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. Sebastian River Medical Center recently advertised a 20 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 128 ER visits to Sebastian River Medical Center was examined and the mean wait time of the sample was found to be 20.52 minutes Using alpha = 0.02 , 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 Sebastian River Medical Center is known to be 2.66 minutes . Use the critical value method. State the null and alternative hypothesis for this test. 20 20 Determine if this test is left-tailed , right tailed, or two -tailed right-tailed Oleft -tailed Otwo -tailed Should the standard normal () distribution or Student's (t) distribution be used for this test ? The standard normal ) distribution should be used The Student's distribution should be used Determine the critical value s for this hypothesis testRound the solution s) to two decimal places . Ifmore than one critical value exists , enter the solutions using a comma -separated list Determine the test statistic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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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. Sebastian River Medical Center recently advertised a 20 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 128 ER visits to Sebastian River Medical Center was examined and the mean wait time of the sample was found to be 20.52 minutes Using alpha = 0.02 , 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 Sebastian River Medical Center is known to be 2.66 minutes . Use the critical value method. State the null and alternative hypothesis for this test. 20 20 Determine if this test is left-tailed , right tailed, or two -tailed right-tailed Oleft -tailed Otwo -tailed Should the standard normal () distribution or Student's (t) distribution be used for this test ? The standard normal ) distribution should be used The Student's distribution should be used Determine the critical value s for this hypothesis testRound the solution s) to two decimal places . Ifmore 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 

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