Recall that Very satisfied customers give tie XYZ-Box video game system a rating

Question

Recall that Very satisfied customers give tie XYZ-Box video game system a rating that is at least 42 Suppose mat the manufacturer otthe XYZ-Box wishes to use Vie random sample of 67 saistacfion ratings to provide evidence supporting the daim mat me mean composite satisfaction ratng for me XYZ-Box exceeds 42 (a) Letting mu represent me mean composite satisfaction rating for me XYZ-Box set up me null hypomesis H_0 and me alternative hypotiesis H_a needed if we wish to attempt io provide evidence supporting the cliam that mub exceeds 42.

Explanation / Answer

a) H0:mu=42, H1:mu>42

b) Z=(Xbar-mu)/(sigma/sqrt N)=(42.9-42)/(2.68/sqrt 67)=2.75

Rejection points:

Z(0.10)=1.65

Z(0.05)=1.96

Z(0.01)=2.58

Z(0.001)=3.0902

c) p values are 0.00298, 0.00298, 0.00298, 0.00298

Since p value is less than all significance level, reject H0

d) There is strong evidence.

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