a. Use a 95% confidence interval to estimate the difference between the population means (₁-H2). Interpret the confidence interval. The confidence interval is (.). (Round to one decimal place as needed.) Interpret the confidence interval. Select the correct answer below. A. We are 95% confident that the difference between the population means falls in the confidence interval. OB. We are 95% confident that each of the population means is contained in the confidence interval. C. We are 95% confident that the difference between the population means falls outside of the confidence interval. D. We are 95% confident that each of the population means falls outside of the confidence interval. b. Test the null hypothesis Ho: (H₁-H₂) = 0 versus the alternative hypothesis H₁: (H₁-H₂) #0. Give the significance level of the test, and interpret the result. Use a = 0.05. What is the test statistic? (Round to two decimal places as needed.) What is the observed significance level, or p-value? p-value= (Round to three decimal places as needed.) Interpret the results. Choose the correct answer below. O A. Do not reject Ho. There is not sufficient evidence that the population means are different. B. Reject Ho. There is not sufficient evidence that the population means are different. O C. Do not reject Ho. There is sufficient evidence that the population means are different. D. Reject Ho. There is sufficient evidence that the population means are different.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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c. Suppose the test in part b was conducted with the alternative hypothesis H₂: (μ₁ −µ₂) >0. How would your answer to part b change? Select the correct choice below and fill in the answer box within your choice.
(Round to three decimal places as needed.)
and the null hypothesis would not be rejected in favor of the new alternative hypothesis.
A. The test statistic would be
B. The test statistic would be and the null hypothesis would be rejected in favor of the new alternative hypothesis.
OC. The observed significance level, or p-value, would be
D. The observed significance level, or p-value, would be
d. Test the null hypothesis Ho: (₁-₂)
What is the test statistic?
= 24 versus H₂: (μ₁ −µ₂) #24. Give the significance level and interpret the result. Use α = 0.05. Compare your answer to the test conducted in part b.
Z=
(Round to two decimal places as needed.)
What is the observed significance level, or p-value?
and the null hypothesis would not be rejected in favor of the new alternative hypothesis.
and the null hypothesis would be rejected in favor of the new alternative hypothesis.
p-value=
(Round to three decimal places as needed.)
Interpret the results. Choose the correct answer below.
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A. Reject Ho. There is sufficient evidence to conclude that (µ₁ −μ₂) is not equal to 24.
B. Reject Ho. There is not sufficient evidence to conclude that (µ₁ −µ₂) is not equal to 24.
O C. Do not reject Ho. There is sufficient evidence to conclude that (H₁-H₂) is not equal to 24.
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D. Do not reject Ho. There is not sufficient evidence to conclude that (μ₁ −μ₂) is not equal to 24.
Compare your answer to the test conducted in part b. Choose the correct answer below.
A. The test in part b supported the hypothesis that the means are different. The test in part d supported the hypothesis that the difference is 24.
B. The test in part b supported the hypothesis that the means are not different. The test in part d supported the hypothesis that the difference is 24.
O C. The test in part b supported the hypothesis that the means are different. The test in part d supported the hypothesis that the difference is not 24.
D. The test in part b supported the hypothesis that the means are not different. The test in part d supported the hypothesis that the difference is not 24.
