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You may need to use the appropriate appendix table or technology to answer this question. At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. (a) State the hypotheses. OH: 4900 H₂:μ> 900 2900 H:μ< 900 OH: H₂: 900 2900 0% H₁: = 900 H₂:μ#900 OH: H > 900 H₂:μ ≤ 900 (b) What is the 95% confidence interval estimate of the population mean examination score if a sample of 190 applications provided a sample mean x=933? (Round your answers to the nearest integer.) to (c) Use the confidence interval to conduct a hypothesis test. Using a 0.05, what is your conclusion? O Reject H. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject H. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. (d) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value=

You may need to use the appropriate appendix table or technology to answer this question. At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. (a) State the hypotheses. OH: 4900 H₂:μ> 900 2900 H:μ< 900 OH: H₂: 900 2900 0% H₁: = 900 H₂:μ#900 OH: H > 900 H₂:μ ≤ 900 (b) What is the 95% confidence interval estimate of the population mean examination score if a sample of 190 applications provided a sample mean x=933? (Round your answers to the nearest integer.) to (c) Use the confidence interval to conduct a hypothesis test. Using a 0.05, what is your conclusion? O Reject H. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject H. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. (d) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value=

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You may need to use the appropriate appendix table or technology to answer this question. At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. (a) State the hypotheses. OH₂H ≤ 900 H₂:μ > 900 H:μ ≥ 900 H: μ< 900 H₂:μ< 900 H₂:μ ≥ 900 O Ho H₁: μ = 900 H₂:μ = 900 00:4> 900 H:μs 900 (b) What is the 95% confidence interval estimate of the population mean examination score if a sample of 190 applications provided a sample mean x = 933? (Round your answers to the nearest integer.) to (c) Use the confidence interval to conduct a hypothesis test. Using a = 0.05, what is your conclusion? O Reject H. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject Ho. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. (d) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value =
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. (a) State the hypotheses. OH₂H ≤ 900 H₂:μ > 900 H:μ ≥ 900 H: μ< 900 H₂:μ< 900 H₂:μ ≥ 900 O Ho H₁: μ = 900 H₂:μ = 900 00:4> 900 H:μs 900 (b) What is the 95% confidence interval estimate of the population mean examination score if a sample of 190 applications provided a sample mean x = 933? (Round your answers to the nearest integer.) to (c) Use the confidence interval to conduct a hypothesis test. Using a = 0.05, what is your conclusion? O Reject H. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject H. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject Ho. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. (d) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value =
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