A particular fruit's weights are normally distributed with a mean of 700 grams and a standard deviation of 6 grams. Suppose you pick 16 fruits at random. 12% of the time their mean weight will be greater than how many grams? Round your answer to the nearest integer.

A particular fruit's weights are normally distributed with a mean of 700 grams and a standard deviation of 6 grams. Suppose you pick 16 fruits at random. 12% of the time their mean weight will be greater than how many grams? Round your answer to the nearest integer.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A particular fruit's weights are normally distributed with a mean of 700 grams and a standard deviation of 6 grams.

Suppose you pick 16 fruits at random. 12% of the time their mean weight will be greater than how many grams?

Round your answer to the nearest integer.

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Expert Solution

Step 1

Given information-

Population mean, µ = 700 grams

Population standard deviation, σ = 6 grams

Sample size, n = 16

Let, X be the fruit’s weights are normally distributed.

We have to find how many grams of fruits are 12% of the time of their mean weight.

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