A manufacturer knows that their items have a lengths that are skewed right, with a mean of 12.4 inches, and standard deviation of 2.5 inches. If 46 items are chosen at random, what is the probability that their mean length is greater than 12.1 inches? (Round answer to four decimal places)

A manufacturer knows that their items have a lengths that are skewed right, with a mean of 12.4 inches, and standard deviation of 2.5 inches. If 46 items are chosen at random, what is the probability that their mean length is greater than 12.1 inches? (Round answer to four decimal places)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A manufacturer knows that their items have a lengths that are skewed right, with a mean of 12.4 inches,
and standard deviation of 2.5 inches.
If 46 items are chosen at random, what is the probability that their mean length is greater than 12.1
inches?
(Round answer to four decimal places)

Expert Solution

Step 1

From the provided information,

Mean (µ) = 12.4

Standard deviation (σ) = 2.5

Sample size (n) = 46

Step by step

Solved in 2 steps with 1 images

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