MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 113 and a standard deviation of about 42. Assume forty-nine individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

a. What is the distribution of \(\bar{x}\)? \(\bar{x} \sim N\left(\, \square, \square \,\right)\)

b. For the group of 49, find the probability that the average number of friends is more than 121. \(\square\)

c. Find the first quartile for the average number of Facebook friends. \(\square\)

d. For part b), is the assumption that the distribution is normal necessary? ☐ Yes ☐ No
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Transcribed Image Text:Suppose that the average number of Facebook friends users have is normally distributed with a mean of 113 and a standard deviation of about 42. Assume forty-nine individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of \(\bar{x}\)? \(\bar{x} \sim N\left(\, \square, \square \,\right)\) b. For the group of 49, find the probability that the average number of friends is more than 121. \(\square\) c. Find the first quartile for the average number of Facebook friends. \(\square\) d. For part b), is the assumption that the distribution is normal necessary? ☐ Yes ☐ No
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