Problem #2 - In excel
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.
Data:
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 |
53 | 14 |
31 | 50 |
59 | 47 |
27 | 93 |
27 | 38 |
56 | 34 |
20 | 35 |
55 | 67 |
24 | 32 |
35 | 34 |
52 | 70 |
31 | 40 |
15 | 25 |
29 | 25 |
24 | 54 |
46 | 44 |
45 | 50 |
26 | 101 |
19 | 50 |
29 | 83 |
37 | |
53 |
Question:
Step 1 | Develop Hypotheses | |
H0: | ||
Ha: | ||
Step 2 | Specify the Significance Level (a) | |
a= | ||
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 | |
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