The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7.3 mm. Suppose that 17 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N b. For the group of 17, find the probability that the average hand length is less than 188. c. Find the first quartile for the average adult male hand length for this sample size.

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Question 8
The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7.3
mm. Suppose that 17 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of ? - N
I
b. For the group of 17, find the probability that the average hand length is less 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? Yes No
Hint:
Some Helpful Videos:
< >
Finding the Sampling Distribution [+]
7
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
Transcribed Image Text:Question 8 The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7.3 mm. Suppose that 17 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N I b. For the group of 17, find the probability that the average hand length is less 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? Yes No Hint: Some Helpful Videos: < > Finding the Sampling Distribution [+] 7 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
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