Statistics problem test on paint?

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Johnny C

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12. The test on certain paint gave the following results for the coverage in square feet per
gallon: 150, 159, 162, 144, 155, 159, 161, 140, 154, and 146.
a) Construct 95% Confidence Interval for the mean coverage of this paint
b) Assume that the variance is known and that it is equal to ?2 = 49, establish a 90% confidence
interval for the mean.
c) If the variance is known and is equal to the value in part b, what is the probability that the
average coverage is greater than 150 square ft per gallon?
 
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