You may need to use the appropriateappendix tableortechnologyto answer this question.

A local university administers a comprehensive examination to the candidates for B.S. degrees in Business Administration. Five examinations are selected at random and scored. The scores are shown below.

Scores

79

87

90

60

74

(a)

Compute the mean and the standard deviation of the sample. (Round the standard deviation to five decimal places.)

meanstandard deviation

(b)

Compute the margin of error at 95% confidence. Assume the population is normally distributed. (Round your answer to four decimal places.)

(c)

Develop a 95% confidence interval estimate for the mean of the population. (Round your answers to two decimal places.)