SOLUTION: A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the me

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Question 939174: A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of 70 bottles was 15.94 ounces. Do the data provide sufficient evidence to conclude that the mean amount of juice for all 16-ounce bottles, µ, is less than 16.1 ounces? Perform the appropriate hypothesis test using a significance level of 0.10. Assume that s = 0.9 ounces.  
A.
The z of - 1.49 provides sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.
B.
The z of - 1.49 does not provide sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.
C.
The z of - 0.1778 does not provide sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.
D.
The z of - 0.1778 provides sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: u =16.1 (claim)
Ha: u < 16.1
Sample: n = 70, mean = 15.94
s = .9
...
test stat z+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29 :
P(z <+-+.16%2F%28.9%2Fsqrt%2870%29%29%29) = (-100, -1.49) = .0681
....
significance level of 0.10.
.0681 < .10
reject Ho
A.
The z of - 1.49 provides sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.