20 The population of orders for printing jobs at a print shop is approximately n

Question

20 The population of orders for printing jobs at a print shop is approximately normal with a mean of 200 pages and a standard deviation of 40 pages. The shop is almost out of paper and it has five orders that must be finished before a shipment of paper can be expected. If the shop has 1,200 sheets of paper left, what is probability that the five orders will not exhaust the stock of paper?

a 0.9591

b 0.9641

c 0.9778

d 0.9875

Questions 21 and 22 are related

21 Consider the mean cost of getting a four-year college degree. The middle interval which captures 95% of mean costs from samples of 36 graduates is ($48,750, 53,650). What is the population mean cost of getting a college degree?

a $52,100

b $51,200

c $50,500

d $49,900

Explanation / Answer

X - N(200, 40^2)

P(X1+X2+..X5 < 1200)

Y = X1+X2+..X5

Z = (Y - 200*5 )/(40*sqrt(5))

P(Z < (1200- 1000)/(40*sqrt(5))

=P(Z< 2.23606)

= 0.9875

21)

mean = (48750 + 53650)/2 = 51200

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