During the past six months, the purchasing agent bought:Tons of Coal 1,200 3,000 500Price Per Ton $28.50 $87.25 $88.00What is the weighted mean price per ton?
Answer(s): E
(1200*28.5)+(3000*87.25)+(500*88) = 339950. Mean = 339950/4700 = 72.33
Sixty percent of the customers of a fast food chain order the Whopper, fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?
Answer(s): D
This is a binomial probability. The probability of getting r successes out of n trials where the probability of success each trial is p and probability of failure each trial is q (where q = 1-p) is given by: n!(p^r)[q^(n-r)]/r!(n-r)!.Therefore, we need to find out the probability of getting 10, 11,12,13,14,15 successes and add them up. Here n=15, p=0.6 and q=0.4. r changes from 10 to 15.P(10 successes) = 15!(0.6^10)(0.4^5)/10!(15-10)! = 0.1859P(11 successes) = 15!(0.6^11)(0.4^4)/11!(15-11)! = 0.1268P(12 successes) = 15!(0.6^12)(0.4^3)/12!(15-12)! = 0.0634P(13 successes) = 15!(0.6^13)(0.4^2)/13!(15-13)! = 0.0219P(14 successes) = 15!(0.6^14)(0.4^1)/14!(15-14)! = 0.0047P(15 successes) = 15!(0.6^15)(0.4^0)/15!(15-15)! = 0.00047The sum of all the probabilities is 0.403.
What is the present value today of these annual cash flows: <$10,000>, $5,000, $4,000, $3,000, $2,000? Assume the first cash flow occurs today and an interest rate of 8% per year, compounded annually. (Note that the <> are used to indicate a negative number).
Answer(s): A
You could solve this question using several different compound interest problems, but it is easier to solve them using the calculator's cash flow functions. On the BAII Plus, press CF 2nd CLRWork 10000 +/- ENTER DownArrow 5000 ENTER DownArrow DownArrow 4000 ENTER DownArrow DownArrow 3000 ENTER DownArrow DownArrow 2000 ENTER DownArrow DownArrow 2nd Quit. Then press NPV 8 ENTER DownArrow CPT. On the HP12C, press these keys: 10000 CHS BlueShift CFo 5000 BlueShift CFj 4000 BlueShift CFj 3000 BlueShift CFj 2000 BlueShift CFj. Then press 8 i, YellowShift NPV. The "DownArrow" represents the downward-pointing arrow on the top row of the BAII Plus keyboard.
The number of work stoppages in a highly industrialized region for selected months are: 6, 0, 10, 14, 8 and 0.What is the median number of stoppages?
Order the observations: 0,0,6,8,10,14. The median is (6 + 8)/2 = 7
Which of the following is not one of the five steps in the hypothesis testing procedure?
Answer(s): C
The beta is determined by our choice of the decision rule and significance level. It is not determine on the outset.
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