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Submitted 142 days ago...
How to solve this sort of math problem
A) H0
b) H1
c) the test statistic (round to the nearest thousandth)
d) the critical value(s) (use the tables in the textbook to look up critical values)
e) the P-value (round to the nearest thousandth, use 0+ if necessary)
f) the conclusion (reject H0 or fail to reject H0)
g) the final conclusion stated in non-technical terms
Assume all requirements are met to complete each of the hypothesis tests. If a significance level is not given, think about the seriousness of a type I error to determine which level of significance to use
1.
The Hudson Valley Bottling Company distributes root beer in bottles labeled 32 oz. The company has set the machine that fills the bottles to slightly overfill them so that all bottles will have at least 32 ounces of root beer in them. The filling machine is set to put in 32.1 ounces in each bottle.
The Bureau of Weights and Measures randomly selects 50 of the filled bottles, measures their contents, and obtains a sample mean amount of root beer of 32 oz and a sample standard deviation of 0.75 oz. The Bureau knows the filling machine is set to put in 32.1 ounces in each bottle. Using a 0.01 significance level, should the Bureau of Weights and Measures contact the bottling company and have them check their filling machine, that is, is there evidence that the machine is putting in less than 32.1 ounces in the bottles on average? If the machine setting is off, the bottling company m
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