Expert answer:Hypothesis Testing with One Sample, statistics hom

Answer & Explanation:Please see attach file g310_mod03_homework1__1_.docx
g310_mod03_homework1__1_.docx

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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, ̅ = 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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