Question

QUESTION (please show your work so that I may understand how to do the problem) thanks Before you can calculate your test statistic, 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, if you give more than two decimal places Canvas may count your answer as wrong 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 2018 for all the agents at the entire company. 4, 5, 10, 4, 6, 7, 9, 11, 3, 4, 8, 9, 2, 4, 3, 12, 4, 5, 6, 3, 8, 9, 8, 7, 10, 4, 5, 7, 8, 6. 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! Agent Number of Homes Sold in 2018 A 6 B 7 C 8 D 10

1- State the null hypothesis

Group of answer choices

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

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

2- State the alternative hypothesis

Group of answer choices

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

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

3- Determine the best statistical test to use

Group of answer choices

a-Critical value test

b-Z score test

c-Correlational test

d-one-sample Z test

4-Before you can calculate your test statistic, 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, if you give more than two decimal places Canvas may count your answer as wrong.

5-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?

Group of answer choices

a-z = 0.171

b-z =1.06

c-z = 3.505

d-z = 1.04

6- The value needed to reject the null hypothesis is ___________.

Group of answer choices

a-1.64

b-1.96

c-3.25

d-2.10

7-Does the obtained value exceed the critical value (that is, is the obtained value larger than the critical value)?

Group of answer choices

a-No

b-Yes

8- Based on your answer to the previous question, the decision is to ____________

Group of answer choices

a-Reject the null hypothesis

b-Fail to reject the null hypothesis

Answer 1

1. The null hypothesis

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

2. The alternative hypothesis

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

3. Best statistical test

One sample z test

As we are comparing sample mean with population mean , and the population standard deviation is known (we calculate) , we can use one sample z test.

4.

	x	(x-6.37)^2
	4	5.6169
	5	1.8769
	10	13.1769
	4	5.6169
	6	0.1369
	7	0.3969
	9	6.9169
	11	21.4369
	3	11.3569
	4	5.6169
	8	2.6569
	9	6.9169
	2	19.0969
	4	5.6169
	3	11.3569
	12	31.6969
	4	5.6169
	5	1.8769
	6	0.1369
	3	11.3569
	8	2.6569
	9	6.9169
	8	2.6569
	7	0.3969
	10	13.1769
	4	5.6169
	5	1.8769
	7	0.3969
	8	2.6569
	6	0.1369
sum/ss	191	204.967
mean =sum/30	6.366667
var=ss/30		6.832233
Sd=sqrt(var)		2.613854

Population mean ,

Population standard deviation ,

Standard error of mean , SEM=

sample mean, = (6+7+8+10)/4 = 7.75

5. Test statistic

  

= 1.06

6. The value needed to reject the null hypothesis is

1.96

The two tailed critical value of z at is 1.96

7.NO

the obtained value do not exceed the critical value

Obtailed value of z , z = 1.06

critical value , zc = 1.96

8. FAIL TO REJECT THE NULL HYPOTHESIS