Excel For Decision Science

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ExcelHW2_XieChengyong.xlsx

Problem 1

Hospital A Hospital B
81 89
77 64
75 85
74 78
86 89
90 85
62 87
73 77
91 82
98 79
81 69
85 78 Step 1 Develop Hypotheses Put the data analysis output here (H14)
77 65 H0: z-Test: Two Sample for Means
78 71 Ha:
83 77
90 88 Step 2 Specify the Significance Level (a)
78 73 a= 0.05
76 68
71 75
80 80 Step 3 Compute the Test Statistic
Test Statistic =
Step 4 Determine the Critical Value
Critical Value =
Step 5 Compute the p-value
p-value
Step 6 Make your decision whether to reject H0 or not
p-value vs. a
Test statistic vs. Critical value
Decision
Step 7 Interpret the statistical conclusion

Problem #1 A healthcare consultant wants to compare the patient satisfaction ratings of two hospitals. The consultant collects ratings from 20 patients for each of the hospitals as listed in column A and column B of this data sheet. The consultant wants determine whether there is a difference in the patient ratings between the hospitals. The population standard deviations for the ratings are known to be 8 for Hospital A and 10 for Hospital B. Use a 0.05 significance level and fill out each of the following blank cells to reach your conclusion. Use the Excel "Data Analysis" ToolPak to calculate the necessary statistics.

Problem 2

EMS Private
27 93
45 65
39 50
41 60
61 47
29 54
56 60
33 69
25 62
67 28
67 43
45 51
27 51
39 58
40 43 Put the data analysis output here (H17)
53 14 Step 1 Develop Hypotheses
31 50 H0:
59 47 Ha:
27 93
27 38 Step 2 Specify the Significance Level (a)
56 34 a=
20 35
55 67
24 32 Step 3 Compute the Test Statistic
35 34 Test Statistic =
52 70
31 40
15 25 Step 4 Determine the Critical Value
29 25 Critical Value =
24 54
46 44
45 50 Step 5 Compute the p-value
26 101 p-value
19 50
29 83
37 Step 6 Make your decision whether to reject H0 or not
53 p-value vs. a
Test statistic vs. Critical value
Decision
Step 7 Interpret the statistical conclusion

Problem #2 In stroke patient care, “Time is brain” is a popular phrase to emphasize that the early medical treatment is associated with increased positive therapeutic effects. One of the most important patient care performance indicators for stroke care is the “Door-to-Needle (DTN)” time (i.e., the number of minutes elapsed between patient’s arrival at the emergency department of a hospital and the infusion of a necessary medication. The stroke program manager of a hospital wants to determine if the DTN time for patients who came to the hospital with an EMS (emergency medical service) provider is shorter than the DTN time for patients who used a private transportation (e.g., personal car, taxi, etc.). The DTN time data for the two patient arrival modes are listed in column A and column B of this data sheet. Use a 0.01 significance level and fill out each of the following blank cells to reach your conclusion. Use the Excel "Data Analysis" Toolpak to calculate the necessary statistics.