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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( 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? 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 Sums [+] Hint Submit Question

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( 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? 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 Sums [+] Hint Submit Question

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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> 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
Transcribed Image Text:> 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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