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Test whether the mean weight is less than 9.0 grams
A machine is set to fill a small bottle with 9.0 grams of medicine A sample of eight bottles revealed the following amounts (grams) in each bottle.
9.2
8.7
8.9
8.6
8.8
8.5
9.0
At the .01 significance level, can we conclude that the mean weight is less than 9.0 grams?
A. State the null hypothesis and the alternate hypothesis
B. How many degrees of freedom are there?
C. Give the decision rule
D. Compute the value of t. What is your decision regarding the null hypothesis?
E. Estimate the p-value.
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