? a. Reject the null since p-value > a, variances are not equal. Assumption in Problem 4 is correct b. Accept the null since p-value > a, variances are equal. Assumption in Problem 4 is incorrect. c. Do not reject the null since p-value < a, variances are equal. Problem 4 assumption is incorrect. d. Reject the null since p-value < a, variances are not equal. Problem 4 assumption is correct. e. none of the above.
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