1. The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.3 mm. Suppose that 8 individuals are randomly chosen. Round all answers to 4 where possible.What is the distribution of x¯? x¯ ~ N(?,?)For the group of 8, find the probability that the average hand length is more than 193? Find the third quartile for the average adult male hand length for this sample size?For part b), is the assumption that the distribution is normal necessary? Yes or No

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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1. The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.3 mm. Suppose that 8 individuals are randomly chosen. Round all answers to 4 where possible.

What is the distribution of x¯? x¯ ~ N(?,?)
For the group of 8, find the probability that the average hand length is more than 193?
Find the third quartile for the average adult male hand length for this sample size?
For part b), is the assumption that the distribution is normal necessary? Yes or No

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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