The lengths of adult males' hands are normally distributed with mean 190 mm andstandard deviation is 7.4 mm. Suppose that 16 individuals are randomly chosen. Round allanswers to 4 where possible.a. What is the distribution of x? ¤ - N(b. For the group of 16, find the probability that the average hand length is less than189.c. Find the third quartile for the average adult male hand length for this sample size.d. For part b), is the assumption that the distribution is normal necessary? O YesO No

Given,sample size(n)=16mean(μ)=190standard deviation(σ)=7.4

Answered: The lengths of adult males' hands are…

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 average price of a college math textbook is $153 and the standard deviation is $29. Suppose that 8 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? I - N( b. For the group of 8, find the probability that the average price is between $138 and $147. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos:
The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( b. For the group of 10, find the probability that the average price is between $161 and $167. c. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ e. For part b), is the assumption that the distribution is normal necessary? YesO No
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> Question 4 The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N( b. For the group of 7, find the probability that the average hand length is more than 188. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O No Yes Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] . The Central Limit Theorem For ns [+] Hint Submit Question 40 % $ R 5 16 T 4- ^ 6 4+ Y 90 & BA 7 * U 19 144 8 ly 1 tio C I DII 9 DDI O P A
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The average price of a college math textbook is $154 and the standard deviation is $20. Suppose that 43 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? x NO b. For the group of 43, find the probability that the average price is between $152 and $157. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

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