# Question: You have a factory with 40 production machines that are

You have a factory with 40 production machines that are essentially identical, each producing at a mean daily rate of 100 products with a standard deviation of 15. You may assume that they produce independently of one another. Consider the average daily production per machine tomorrow, which is a random variable.

a. Find the mean of this random variable. Compare it to the mean for a single machine.

b. Find the standard deviation of this random variable. Compare it to the standard deviation for a single machine.

c. What is the approximate probability distribution of this random variable? How do you know?

d. Find the (approximate) probability that your average daily production per machine will be more than 102 products tomorrow.

e. Find the (approximate) probability that your average daily production per machine will be between 97 and 103 products tomorrow.

a. Find the mean of this random variable. Compare it to the mean for a single machine.

b. Find the standard deviation of this random variable. Compare it to the standard deviation for a single machine.

c. What is the approximate probability distribution of this random variable? How do you know?

d. Find the (approximate) probability that your average daily production per machine will be more than 102 products tomorrow.

e. Find the (approximate) probability that your average daily production per machine will be between 97 and 103 products tomorrow.

## Answer to relevant Questions

Consider the profits as a percent of revenue for a group of companies involved in petroleum and/or mining, as shown in Table 8.6.2. a. Construct a sampling frame, viewing this list as a population of large petroleum and/or ...A random sample of 50 recent patient records at a clinic shows that the average billing per visit was $53.01 and the standard deviation was $16.48. a.* Find the standard error of the average and interpret it. b. You feel ...Randomly selected consumers in four cities have been interviewed as part of a study by a shoe retailer. Each consumer reported the number of pairs of shoes in his or her closet (each line represents one city) (Table ...Do exercise 3 using the experiences instead of the salaries. a. Find the population mean for salary. b. Compare this population mean to the sample average for salary. In particular, how many standard errors apart are ...Why is it correct to say, “We are 95% sure that the population mean is between $15.85 and $19.36” but not proper to say, “The probability is 0.95 that the population mean is between $15.85 and $19.36”?Post your question