Consider a population with a known standard deviation of 26.8. In order to compute an interval estimate for the population mean, a sample of 64 observations is drawn.
a. Is the condition that
is normally distributed satisfied? Explain.
b. Compute the margin of error at a 95% confidence level.
c. Compute the margin of error at a 95% confidence level based on a larger sample of 225 observations.
d. Which of the two margins of error will lead to a wider confidence interval?