The lengths of adult males' hands are normally distributed with mean 188 mm and standard deviation is 7 mm. Suppose that 14 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? - N( 188 1.8708 or or b. For the group of 14, find the probability that the average hand length is more than 186. 0.8575 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? Yes No o

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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I need help with this 2 questions, subpart C on both of them, and how to solve it on TI84 calculator. Thank you.

The lengths of adult males' hands are normally distributed with mean 188 mm and standard deviation is 7
mm. Suppose that 14 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of x? - N( 188
1.8708
or
b. For the group of 14, find the probability that the average hand length is more than 186.
0.8575
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? Yes No o
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 188 mm and standard deviation is 7 mm. Suppose that 14 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? - N( 188 1.8708 or b. For the group of 14, find the probability that the average hand length is more than 186. 0.8575 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? Yes No o
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 131
and a standard deviation of about 57. Assume eleven individuals are randomly chosen. Answer the following
questions. Round all answers to 4 decimal places where possible.
a. What is the distribution of x? x N 131
17.1861
b. For the group of 11, find the probability that the average number of friends is more than 108.
0.9096 ✓ OB
c. Find the first quartile for the average number of Facebook friends.
d. For part b), is the assumption that the distribution is normal necessary? Yes No o
Transcribed Image Text:Suppose that the average number of Facebook friends users have is normally distributed with a mean of 131 and a standard deviation of about 57. Assume eleven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x? x N 131 17.1861 b. For the group of 11, find the probability that the average number of friends is more than 108. 0.9096 ✓ OB c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No o
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