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# ______________________________________ Module 3 Homework Assignment 1. Determine whether the hypothesis test involves a sampling distribution of...

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Name:______________________________________ Module 3 Homework Assignment 1. Determine whether the hypothesis test involves a sampling distribuTon of means that is a normal distribuTon, Student t distribuTon or neither. ±he sample data appear to come from a normally distributed populaTon with σ = 28. Explain. Claim: μ = 977. Sample data: n = 25, ´ x = 984, s = 25. Explain. SoluTon: Instructor Comments: 2. In a sample of 100 M&M’s, it is found that 8% are brown. Use a 0.05 signiFcance level to test the claim that of the Mars candy company that the percentage of brown M&M’s is equal to 13%. IdenTfy the null and alternaTve hypotheses. SoluTon: Instructor Comments: 3. (Refer to problem 2) ²ind the test staTsTc. SoluTon: Instructor Comments: 4. (Refer to problem 2) Use the Standard Normal ±able to Fnd the p -value, criTcal value(s) and state the decision about the null hypothesis. SoluTon: Instructor Comments:
5. (Refer to problem 2) State the conclusion in non-technical terms. SoluTon: Instructor Comments: 6. ±est the claim that for the adult populaTon 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 signiFcance level of α = 0.05. State the null and alternaTve hypotheses. SoluTon: Instructor Comments: 7. (Refer to QuesTon 6) ²ind the test staTsTc. SoluTon: Instructor Comments: 8. (Refer to QuesTon 6) ²ind the criTcal value(s) and state decision about null hypothesis. SoluTon: Instructor Comments: 9. (Refer to QuesTon 6) State the conclusion in non-technical terms. SoluTon: Instructor Comments: 10. ²ind the criTcal value or values of χ 2 based on the given informaTon. H 1 : σ > 26.1, n = 9, α = 0.01 SoluTon: Instructor Comments:
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