A manufacturer knows that their iterns have a lengths that are skewed right, with a mean of 16.6 inches, and standard deviation of 5.4 inches. If 33 items are chosen at random, what is the probability that their mean length is greater than 16.2 inches? (Round answer to four decimal places)

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Chapter1: Combinatorial Analysis
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Question 4
A manufacturer knows that their iterns have a lengths that are skewed right, with a mean of 16.6
inches, and standard deviation of 5.4 inches.
If 33 items are chosen at random, what is the probability that their mean length is greater than 16.2
inches?
(Round answer to four decimal places)
Oue
tv
80
888
F8
esc
FS
F2
F3
F4
F1
#
$
%
&
6
8
Transcribed Image Text:Question 4 A manufacturer knows that their iterns have a lengths that are skewed right, with a mean of 16.6 inches, and standard deviation of 5.4 inches. If 33 items are chosen at random, what is the probability that their mean length is greater than 16.2 inches? (Round answer to four decimal places) Oue tv 80 888 F8 esc FS F2 F3 F4 F1 # $ % & 6 8
Expert Solution
Step 1

Given data,μ=16.6σ=5.4If n=33P(X>16.2)=?

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