Problem 3 You’re a healthcare engineering consultant and you’re analyzing the emergency room design at Pawhuska Hospital, Inc. Below you’ll find sample data for the waiting time (in minutes) of non-critical patients entering the emergency room. a. The hospital administrator wants to make the claim that average waiting time for non-critical patients is less than an hour. What is your opinion of that claim using the p-value approach? (note that you’d probably reject any null hypothesis if p-value < 0.1) b. In fact, you believe that at least a third of the non-critical patients arriving to the emergency room wait more than an hour. Test your claim with the critical value approach and 95% confidence. DATA: Obs Wait time 1 33.5 2 33.1 3 44.4 4 58.3 5 44.2 6 92.1 7 22.1 8 82.9 9 60.5 10 84.6 11 20.6 12 89.6 13 11.8 14 86.8 15 22.2 16 119.2 17 36.6 18 58.2 19 14.9 20 55.5 21 41.9 22 26.9 23 68.2 24 51.4 25 19.7 26 53.8 27 13.5 28 17.5 29 55.8 30 23.6 31 120.7 32 72.2 33 89.6 34 29.1 35 49.6 36 41.4 37 108.6 38 58.7 39 16.9 40 96.6 41 36.1 42 72.4 43 52.4 44 22.4 45 36.1 46 85.3 47 27.9 48 11.7 49 30.9 50 11.1 51 17.3 52 31.5 53 21.5 54 97.5 55 153.9 56 117.5 57 79.2 58 41.3 59 19.3 60 63.2 61 80.4 62 31.8 63 65 64 78.8 65 86.3 66 88.1 67 23.5 68 35.6 69 100.4 70 29.7
Problem 3
You’re a healthcare engineering consultant and you’re analyzing the emergency room design at Pawhuska Hospital, Inc. Below you’ll find sample data for the waiting time (in minutes) of non-critical patients entering the emergency room.
a. The hospital administrator wants to make the claim that average waiting time for non-critical patients is less than an hour. What is your opinion of that claim using the p-value approach? (note that you’d probably reject any null hypothesis if p-value < 0.1)
b. In fact, you believe that at least a third of the non-critical patients arriving to the emergency room wait more than an hour. Test your claim with the critical value approach and 95% confidence.
DATA:
Obs | Wait time |
1 | 33.5 |
2 | 33.1 |
3 | 44.4 |
4 | 58.3 |
5 | 44.2 |
6 | 92.1 |
7 | 22.1 |
8 | 82.9 |
9 | 60.5 |
10 | 84.6 |
11 | 20.6 |
12 | 89.6 |
13 | 11.8 |
14 | 86.8 |
15 | 22.2 |
16 | 119.2 |
17 | 36.6 |
18 | 58.2 |
19 | 14.9 |
20 | 55.5 |
21 | 41.9 |
22 | 26.9 |
23 | 68.2 |
24 | 51.4 |
25 | 19.7 |
26 | 53.8 |
27 | 13.5 |
28 | 17.5 |
29 | 55.8 |
30 | 23.6 |
31 | 120.7 |
32 | 72.2 |
33 | 89.6 |
34 | 29.1 |
35 | 49.6 |
36 | 41.4 |
37 | 108.6 |
38 | 58.7 |
39 | 16.9 |
40 | 96.6 |
41 | 36.1 |
42 | 72.4 |
43 | 52.4 |
44 | 22.4 |
45 | 36.1 |
46 | 85.3 |
47 | 27.9 |
48 | 11.7 |
49 | 30.9 |
50 | 11.1 |
51 | 17.3 |
52 | 31.5 |
53 | 21.5 |
54 | 97.5 |
55 | 153.9 |
56 | 117.5 |
57 | 79.2 |
58 | 41.3 |
59 | 19.3 |
60 | 63.2 |
61 | 80.4 |
62 | 31.8 |
63 | 65 |
64 | 78.8 |
65 | 86.3 |
66 | 88.1 |
67 | 23.5 |
68 | 35.6 |
69 | 100.4 |
70 | 29.7 |
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