A single sample is being used to construct a 90% confidence interval for the pop

Question

A single sample is being used to construct a 90% confidence interval for the population mean. What would be the difference between an interval for a sample of n = 25 and the interval for a sample of n = 100? Assume that all other factors are held constant.

a. With n = 100, the standard error would be larger and the interval would be wider.

b. With n = 100, the standard error would be larger and the interval would be narrower.

c. With n = 100, the standard error would be smaller and the interval would be wider.

d. With n = 100, the standard error would be smaller and the interval would be narrower.

Explanation / Answer

When sample size increases, std error decreases.

Hence the margin of error decreases narrowing the confidence interval.

d. With n = 100, the standard error would be smaller and the interval would be narrower.

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