Problem #3: Please answer parts a and b. The weight of a sophisticated running shoe is normally distributed with a mean of 13 ounces.(a)What must the standard deviation of weight be in order for the company to state that 95% of its shoes weight less than 14 ounces?(b)Suppose that the standard deviation is actually 0.83. If we sample 8 such running shoes, find the probability that exactly 3 of those shoes weigh more than 14 ounces. Problem #3: The weight of a sophisticated running shoe is normally distributedwith a mean of 13 ounces.(a) What must the standard deviation of weight be in order for thecompany to state that 95% of its shoes weight less than 14ounces?(b) Suppose that the standard deviation is actually 0.83. If wesample 8 such running shoes, find the probability that exactly 3of those shoes weigh more than 14 ounces.

Given, Let X be the weight of a sophisticated running shoe. X is normally distributed. Mean (μ)=13…

Answered: Problem #3: Please answer parts a and…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem #3: Please answer parts a and b.

The weight of a sophisticated running shoe is normally distributed with a mean of 13 ounces.

(a)	What must the standard deviation of weight be in order for the company to state that 95% of its shoes weight less than 14 ounces?

(b)	Suppose that the standard deviation is actually 0.83. If we sample 8 such running shoes, find the probability that exactly 3 of those shoes weigh more than 14 ounces.

Problem #3: The weight of a sophisticated running shoe is normally distributed
with a mean of 13 ounces.
(a) What must the standard deviation of weight be in order for the
company to state that 95% of its shoes weight less than 14
ounces?
(b) Suppose that the standard deviation is actually 0.83. If we
sample 8 such running shoes, find the probability that exactly 3
of those shoes weigh more than 14 ounces.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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