A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population.Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately __________as the interval from the sample of size 100.
i. One-eighth as wide
ii. One-fourth as wide
iii. One-half as wide
iv. The same width
v. Twice as wide
vi. Four times as wide
vii. Eight times as wide
(iii) one-half as wide. The ratio of the widths is equal to the ratio of the standard deviations of the sample mean, which is
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