The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7 mm. Suppose that 42 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? N( 187 ✓ 1.0801 b. For the group of 42, find the probability that the average hand length is less than 189. 0.9680 c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. 182.28 X d. For part b), is the assumption that the distribution is normal necessary? Yes No Question Help: Written Example Message instructor Submit Question

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
Question
Part C only please. Thank you!
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7
mm. Suppose that 42 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of ? N 187
b. For the group of 42, find the probability that the average hand length is less than 189. 0.9680
c. Find the first quartile for the average adult male hand length for this sample size. Round to 2
decimal places. 182.28 X
d. For part b), is the assumption that the distribution is normal necessary? Yes No
Submit Question
✓
Question Help: Written Example Message instructor
0
1.0801
H
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7 mm. Suppose that 42 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? N 187 b. For the group of 42, find the probability that the average hand length is less than 189. 0.9680 c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. 182.28 X d. For part b), is the assumption that the distribution is normal necessary? Yes No Submit Question ✓ Question Help: Written Example Message instructor 0 1.0801 H
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning