Pumpkin weights have a mean of 18 lbs and a standard deviation of 6 lbs!” Assume that the weight of the basket does not add significantly to the weight. (a) Describe the sampling distribution of ?̅, the mean weight of the pumpkins: (Shape, center, dispersion): (b) If the basket contains 12 pumpkins, what is the probability that the mean weight is less than 20 lbs? (c) If the basket contains 45 pumpkins, what is the probability that the mean weight is more than 20 lbs?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You are at a carnival and walk by the “Guess the Weight” game booth. Today’s item is a basket of pumpkins.
You think to yourself: “Pumpkin weights have a mean of 18 lbs and a standard deviation of 6 lbs!” Assume that
the weight of the basket does not add significantly to the weight.
(a) Describe the sampling distribution of ?̅, the mean weight of the pumpkins: (Shape, center, dispersion):
(b) If the basket contains 12 pumpkins, what is the probability that the mean weight is less than 20 lbs?
(c) If the basket contains 45 pumpkins, what is the probability that the mean weight is more than 20 lbs?

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