The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.5 mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - NI b. 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? No Yes Hint:
The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.5 mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - NI b. 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? No Yes Hint:
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 8
The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.5
mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible.
Hint:
Some Helpful Videos:
a. What is the distribution of ? - NI
b. 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 Yes
Hint
1
F1
▼
●
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
< >
#
80
F3
000
000
F4
%
F5
MacBook Air
A
F6
&
F7
DII
FB
(
DD
F9
)
F10
F11
+
F12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3f191a8-a1b2-42ed-ac9e-32d60645d728%2F7489bf75-7721-44fd-9fd4-bad5f997f781%2F5hloed_processed.jpeg&w=3840&q=75)
Transcribed Image Text:esc
Question 8
The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.5
mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible.
Hint:
Some Helpful Videos:
a. What is the distribution of ? - NI
b. 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 Yes
Hint
1
F1
▼
●
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
< >
#
80
F3
000
000
F4
%
F5
MacBook Air
A
F6
&
F7
DII
FB
(
DD
F9
)
F10
F11
+
F12
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