SOLUTION: A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed an average of 8.8 grams and a standard deviation of 0.23 grams.
(a) Compute
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-> SOLUTION: A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed an average of 8.8 grams and a standard deviation of 0.23 grams.
(a) Compute
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Question 1155919: A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed an average of 8.8 grams and a standard deviation of 0.23 grams.
(a) Compute the 95% confidence interval for the population mean µ.
(b) At 1% significance level, should we conclude that the mean weight is below 9.0 grams?
Specify your H0 and H1, the test you use, and your conclusions. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Ho: Weight is 9.0 gm or above
Ha: Weight is below 9.0 gm
alpha=0.01 P{reject Ho|Ho true}
test statistic is a t df=7 0.995
critical value t<3.499
calculation t=(8.8-9)/0.23/sqrt(8)
=-0.2*sqrt(8)/0.23=-2.45. Fail to reject Ho.
Conclude that at the 1% level that there is insufficient evidence to say that the filling is not 9.0 gm. (p-value=0.022)
