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:

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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
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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