Question 9
Say, Table 1 specifies the blood sugar level (in mg/dL) for the male and female patients who visit a hospital. It is assumed that the blood sugar level is distributed Normally with a mean of 50mg/ dL and standard deviation of 10 mg/dL. You are asked to perform your analysis by using the following bins. The bins are suggested such that the probability space is split into equal areas.
Bin-1: [0 mg/dL to 50 mg/dL]
Bin-2: [>50 mg/dL to 70 mg/dL]
Bin-3: [>70 mg/dL to 90 mg/dL]
Bin-4: [>90 mg/dL to 100mg/dL]
| Patient ID | Gender | Blood sugar level (in mg/dL) |
|---|---|---|
| P1 | MALE | 71 |
| P2 | MALE | 84 |
| P3 | MALE | 76 |
| P4 | MALE | 78 |
| P5 | MALE | 89 |
| P6 | FEMALE | 92 |
| P7 | FEMALE | 97 |
| P8 | FEMALE | 95 |
| P9 | FEMALE | 83 |
| P10 | FEMALE | 72 |
Then answer the given subquestions.
What is the value of the computed test statistic for the statistical test to be performed? (Note: give only a numerical value rounded to 2 decimal places. For example, if your answer is 10.1253, then input the answer as “10.13”)