Ms. Gene Dempsey manages the emergency care center;at the Bell Grove Medical Center. One of her responsibili- ties is to have enough nurses so that incoming patients needing service can be handled promptly. It is stressful for patients to wait a long time for emergency care even when their care needs are not life threatening. Ms. Dempsey gathered the following information regarding the number of patients over the last several weeks. The center is no open on weekends. Does it appear that there are any differences in the number of patients served by the day of the week? If there are differences, which days seem to be the busiest?
|
Monday
|
Tuesday
|
Wednesday
|
Thursday
|
Friday
|
|
38
|
28
|
28
|
30
|
35
|
|
35
|
25
|
22
|
21
|
32
|
|
37
|
29
|
27
|
28
|
35
|
|
37
|
26
|
28
|
23
|
33
|
Use 5% significant level.
(a) State the hypothesis (Ho: or Ha:)
(b) Show you calculation for SST, SSC and SSE.
(c) Make an analysis of variance table.
(d) Verify your answer of part c using excel or Minitab.
(e) Conclusion of your analysis.
(f) If the test conducted reveals that hypothesis should be rejected, which days seem to be the busiest?
Use a 95% confidence interval for multiple comparisons. Show your calculation by hand between Monday and Tuesday. Match your answer with Minitab output. Attach Minitab output.