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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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