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, = 984, s = 25.Explain. Solution: 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: 3. (Refer to problem 2) Find the test statistic. Solution: 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: 5.(Refer to problem 2) State the conclusion in non-technical terms. Solution: 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, = $22,298, and s = $14,200. Use a significance level of α = 0.05. State the null and alternative hypotheses. Solution: 7.(Refer to Question 6) Find the test statistic. Solution: 8.(Refer to Question 6) Find the critical value(s) and state decision about null hypothesis. Solution: 9.(Refer to Question 6) State the conclusion in non-technical terms. Solution: 10. Find the critical value or values of χ2 based on the given information.H1: σ > 26.1, n = 9, α = 0.01 Solution: