A 95% confidence interval for a population mean is

Chapter 5, Problem 20E

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QUESTION:

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

Questions & Answers

QUESTION:

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

ANSWER:

Solution:

Step 1 of 3:

A 95% CI for the population mean is computed from a sample of size 400. An another 95% CI will be computed from a sample of size 100 drawn from the same population.

The CI from the sample of size 400 will be approximately _________  as the interval from the sample of Size.


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