Question

The width of a confidence interval will be:

Narrower for 98 percent confidence than for 90 percent confidence.

Wider for a sample size of 64 than for a sample size of 36.

Wider for a 99 percent confidence than for 95 percent confidence.

Narrower for a sample size of 25 than for a sample size of 36.

None of these.

Answer 1

The width of a confidence interval will be:

Wider for 99 percent confidence than 95 percent confidence is correct answer.

Increasing the confidence level width of confidence interval become wider.

Narrower for 98 percent confidence than for 90 percent confidence is incorrect because if confidence level increase width become wider.

Wider for a sample size of 64 than for a sample size of 36 is incorrect. Because increasing the sample size decreases the width of confidence interval because standard error decreases.

Narrower for a sample size of 25 than for a sample size of 36 is incorrect answer.

Because as sample size increses width of the confidence interval will be narrower