Crimini mushrooms are more common than white mushrooms, and theycontain a high amount of copper, which is an essential elementaccording to the U.S. Food and Drug Administration. A study wasconducted to determine whether the weight of a mushroom is linearlyrelated to the amount of copper it contains. A random sample ofcrimini mushrooms was obtained, and the weight (x, in grams) andthe total copper content (y, in mg) was measured for each. You mayassume that all of the assumptions for regression are valid. Pleaseinclude three decimal places in all answers.Thework for all of the parts will be submitted at the end of thequestion. The summry data is given below:
n = 30 SXX = 137.48 SYY = 5.778SXY = 21.29 MSE = 0.0885 x̄ = 15.993
The line is
ŷ = -1.204 + 0.155 x
a) Find a 95% confidence interval for the truemean copper concentration when the weight of the mushroom is 18.2g.
b)Find a 95% prediction interval for the truecopper concentration when the weight of the mushroom is 18.2 g.
c) A value of 18.2 g is the size of an average Crimini mushroom.Is there any evidence to suggest that the you will get 1.9 mg ofcopper (the amount that is in one bar of dark chocolate) when youeat one average Crimini mushroom? Be sure to mention whichinterval, from above.
