The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.4 mm. Suppose that 45 individuals are randomly chosen. Round all answers to 4 where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 45, find the probability that the average hand length is less than 189.  Find the third quartile for the average adult male hand length for this sample size.  For part b), is the assumption that the distribution is normal necessary?

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The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.1 mm. Suppose that 15 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? - N( b. For the group of 15, find the probability that the average hand length is less than 193. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? O Yes No

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 135 and a standard deviation of about 53. Assume fifty individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 50, find the probability that the average number of friends is less than 124.  Find the first quartile for the average number of Facebook friends.  For part b), is the assumption that the distribution is normal necessary?