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11.9 A hospital conducted a study of the waiting time in its emer- gency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing wait- ing time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting times (measured from check-in to when the patient was called into the clinic area) were collected and stored in ERWaiting. a. At the 0.05 level of significance, is there evidence of a differ- ence in the mean waiting times in the four locations? b. If appropriate, determine which locations differ in mean waiting time. c. At the 0.05 level of significance, is there evidence of a difference in the variation in waiting time among the four locations?

11.9 A hospital conducted a study of the waiting time in its emer- gency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing wait- ing time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting times (measured from check-in to when the patient was called into the clinic area) were collected and stored in ERWaiting. a. At the 0.05 level of significance, is there evidence of a differ- ence in the mean waiting times in the four locations? b. If appropriate, determine which locations differ in mean waiting time. c. At the 0.05 level of significance, is there evidence of a difference in the variation in waiting time among the four locations?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location was selected on a particular day, and the waiting times (measured from check into when the patient was called into the clinic area) were collected and stored in the table.
  1. At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in
the four locations?
Main Satellite 1 Satellite 2 Satellite 3
120.08 30.75 75.86 54.05
81.90 61.83 37.88 38.82
78.79 26.40 68.73 36.85
63.83 53.84 51.08 32.83
79.77 72.30 50.21 52.94
47.94 53.09 58.47 34.13
79.88 27.67 86.29 69.37
48.63 52.46 62.90 78.52
55.43 10.64 44.84 55.95
64.06 53.50 64.17 49.61
64.99 37.28 50.68 66.40
53.82 34.31 47.97 76.06
62.43 66.00 60.57 11.37
65.07 8.99 58.37 83.51
81.02 29.75 30.40 39.17
11.9 A hospital conducted a study of the waiting time in its emer- gency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing wait- ing time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting times (measured from check-in to when the patient was called into the clinic area) were collected and stored in ERWaiting. a. At the 0.05 level of significance, is there evidence of a differ- ence in the mean waiting times in the four locations? b. If appropriate, determine which locations differ in mean waiting time. c. At the 0.05 level of significance, is there evidence of a difference in the variation in waiting time among the four locations?
Transcribed Image Text:11.9 A hospital conducted a study of the waiting time in its emer- gency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing wait- ing time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting times (measured from check-in to when the patient was called into the clinic area) were collected and stored in ERWaiting. a. At the 0.05 level of significance, is there evidence of a differ- ence in the mean waiting times in the four locations? b. If appropriate, determine which locations differ in mean waiting time. c. At the 0.05 level of significance, is there evidence of a difference in the variation in waiting time among the four locations?
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