## Business G310/Sta31 Module 3 Homework Assignment

Name: ______________________________________Module 3 Homework Assignment1. Determine whether the hypothesis test involves a sampling distribution of means that is a normaldistribution, Student t distribution or neither. The sample data appear to come from a normallydistributed population with ? = 28. Explain. Claim: ? = 977. Sample data: n = 25,´x = 984, s = 25. Explain. Solution: Instructor Comments: 2. In a sample of 100 M&,M’s, it is found that 8% are brown. Use a 0. 05 significance level to test theclaim that of the Mars candy company that the percentage of brown M&,M’s is equal to 13%. Identifythe null and alternative hypotheses. Solution: Instructor Comments: 3. (Refer to problem 2) Find the test statistic. Solution: Instructor Comments: 4. (Refer to problem 2) Use the Standard Normal Table to find the p-value, critical value(s) and state thedecision about the null hypothesis. Solution: Instructor Comments: 5. (Refer to problem 2) State the conclusion in non-technical terms. Solution: Instructor Comments: 6. Test the claim that for the adult population of one town, the mean annual salary is given by ? =30,000. Sample data are summarized as n = 17, = $22,298, and s = $14,200. Use a significance level ofx? = 0. 05. State the null and alternative hypotheses. Solution: Instructor Comments: 7. (Refer to Question 6) Find the test statistic. Solution: Instructor Comments: 8. (Refer to Question 6) Find the critical value(s) and state decision about null hypothesis. Solution: Instructor Comments: 9. (Refer to Question 6) State the conclusion in non-technical terms. Solution: Instructor Comments: 10. Find the critical value or values of ?2 based on the given information. H1: ? >, 26. 1, n = 9, ? = 0. 01Solution: Instructor Comments:

## BUSINESS G310/STA31 Module 3 Homework Assignment

uestion

Name:______________________________________

Module 3 Homework Assignment

1. Determine whether the hypothesis test involves a sampling distribution of means that is a normal

distribution, Student t distribution or neither. The sample data appear to come from a normally

distributed population with ? = 28. Explain.

Claim: ? = 977.

Sample data: n = 25,

´x = 984, s = 25. Explain.

Solution:

Instructor Comments:

2. In a sample of 100 M&M’s, it is found that 8% are brown. Use a 0.05 significance level to test the

claim that of the Mars candy company that the percentage of brown M&M’s is equal to 13%. Identify

the null and alternative hypotheses.

Solution:

Instructor Comments:

3. (Refer to problem 2) Find the test statistic.

Solution:

Instructor Comments:

4. (Refer to problem 2) Use the Standard Normal Table to find the p-value, critical value(s) and state the

decision about the null hypothesis.

Solution:

Instructor Comments:

5. (Refer to problem 2) State the conclusion in non-technical terms.

Solution:

Instructor Comments:

6. Test the claim that for the adult population of one town, the mean annual salary is given by ? =

30,000. Sample data are summarized as n = 17, = $22,298, and s = $14,200. Use a significance level of

x

? = 0.05. State the null and alternative hypotheses.

Solution:

Instructor Comments:

7. (Refer to Question 6) Find the test statistic.

Solution:

Instructor Comments:

8. (Refer to Question 6) Find the critical value(s) and state decision about null hypothesis.

Solution:

Instructor Comments:

9. (Refer to Question 6) State the conclusion in non-technical terms.

Solution:

Instructor Comments:

10. Find the critical value or values of ?2 based on the given information. H1: ? > 26.1, n = 9, ? = 0.01

Solution:

Instructor Comments:

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