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In: Statistics and Probability

An engineer is running a plant test on Line 2 and claims that mean moisture content...

An engineer is running a plant test on Line 2 and claims that mean moisture content is out of
specification. The specification requires that mean moisture content to be 5%. The engineer
decided to collect moisture analyses on 10 samples during this testing period. These data
resulted in a mean value of 5.5% and a standard deviation of 1%. Using a test level of 0.005
and answer the following questions.
a. Does this set of data support the engineer’s claim at the specified test level?
b. If your conclusion in Part “a.” is wrong, what type of error did you make?
c. Give a 95% confidence interval for the mean moisture content.
d. With the conditions as given, what is the power if the true mean moisture content is
4.5%?
e. With the conditions as given, if the true mean moisture content is 4.0%, with a type 2
error of 0.05, how many samples should be taken? Use a sigma = 2.0%.

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