# Individual Assignment #10 – Only the Lonely

## Instructions

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.

4, 6, 10, 4, 8, 10, 4, 3, 2, 4, 3, 6, 0, 4, 2, 8, 4, 6, 8, 2, 5, 3, 5, 4, 12, 4, 6, 9, 10, 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 5
B 8
C 7
D 3

Your job is to determine if this sample (The average of agents A, B, C, and D) differ significantly from what you would expect given the population (the rest of the company).

### Attempt History

Attempt Time Score Attempt 1 30 minutes 8 out of 10 *

* Some questions not yet graded

Score for this attempt: 8 out of 10 *
Submitted Mar 27 at 8:11am
This attempt took 30 minutes.

Question 1

0.5 / 0.5 pts
State the null hypothesis

H0: The sample drawn from the population reflects the population, or M = µ

H0: The sample drawn from the population reflects the population, or M ≠ µ

Question 2

0.5 / 0.5 pts
State the alternative hypothesis

H1: The sample drawn from the population reflects the population, or M = µ

H1: The sample drawn from the population does not reflect the population, or M ≠ µ

Question 3

0.5 / 0.5 pts
Indicate the level of risk used in psychology

The level of risk is .05

The level of risk is .01

The level of risk is .5

The level of risk is .1

Question 4

0.5 / 0.5 pts
Determine the best statistical test to use

Z score test

Correlational test

Critical value test

ANOVA

One-sample Z test

T-test

IncorrectQuestion 5

0 / 1 pts
First, you’ll have to calculate the SEM. Use the formula in the book/lecture to calculate the SEM. Put your value below. Remember that you will need to calculate the population standard deviation first (remember to use n rather than n-1 for the population standard deviation calculation). Round your response out to two decimal places. Just put the value as your answer.

Question 6

1 / 1 pts

Now, Compute the test statistic (Use the formulas in the book / lecture to calculate the correct statistic). Which of the following is the correct value? Remember that you will need to calculate the population standard deviation first (remember to use n rather than n-1 for the population standard deviation calculation).

z = .20

z =1.06

z = 0.171

z = 0.05

Question 7

1 / 1 pts
The value needed to reject the null hypothesis (the critical value) is ___________.

3.25

0.05

1.96

2.10

Question 8

1 / 1 pts
Does the obtained value exceed the critical value (that is, is the obtained value larger than the critical value)?

Yes

No

Question 9

1 / 1 pts
Based on your answer to the previous question, the decision is to ____________

Reject the null hypothesis

Fail to reject the null hypothesis

Question 10

Not yet graded / 1 pts
Write up your results as you would see it in a results section of an empirical research paper:

Mean number of household sold by Pat’s company is not more than population

Question 11

1 / 1 pts

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 9
F 12
G 10
H 4

Question 12

1 / 1 pts
Does the new sample (above) significantly differ from the whole population?

No

Yes