Question

An ice company was in business for only three days. Here are the numbers of phone calls received on each of those days: 10 , 8 , 4. Assume that samples of size 2 are randomly selected with replacement from this population of three values.

a. List the different possible samples and find the mean of each of them. Select the correct choice below and fill in the answer boxes within your choice.

A. SampleSample Mean x overbar Mean x 10 -10 nothing 10 -8 nothing 10 -4 nothing 8 -10 nothing 8 -8 nothing 8 -4 nothing 4 -10 nothing 4 -8 nothing 4 -4 nothing

B. SampleSample Mean x overbarMean x 10 -8 nothing 10 -4 nothing 8 -4 nothing

C. SampleSample Mean x overbarMean x 10 -10 nothing 10 -8 nothing 10 -4 nothing 8 -8 nothing 8 -4 nothing 4 -4 nothing

D. SampleSample Mean x overbarMean x 10 -8 nothing 10 -4 nothing 8 -10 nothing 8 -4 nothing 4 -10 nothing 4 -8 nothing

Answer 1

Population = { 10 , 5 , 4 }

Sample of size 2 are randomly selected with replacement from population.

With replacement means select one value randomly and put it again in population during next selection

So possible samples are,

{ ( 10 , 10 ) , ( 10, 8 ) , ( 10, 4 ) ,( 8 , 10 ) , ( 8, 8 ) , ( 8, 4 ),( 4 , 10 ) , ( 4, 8 ) , ( 4, 4 ) }

Mean = sum of observation / total number of observation.

samples Mean

10,10 10

10,8 9

10,4 7

8,10 9

8,8 8

8,4 6

4,10 7

4,8 6

4,4 4