Technical Report: Variance Analysis of Biological Samples
Technical Report: Variance Analysis of Biological Samples
Secondary 4
The waiting time in minutes for \(50\) patients at two hospitals were given as follows.
Hospital \(A\):
| Time (minutes) | \(20 < t \le 24\) | \(24 < t \le 28\) | \(28 < t \le 32\) | \(32 < t \le 36\) | \(36 < t \le 40\) |
|---|---|---|---|---|---|
| Number of patients | \(4\) | \(14\) | \(23\) | \(6\) | \(3\) |
Hospital \(B\):
| Mean (minutes) = \(29.2\) |
|---|
| Standard Deviation (minutes) = \(3.5\) |
- For Hospital \(A\), calculate an estimate of
- the mean waiting time,
- the standard deviation, correct to \(3\) significant figures.
- Compare briefly, the waiting time for the two hospitals.
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Answer:(a)(i) 29.2 minutes. (ii) 3.84 minutes (3 s.f.). (b) Same mean; Hospital B is more consistent because its standard deviation is smaller.
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