For each of the following changes choose whether the effect on the width of the

Question

For each of the following changes choose whether the effect on the width of the confidence interval would be an increase, a decrease, remain the same, or indeterminable. Assume all other variables remain constant.

A) Increase the sample size and simultaneously decrease the confidence level (?)

B) Decrease the sample size and increase the confidence level (?)

C) Increase the population size from 5 million to 18 million (?)

D) Increase the sample size and, simultaneously, increase the confidence level (?)

Explanation / Answer

Increasing sample size decreased the margin of error.

and when we increases the confidence level critical value increases, which in trun increases the margin of error.

And as the margin of error increases , with of confidence interval also increases and f margin of error decreases width of cofidence interval decreases.

(A)

Width of confidence interval decreases.

(B)

Width of confidence interval increases.

(C)

No effect

(D)

Can't determine because increasing sample decreases the width of confidence interval and increasing  the confidence level increase the width of confidence interval .

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