1. Fortune publishes data on sales, profits, assets, stockholders' equity, market value, and earnings per share for the 500 largest U.S. industrial corporations every year. Assume that you want to select a simple random sample of 10 corporations from the Fortune 500 list. Use the last three digits in column 10 of the table of random numbers, beginning with 945. Read down the column and identify the numbers of the 10 corporations that would be selected. (Enter your answers as a comma-separated list.)

2. The following data are from a simple random sample.

6

8

10

7

10

13

(a)What is the point estimate of the population mean?

(b)What is the point estimate of the population standard deviation? (Round your answer to one decimal place.)

3. One of the questions on a survey asked adults a series of questions on attitudes toward automation. The results showed that 2,976 out of 4,135 respondents are worried about a future in which robots and computers can do many human jobs; 2,778 are worried about the development of algorithms that can evaluate and hire job candidates; and 2,231 are worried about the development of driverless vehicles. (Round your answers to four decimal places.)

(a)Develop a point estimate of the proportion of respondents who are worried about a future in which robots and computer can do many human jobs.

(b)Develop a point estimate of the proportion of respondents who are worried that the development of algorithms that can evaluate and hire job candidates.

(c)Develop a point estimate of the proportion of respondents who are worried about the development of driverless vehicles.

4. Consider a finite population with five elements labeled A, B, C, D, and E. Ten possible simple random samples of size 2 can be selected.

(a)List the 10 samples beginning with AB, AC, and so on. (Enter your answers as a comma-separated list.)

(b)Using simple random sampling, what is the probability that each sample of size 2 is selected? (Enter your probability as a fraction.)

(c)Assume random number 1 corresponds to A, random number 2 corresponds to B, and so on. List the simple random sample of size 2 that will be selected by using the random digits 9, 0, 3, 7, 3, 1, 5.