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Crimini mushrooms are more common than white mushrooms, and they contain a high amount of copper,...

Crimini mushrooms are more common than white mushrooms, and they contain a high amount of copper, which is an essential element according to the U.S. Food and Drug Administration. A study was conducted to determine whether the weight of a mushroom is linearly related to the amount of copper it contains. A random sample of crimini mushrooms was obtained, and the weight (x, in grams) and the total copper content (y, in mg) was measured for each. You may assume that all of the assumptions for regression are valid. Please include three decimal places in all answers.The work for all of the parts will be submitted at the end of the question. The summry data is given below:

n = 30 SXX = 137.48 SYY = 5.778 SXY = 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 true mean copper concentration when the weight of the mushroom is 18.2 g.

b)Find a 95% prediction interval for the true copper 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 of copper (the amount that is in one bar of dark chocolate) when you eat one average Crimini mushroom? Be sure to mention which interval, from above.

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Expert Solution


milcah answered 10 months ago
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