Suppose that the average number of Facebook friends users have is normally distributed with a mean of 122 and a standard deviation of about 43. Assume ten individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x? a - N( b. For the group of 10, find the probability that the average number of friends is less than 118. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? NoO Yes

Q: Calculate the mean, standard deviation, and variance for the following five scores: 9, 4, 7, 1, 4.

A: Considering the scores as population. The population mean is, μ=∑XN=9+4+7+1+45=255=5 Thus, the…

Q: The highway mileage (mpg) for a sample of 8 different models of a car company can be found below.…

A: The highway mileage (mpg) for a sample of 8 different models of a car company is given as:19, 23,…

Q: 500 freshmen at Prairieville High School took an algebra test.  The scores were normally distributed…

A: According to the Bartleby guidelines experts solve only one question and maximum three subparts…

Q: At a fishery, the largest catches in August were of blackfin tuna, sailfish, blue marlin, and king…

A: Given Blackfin tuna  SD=2.61  Sailfish  SD=4.61 Blue marlin  SD=1.97 King mackerel SD=6.67

Q: The data in hours was collected by subtracting 5 from each observation while examining the drying…

A:

Q: The average production cost for major movies is 66 million dollars and the standard deviation is 18…

A: Mean()=66Standard deviation()=18Sample size(n)=50

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.