The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.3mm. Suppose that 46 individuals are randomly chosen. Round all answers to 4 where possible.a. What is the distribution of x? ¤ - N(b. For the group of 46, find the probability that the average hand length is more than 188.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 NoHint: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 Sums 2 [+]

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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 $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
The average price of a college math textbook is $175 and the standard deviation is $23. Suppose that 14 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ¯ x ? ¯ x ~ N b. or the group of 14, find the probability that the average price is between $170 and $179. c. Find the third quartile for the average textbook price for this sample size
The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7.5 mm. Suppose that 17 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 17, find the probability that the average hand length is more than 184. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? Yes No
> 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
The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.4 mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? I - N( b. For the group of 44, find the probability that the average hand length is more than 189. 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? No Yes Submit Ouortion
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A population has a normal distribution. A sample size of n is selected from this popuiation. Descriee theshape of the sampling distribution Of the sampre mean for eaen of the foliaung cars. a.73D23 b.n=450
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)
The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.4 mm. Suppose that 8 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ¤ - N( b. For the group of 8, find the probability that the average hand length is less than 189. 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 NoO Yes
The average price of a college math textbook is $167 and the standard deviation is $21. Suppose that 9 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 9, find the probability that the average price is between $160 and $164. c. Find the third quartile for the average textbook price for this sample size. S (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? Yes No
The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.4 mm. Suppose that 40 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? ¤ - N( b. For the group of 40, find the probability that the average hand length is less than 189. 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 YesO No

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