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. Cleveland Clinic Martain Health recently advertised a 27 minute
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.
Cleveland Clinic Martain Health recently advertised a 27 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 121 ER visits to Cleveland Clinic Martain Health was examined and the mean wait time of the sample was found to be 27.86 minutes.
Using α=0.025α=0.025, 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 Cleveland Clinic Martain Health is known to be 4.14 minutes. Use the critical value method.
Determine the test statistic. Round the solution to two decimal places.
Determine the appropriate conclusion for this hypothesis test.
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