The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.5 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible.What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)For the group of 7, find the probability that the average hand length is more than 189. Find the first quartile for the average adult male hand length for this sample size. For part b), is the assumption that the distribution is normal necessary? NoYes

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Answered: What is the distribution of ¯xx¯? ¯xx¯…

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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The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.5 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible.

What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 7, find the probability that the average hand length is more than 189.
Find the first quartile for the average adult male hand length for this sample size.
For part b), is the assumption that the distribution is normal necessary? NoYes

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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