Question 465601: Problem 9.52
At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
A) Which sampling distribution would you use if random supplies of 10 bottles are to be weighed?
B) Set up hypotheses and a two-tailed decision rule for the correct mean using the 5% level of significance.
C) If sample of 16 bottles shows a mean fill of 515ml, does this contradict the hypothesis that the true mean is 520ml?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
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A) Which sampling distribution would you use if random supplies of 10 bottles are to be weighed?
I'll leave that to you.
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B) Set up hypotheses and a two-tailed decision rule for the correct mean using the 5% level of significance.
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Ho: u = 520 ml
Ha: u is not 520 ml
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Reject Ho is the test statistic is greater than 1.96 or less than -1.96
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C) If sample of 16 bottles shows a mean fill of 515ml, does this contradict the hypothesis that the true mean is 520ml?
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t(515) = (515-520)/[s/sqrt(16)]
Comment: No standard deviation is given so no conclusion is possible.
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Cheers,
Stan H.
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