Question

Determine whether the given conditions justify using the margin of error E = z_/2 / when finding a confidence interval estimate of the population mean .

The sample size is n = 241 and  = 17.

Yes or No

Answer 1

Solution  :

Yes .

Here, sample size is large enough to conclude that the mean of the underlying distribution is approximately normal, so we can use the given margin of error formula.

Sample size is given and population standard deviation is known but confidence level is also required that is the value of alpha.

The sample size is large enough to assume sample mean as normally distributed. Also the population standard deviation is known, hence the given conditions justify the computation of Margin of error for population mean confidence interval by given formula by taking suitable confidence level