Hypothsis Testing

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Mathematics

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The Module 03 Homework assignment covers Chapter 8: Hypothesis Testing with One Sample. This chapter provides you with important concepts for testing a hypothesis about a population mean, population proportion, and population standard deviation/variance.

For the Module 03 Homework, please download the Microsoft Word document using the link below and follow the directions included in the assignment.

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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 σ = 28. Explain. Claim: μ = 977. Sample data: n = 25, 𝑥̅ = 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 μ = 30,000. Sample data are summarized as n = 17, x = $22,298, and s = $14,200. Use a significance level of α = 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 χ2 based on the given information. H1: σ > 26.1, n = 9, α = 0.01 Solution: Instructor Comments:
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Running head: Hypothesis test
1

Hypothesis Test

Name of Student

Institutional Affiliation

Date

Hypothesis test
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Name:______________________________________

Module 3 Homework Assignmen
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 σ = 28. Explain.
Claim: μ = 977.
Sample data: n = 25, 𝑥̅ = 984, s = 25. Explain.

Solution:

Instructor Comments:

The hypothesis test comes from neither since the
sample size and standard deviati...


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