(05.02 MC)  The amount people who pay for electric service v…

(05.02 MC)  The amount people who pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let x̄ be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of x̄? Show your work and justify your reasoning. (4 points) Part B: What is the shape of the sampling distribution of x̄? Justify your answer. (2 points) Part C: What is the probability that the average electric service paid by the sample of electric service customers will exceed $170? Show your work. (4 points) (10 points)

(04.02 MC)  An individual can win a bouncy ball by guessing…

(04.02 MC)  An individual can win a bouncy ball by guessing under which one of four cups the ball is located. After each guess, if the ball is won, a new ball is placed randomly under one of the four cups. If the ball is not won, then the ball is again placed randomly under one of the four cups. If an individual makes five guesses, what is the probability the individual will win a prize exactly two times? (3 points)

(06.06 MC)  Monthly private school tuition based on the aver…

(06.06 MC)  Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression line, ŷ = 265.9 + 93.4x, where ŷ represents the predicted monthly expense and x represents the average number of weeks in attendance. A child attends private school an average of 3.5 weeks and has a monthly cost of $595. What is the residual for the child? (3 points)

(06.07 LC)  The mean and standard deviation for number of ro…

(06.07 LC)  The mean and standard deviation for number of robberies in the U.S. from 2000 to 2015 are x̄ = 354,718 and sx = 28,803. The mean and standard deviation for number of assaults in the U.S. for the same time period are ȳ = 774,140 and sy = 44,910. The correlation coefficient is r = 0.84. Find the equation for the least-squares regression line for number of assaults compared with number of robberies. (4 points)

(06.06 MC)  Total points in a board game based on the averag…

(06.06 MC)  Total points in a board game based on the average number of hours played is predicted using the least-square regression line, ŷ = 280.3 + 85.7x, where ŷ represents the total points scored and x represents the average number of hours spent playing the game. A player plays the game for an average of 3 hours and has a point total of 550. What is the residual for the player? (3 points)