a-researcher-collects-a-simple-random-sample-of-size-n12-n-12-from-a-population-

Question

A researcher collects a simple random sample of size n=12 n = 12  from a population that is normally distributed. The sample mean, xˉ \bar{x} , is 9595, and the sample standard deviation, s s , is 88. Construct a 98%98\% confidence interval for the population mean μ \mu . How does decreasing the sample size affect the margin of error, E E ?

Accepted Answer

[89,101][89,101]Decreasing sample size increases the margin of error

Answer

[93,102][93,102]Decreasing sample size decreases the margin of error

Answer

[83,105][83,105]Decreasing sample size increases the margin of error

Answer

[79,112][79,112]Decreasing sample size decreases the margin of error