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ong wait times. To improve their image, man have worked hard to reduce their ER wait tim requently advertise their improved, low ER w Lawnwood Regional Medical Center recently a minute or less wait time at their ER. An accre agency is suspicious of this low advertised wa

ong wait times. To improve their image, man have worked hard to reduce their ER wait tim requently advertise their improved, low ER w Lawnwood Regional Medical Center recently a minute or less wait time at their ER. An accre agency is suspicious of this low advertised wa

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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Hospital emergency rooms (ERs) have a bad reputation for long wait times. To improve their image, many hospitals have worked hard to reduce their ER wait times and frequently advertise their improved, low ER wait times. Lawnwood Regional Medical Center recently advertised a 4 minute or less wait time at their ER. An accreditation agency is suspicious of this low advertised wait time and would like to test the hospital's claim. A random sample of 139 ER visits to Lawnwood Regional Medical Center was examined and the mean wait time of the sample was found to be 4.18 minutes. Using a significance level of 2.5%, can the accreditation agency conclude that the hospital's claim about ER wait times is false? Assume that the standard deviation of the wait times of all ER visits at Lawnwood Regional Medical Center is known to be 0.71 minutes. Use the critical value method. State the null and alternative hypothesis for this test. Ho: ? H₁: ? Determine if this test is left-tailed, right-tailed, or two- tailed. two-tailed left-tailed Oright-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used The standard normal (z) distribution should be used Determine the critical value(s) for this hypothesis test. Round the solution (s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list
Transcribed Image Text:Hospital emergency rooms (ERs) have a bad reputation for long wait times. To improve their image, many hospitals have worked hard to reduce their ER wait times and frequently advertise their improved, low ER wait times. Lawnwood Regional Medical Center recently advertised a 4 minute or less wait time at their ER. An accreditation agency is suspicious of this low advertised wait time and would like to test the hospital's claim. A random sample of 139 ER visits to Lawnwood Regional Medical Center was examined and the mean wait time of the sample was found to be 4.18 minutes. Using a significance level of 2.5%, can the accreditation agency conclude that the hospital's claim about ER wait times is false? Assume that the standard deviation of the wait times of all ER visits at Lawnwood Regional Medical Center is known to be 0.71 minutes. Use the critical value method. State the null and alternative hypothesis for this test. Ho: ? H₁: ? Determine if this test is left-tailed, right-tailed, or two- tailed. two-tailed left-tailed Oright-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used The standard normal (z) distribution should be used Determine the critical value(s) for this hypothesis test. Round the solution (s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list
Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used The standard normal (z) distribution should be used Determine the critical value(s) for this hypothesis test. Round the solution (s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test. The sample data provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 4 minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 minutes or less is likely true. The sample data provide sufficient evidence to reject the null hypothesis that the mean ER wait time at is 4 less minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 or less minutes is likely The sample data do not provide sufficient evidence to reject the null hypothesis that the mean ER wait time at is 4 less minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 or less minutes is likely true. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 4 minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 minutes or less is likely false.
Transcribed Image Text:Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used The standard normal (z) distribution should be used Determine the critical value(s) for this hypothesis test. Round the solution (s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test. The sample data provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 4 minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 minutes or less is likely true. The sample data provide sufficient evidence to reject the null hypothesis that the mean ER wait time at is 4 less minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 or less minutes is likely The sample data do not provide sufficient evidence to reject the null hypothesis that the mean ER wait time at is 4 less minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 or less minutes is likely true. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean ER wait time at is greater than 4 minutes and thus we conclude that the hospital's claim that the mean ER wait time is 4 minutes or less is likely false.
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