Question

Pat is the manager of a real estate group that is part of a larger real estate company. Here are the total number of home sales from 2019 for all the agents at the entire company.

15

20

3

5

6

8

9

10

10

4

5

6

9

4

3

14

2

5

8

Pat wants to know if her own real estate group, which has 4 agents (the sample, in this case), has sold more homes than the rest of the company (the population). Your job is to tell me if these four agents (agents A, B, C, and D) differ in number of home sales from the population (the entire company). Remember that you need to calculate the population standard deviation first!

Home Sold per Agent

Agent	Number of homes sold in 2019
A	10
B	8
C	4
D	6

SEM: 2.27

z =- 0.30

Critical value: 1.96

QUESTION: NOW, imagine we selected the following individuals (agents E, F, G, and H) from a different group from the same overall the real estate company (from the same population). Does this group significantly differ from the population (entire company)? What is the z value? Round your answer out to two decimal places.

Homes Sold per Agent in 2018

Agent	Number of homes sold in 2018
E	14
F	10
G	22
H	4

Answer 1

The total number of home sales from 2019 for all the agents at the entire company is given by

15,20,3,5,6,8,9,10,10,4,5,6,9,4,3,14,2,5,8

The average of Agents A,B,C,D is given by

and also given that

SEM: 2.27

z =- 0.30

Critical value: 1.96

And The average of Agents E,F,G,H in 2018 is given by

The value of Z can be calculated as

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