QUESTION (please show your work so that I may understand how todo the problem) thanks Before you can calculate your teststatistic, you’ll have to calculate the SEM. Use the formula in thebook/lecture to calculate the SEM. Put your value below. Rememberthat you will need to calculate the population standard deviationfirst (remember to use n rather than n-1 for the populationstandard deviation calculation). Round your response out to twodecimal places, if you give more than two decimal places Canvas maycount your answer as wrong Pat is the manager of a real estategroup that is part of a larger real estate company. Here are thetotal number of home sales from 2018 for all the agents at theentire 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 herown real estate group, which has 4 agents (the sample, in thiscase), has sold more homes than the rest of the company (thepopulation). 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 thepopulation standard deviation first! Agent Number of Homes Sold in2018 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 reflectsthe population, or M = µ

b-H₀: The sample drawn from the population reflectsthe population, or M ? µ

2- State the alternative hypothesis

Group of answer choices

a-H₁: The sample drawn from the population does notreflect the population, or M ? µ

b-H₁: The sample drawn from the population reflectsthe 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 tocalculate the SEM. Use the formula in the book/lecture to calculatethe SEM. Put your value below. Remember that you will need tocalculate the population standard deviation first (remember to usen rather than n-1 for the population standard deviationcalculation). Round your response out to two decimalplaces, if you give more than two decimal places Canvas may countyour answer as wrong.

5-Now, Compute the test statistic (Use theformulas in the book / lecture to calculate the correctstatistic). 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, isthe 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 decisionis to ____________

Group of answer choices

a-Reject the null hypothesis

b-Fail to reject the null hypothesis