A manufacturer produces 54-pound lifting weights. The lowest actual weight is 40 pounds, and the highest is 74 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 49 weights is taken

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A manufacturer produces 54-pound lifting weights. The lowest actual weight is 40 pounds, and the highest
is 74 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 49 weights
is taken
al What is the distribution for the weights of one 54 pound tifting weight?Select an answerv
What is the mean
and standard deviation
2 (Round
to four decimat ptates)
-bWhat is the distribution for the mean weights of 49 54-pound lifting weight? Select an answer
Wirat ts the mean
Round to four decimal places)
and the standard deviation of
c) Find the probability that the mean actual weight for the 49 weights is less than 60.08 15
(Round to four dectmat ptaces)
d) Find the probability that the mean actual weight for the 49 weights is greater than 55.32 is
(Round to four decimal places)
e) Find the 60th percentile for the mean weight for the 49 weights
(Round to
two decimal places)
f) Find the upper 24th percentile for the mean weight for the 49 weights
(Round to two decimal places)
Transcribed Image Text:A manufacturer produces 54-pound lifting weights. The lowest actual weight is 40 pounds, and the highest is 74 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 49 weights is taken al What is the distribution for the weights of one 54 pound tifting weight?Select an answerv What is the mean and standard deviation 2 (Round to four decimat ptates) -bWhat is the distribution for the mean weights of 49 54-pound lifting weight? Select an answer Wirat ts the mean Round to four decimal places) and the standard deviation of c) Find the probability that the mean actual weight for the 49 weights is less than 60.08 15 (Round to four dectmat ptaces) d) Find the probability that the mean actual weight for the 49 weights is greater than 55.32 is (Round to four decimal places) e) Find the 60th percentile for the mean weight for the 49 weights (Round to two decimal places) f) Find the upper 24th percentile for the mean weight for the 49 weights (Round to two decimal places)
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