The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.3 mm. Suppose that 11 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? N 53.29 X, 2.2010 b. For the group of 11, find the probability that the average hand length is less than 183. 0.3409 X c. Find the first quartile for the average adult male hand length for this sample size. -0.68 X d. For part b), is the assumption that the distribution is normal necessary? No Yes o Hint: Some Helpful Videos: • 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 [+] Hint Submit Question

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Please help with A b and c
The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.3
mm. Suppose that 11 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of ? N 53.29
X, 2.2010
b. For the group of 11, find the probability that the average hand length is less than 183. 0.3409 X
c. Find the first quartile for the average adult male hand length for this sample size. -0.68 X
d. For part b), is the assumption that the distribution is normal necessary? No Yes o
Hint:
Some Helpful Videos:
• 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 [+]
Hint
Submit Question
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.3 mm. Suppose that 11 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? N 53.29 X, 2.2010 b. For the group of 11, find the probability that the average hand length is less than 183. 0.3409 X c. Find the first quartile for the average adult male hand length for this sample size. -0.68 X d. For part b), is the assumption that the distribution is normal necessary? No Yes o Hint: Some Helpful Videos: • 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 [+] Hint Submit Question
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