Transcribed Image Text:- c. Suppose the test in part b was conducted with the alternative hypothesis H₂: (μ₁ −µ₂) >0. How would your answer to part b change? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) and the null hypothesis would not be rejected in favor of the new alternative hypothesis. A. The test statistic would be B. The test statistic would be and the null hypothesis would be rejected in favor of the new alternative hypothesis. OC. The observed significance level, or p-value, would be D. The observed significance level, or p-value, would be d. Test the null hypothesis Ho: (₁-₂) What is the test statistic? = 24 versus H₂: (μ₁ −µ₂) #24. Give the significance level and interpret the result. Use α = 0.05. Compare your answer to the test conducted in part b. Z= (Round to two decimal places as needed.) What is the observed significance level, or p-value? and the null hypothesis would not be rejected in favor of the new alternative hypothesis. and the null hypothesis would be rejected in favor of the new alternative hypothesis. p-value= (Round to three decimal places as needed.) Interpret the results. Choose the correct answer below. - A. Reject Ho. There is sufficient evidence to conclude that (µ₁ −μ₂) is not equal to 24. B. Reject Ho. There is not sufficient evidence to conclude that (µ₁ −µ₂) is not equal to 24. O C. Do not reject Ho. There is sufficient evidence to conclude that (H₁-H₂) is not equal to 24. - D. Do not reject Ho. There is not sufficient evidence to conclude that (μ₁ −μ₂) is not equal to 24. Compare your answer to the test conducted in part b. Choose the correct answer below. A. The test in part b supported the hypothesis that the means are different. The test in part d supported the hypothesis that the difference is 24. B. The test in part b supported the hypothesis that the means are not different. The test in part d supported the hypothesis that the difference is 24. O C. The test in part b supported the hypothesis that the means are different. The test in part d supported the hypothesis that the difference is not 24. D. The test in part b supported the hypothesis that the means are not different. The test in part d supported the hypothesis that the difference is not 24.
In order to compare the means of two populations, independent random samples of 400 observations are selected from each population, with the results found in the table to the Sample 1
right. Complete parts a through e below.
X₁ = 5,297
S₁ = 144
a. Use a 95% confidence interval to estimate the difference between the population means (µ₁ −µ₂). Interpret the confidence interval.
The confidence interval is (,).
(Round to one decimal place as needed.)
Interpret the confidence interval. Select the correct answer below.
A. We are 95% confident that the difference between the population means falls in the confidence interval.
B. We are 95% confident that each of the population means is contained in the confidence interval.
C. We are 95% confident that the difference between the population means falls outside of the confidence interval.
D. We are 95% confident that each of the population means falls outside of the confidence interval.
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b. Test the null hypothesis Ho: (μ₁ −μ₂) = 0 versus the alternative hypothesis H₂: (μ₁ −μ₂) ‡0. Give the significance level of the test, and interpret the result. Use α = 0.05.
What is the test statistic?
Z=
(Round to two decimal places as needed.)
What is the observed significance level, or p-value?
p-value =
(Round to three decimal places as needed.)
Interpret the results. Choose the correct answer below.
A. Do not reject Ho. There is not sufficient evidence that the population means are different.
B. Reject Ho. There is not sufficient evidence that the population means are different.
C. Do not reject Ho. There is sufficient evidence that the population means are different.
D. Reject Ho. There is sufficient evidence that the population means are different.
Sample 2
X₂ = 5,263
S₂ = 194
Transcribed Image Text:In order to compare the means of two populations, independent random samples of 400 observations are selected from each population, with the results found in the table to the Sample 1 right. Complete parts a through e below. X₁ = 5,297 S₁ = 144 a. Use a 95% confidence interval to estimate the difference between the population means (µ₁ −µ₂). Interpret the confidence interval. The confidence interval is (,). (Round to one decimal place as needed.) Interpret the confidence interval. Select the correct answer below. A. We are 95% confident that the difference between the population means falls in the confidence interval. B. We are 95% confident that each of the population means is contained in the confidence interval. C. We are 95% confident that the difference between the population means falls outside of the confidence interval. D. We are 95% confident that each of the population means falls outside of the confidence interval. - b. Test the null hypothesis Ho: (μ₁ −μ₂) = 0 versus the alternative hypothesis H₂: (μ₁ −μ₂) ‡0. Give the significance level of the test, and interpret the result. Use α = 0.05. What is the test statistic? Z= (Round to two decimal places as needed.) What is the observed significance level, or p-value? p-value = (Round to three decimal places as needed.) Interpret the results. Choose the correct answer below. A. Do not reject Ho. There is not sufficient evidence that the population means are different. B. Reject Ho. There is not sufficient evidence that the population means are different. C. Do not reject Ho. There is sufficient evidence that the population means are different. D. Reject Ho. There is sufficient evidence that the population means are different. Sample 2 X₂ = 5,263 S₂ = 194
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