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