escQuestion 8The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.5mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible.Hint:Some Helpful Videos:a. What is the distribution of ? - NIb. For the group of 44, find the probability that the average hand length is more than 197.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 No YesHint1F1▼●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 [+]@F2< >#80F3000000F4%F5MacBook AirAF6&F7DIIFB(DDF9)F10F11+F12

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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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6. A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 Number of 24 Women 1 20 2 35 3 13 4 7 5 1 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children. d. What is the first quartile of the number of children? e. What proportion of the women had more than the mean number of children? f. For what proportion of the women was the number of children more than one standard deviation greater than the mean? g. For what proportion of the women was the number of children within one standard deviation of the mean?
The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.3 mm. 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 No 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 Sums 2 [+]
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
> 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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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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