Discussion
Match the items in List - I with items in List - II :
| List - I | List - II |
|---|---|
| a. \(\mu \pm 2\sigma\) | i. 99.7% |
| b. \(\mu \pm 3\sigma\) | ii. 66% |
| c. \(\mu \pm 1\sigma\) | iii. p = 0.045 |
| d. \(\alpha \lt 0.05\) | iv. 95% |
| e. \(\alpha \lt 0.01\) | v. p = .002 |
| vi. 99% | |
| vii. 68% | |
| viii. p = 0.055 |
Codes : a b c d e
Answer: A
The correct match is a-iv, b-i, c-vii, d-iii, e-v. The range of the mean plus or minus two standard deviations holds 95 percent of a normal distribution, plus or minus three holds 99.7 percent, and plus or minus one holds about 68 percent. A value of p = 0.045 is below 0.05 and p = .002 is below 0.01, so they go with the two alpha levels. This is the first option, and the others give the one-sigma range the wrong figure, so they are rejected.
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