A personnel manager has found that historically the scores onaptitude test given to applicants for entry level positions followa normal distribution. A random sample of nineteen test scores fromthe current group of applicants had a sample mean score of 187.9points and sample standard deviation as 32.4 points.
a. Find the margin of error.
b. Construct a confidence interval estimate for population meanwith 80 percent level of confidence.
c. Construct a confidence interval estimate for population meanwith 85 percent level of confidence.