Question

A population has standard deviation o-17.3. al. Part 1 of 2 1 (a) How large a sample must be drawn so that a 95% confidence interval for u will have a margin of error equal to 4.5? Round the critical value to no less than three decimal places. Round the sample size up to the nearest integer. A sample size of is needed to be drawn in order to obtain a 95% confidence interval with a margin of error equal to 4.5. Part 2 of 2 (b) If the required confidence level were 90%, would the necessary sample size be larger or smaller? (Choose one), because the confidence level is (Choose one)

Answer 1

From the given information,

By using sample size calculator,

The required correct answer is,

Sample size= 57

And

For 90% confidence interval,

The required sample size will be smaller because confidence level is smaller.

Thank you.