Q 8.48 - Elementary Statistics

Question

Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.

Decreasing the sample size while keeping the same confidence level.

Step-by-Step Solution

Answer

Accuracy to estimate the population mean is decreased.

Step 1: Given Information

It is given that sample size is decreased and confidence level is same.

Step 2: Explanation

When the sample size is decreased and confidence level remains unchanged, then it results in increase in margin of error.

Therefore corresponding accuracy for the estimation of population mean using sample mean is decreased.