The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.1 mm. Suppose that 48 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N b. For the group of 48, find the probability that the average hand length is less than 187. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.1
mm. Suppose that 48 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of ? x ~ N(
b. For the group of 48, find the probability that the average hand length is less than 187.
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
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.1 mm. Suppose that 48 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? x ~ N( b. For the group of 48, find the probability that the average hand length is less than 187. 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
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