If all other quantities remain the same, how does the indicated change affect th

Question

If all other quantities remain the same, how does the indicated change affect the width of a confidence interval? (a) Increase in the level of confidence (b) Increase in the sample size (c) Increase in the population standard deviation (a) How does an increase in the level of confidence affect the width of a confidence interval? Choose the correct answer below. An increase in the level of confidence the confidence interval. (b) How does an increase in the sample size affect the width of a confidence interval? Choose the correct answer below. An increase in the sample size the confidence interval. (c) How does an increase in the population standard deviation affect the width of a confidence interval? Choose the correct answer below. An increase in the population standard deviation the confidence interval.

Explanation / Answer

General form of a confidence interval (CI):

A confidence interval estimates are intervals within which the parameter is expected to fall, with a certain degree of confidence.

The general form:

estimate ± critical value × std.dev of the estimate

or estimate ± margin of error

(a) An increase in the level of confindence , increases the confidence interval (because in this case critical value increases).

(b)An increase in the sample size , decreases the confidence interval (because in this case standard error decreases).

(c) An increase in the population standanard deviation , increases the confidence interval (because in this case standard error /deviation of estimate increases).

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