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ou may need to use the appropriate appendix table or technology to answer this question. he average starting salary of students who graduated from colleges of Business in 2009 was $49,200. A sample of 100 graduates of 2010 showed an average starting salary of $50,700. Assume the standard deviation of the po known to be $5,000. We want o determine whether or not there has been a significant increase in the starting salaries. a) State the null and alternative hypotheses (in dollars) to be tested. (Enter != for as needed.) Ho: μ=49200 H₂: μ> 49200 b) Compute the test statistic. 3 c) The null hypothesis is to be tested at the 5% level of significance. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 d) What do you conclude? O Do not reject Ho. There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. O Reject Ho. There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. O Reject Ho. There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. O Do not reject Ho. There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. e) Compute the p-value. (Round your answer to four decimal places.) p-value= Need Help? Read It

ou may need to use the appropriate appendix table or technology to answer this question. he average starting salary of students who graduated from colleges of Business in 2009 was $49,200. A sample of 100 graduates of 2010 showed an average starting salary of $50,700. Assume the standard deviation of the po known to be $5,000. We want o determine whether or not there has been a significant increase in the starting salaries. a) State the null and alternative hypotheses (in dollars) to be tested. (Enter != for as needed.) Ho: μ=49200 H₂: μ> 49200 b) Compute the test statistic. 3 c) The null hypothesis is to be tested at the 5% level of significance. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 d) What do you conclude? O Do not reject Ho. There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. O Reject Ho. There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. O Reject Ho. There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. O Do not reject Ho. There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. e) Compute the p-value. (Round your answer to four decimal places.) p-value= Need Help? Read It

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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### Hypothesis Testing for Starting Salaries You may need to use the appropriate appendix table or technology to answer this question. The average starting salary of students who graduated from colleges of Business in 2009 was $49,200. A sample of 100 graduates of 2010 showed an average starting salary of $50,700. Assume the standard deviation of the population is known to be $5,000. We want to determine whether or not there has been a significant increase in the starting salaries. #### (a) State the null and alternative hypotheses (in dollars) to be tested. (Enter != for ≠ as needed.) - \( H_0: \mu = 49200 \) - \( H_a: \mu > 49200 \) #### (b) Compute the test statistic. - Test statistic: \( 3 \) #### (c) The null hypothesis is to be tested at the 5% level of significance. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) - Test statistic \( \leq \): \( \_\_\_\_ \) - Test statistic \( \geq \): \( \_\_\_\_ \) #### (d) What do you conclude? - \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. - \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. - \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. - \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. #### (e) Compute the p-value. (Round your answer to four decimal places.) - p-value: \( \_\_\_\_ \) *Note: The diagram is not present in the given image.*
Transcribed Image Text:### Hypothesis Testing for Starting Salaries You may need to use the appropriate appendix table or technology to answer this question. The average starting salary of students who graduated from colleges of Business in 2009 was $49,200. A sample of 100 graduates of 2010 showed an average starting salary of $50,700. Assume the standard deviation of the population is known to be $5,000. We want to determine whether or not there has been a significant increase in the starting salaries. #### (a) State the null and alternative hypotheses (in dollars) to be tested. (Enter != for ≠ as needed.) - \( H_0: \mu = 49200 \) - \( H_a: \mu > 49200 \) #### (b) Compute the test statistic. - Test statistic: \( 3 \) #### (c) The null hypothesis is to be tested at the 5% level of significance. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) - Test statistic \( \leq \): \( \_\_\_\_ \) - Test statistic \( \geq \): \( \_\_\_\_ \) #### (d) What do you conclude? - \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. - \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. - \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that there has been a significant increase in the starting salaries. - \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that there has been a significant increase in the starting salaries. #### (e) Compute the p-value. (Round your answer to four decimal places.) - p-value: \( \_\_\_\_ \) *Note: The diagram is not present in the given image.*
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