EWitte_Module03_WeeklyAssignment_102216.docx

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Name: Elizabeth Witte 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, ´ x = 984, s = 25. Explain. Solution: Based on the sample data, I believe that the hypothesis test involves a sampling distribution of means that is of the normal distribution. This is because we have the mean, standard deviation and parameters from our sample data for a normal distributed population. 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: H 0 : P = .13 Null Hypothesis H α : P ≠ .13 Alternative Hypothesis Test: Z = (.08 - .13) / √[(.13)(1-.13)/100] Z = -1.487 Critical Value = TINV(.05,100-1) Critical Value = 1.98 Test < Crit = -1.487 < 1.98 = fail to reject null
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