Name THQ #8 A manufacturer dlaims that the mean amount of juice in its standard

Question

Name THQ #8 A manufacturer dlaims that the mean amount of juice in its standard size bottle is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than 16.1 ounces. The mean volume of juice for a random sample of 70 bottles was 15.94 ounces. Assume that o- 0.9onces 1. Perform the appropriate hypothesis test using a signficance level of 5%. Show all 5 steps 2. Suppose the level of significance for the hypothesis test in #1 was 0.10, would the conclusion be the same or different? Why 3

Explanation / Answer

Answer solved in detail, with 5 -step process:

1.

Ho: mu = 16.1

Ha: mu < 16.1

alpha = .05

n = 70

Xbar = 15.94

Sigma = .9

Z = Xbar-Mu / (Sigma/sqrt(n)) = (15.94-16.1)/(.9/sqrt(70) = -1.487

Now, P(Z<-1.487) = 0.06851

Since, this p-value of .06851 is not less than alpha = .05, we conclude that we fail to reject Ho: Mu = 16

Hence, the consumer advocacy' claim that Mu < 16 is wrong.

2. Our p-value of .06851 is less than .10 , therefore at this alpha we reject Ho and conclude that the claim of

consumer advocacy is right. I.e. the conclusion is opposite to 1)

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