The average price of a college math textbook is $171 and the standard deviation is $28. Suppose that 50 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? a - N( b. For the group of 50, find the probability that the average price is between $174 and $176. c. Find the third quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No

Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places. μ=49 and σ=12; n=46; x¯=52

= 2 = 3 6. 7 10 For a large, top-rated corporation, 99% of employees said the corporation is a great place to work. Suppose that we will take a random sample of 8 employees. Let p represent the proportion of employees from the sample who said the corporation is a great place to work. Consider the sampling distribution of the sample proportion p. Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed. (a) Find ua (the mean of the sampling distribution of the sample proportion). (b) Find on (the standard deviation of the sampling distribution of the sample proportion).

Construct a probability distribution for the sum shown on the faces when two dice, each with 8 faces, are rolled. 1. Find the mean. Round your answer to one decimal place as needed. Do not round intermediate steps. 2. Find the variance and standard deviation.