Question

A professor records the time (in minutes) that it takes 16 students to complete an exam. Compute the SS, the variance, and the standard deviation assuming the 16 students constitute a population and assuming the 16 students constitute a sample. (Round your answers for variance and standard deviation to two decimal places.)

27	39	19	46
41	18	41	42
42	34	31	36
16	23	48	21

(a) the 16 students constitute a population

SS
variance
standard deviation		min

(b) the 16 students constitute a sample

SS
variance
standard deviation		min

Answer 1

Suppose, random number X denotes time (in minutes) required to complete an exam.

Here, number of observations, n=16

(a)

16 students constitute a population-

In case of population we have population variance as follows.

Population standard deviation is given by minutes

(b)

16 students constitute a sample-

In case of population we have population variance as follows.

Sample standard deviation is given by minutes