What is the present value today of these annual cash flows: $5,000, $4,000, $3,000, $2,000, $1,000? Assume the first cash flow occurs 1 year from today and an interest rate of 8% per year, compounded annually.
Answer(s): D
You could solve this question using 5 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 0 ENTER DownArrow 5000 ENTER DownArrow DownArrow 4000 ENTER DownArrow DownArrow 3000 ENTER DownArrow DownArrow 2000 ENTER DownArrow DownArrow 1000 ENTER DownArrow DownArrow 2nd Quit. Then press NPV 8 ENTER DownArrow CPT. On the HP12C, press these keys: 0 BlueShift CFo 5000 BlueShift CFj 4000 BlueShift CFj 3000 BlueShift CFj 2000 BlueShift CFj 1000 BlueShift CFj. Then press 8 i, YellowShift NPV. The "DownArrow" represents the downward-pointing arrow on the top row of the BAII Plus keyboard.
Which of the following are true assumptions underlying linear regression?(1) For each value of X, there is a group of Y values which are normally distributed (2) The means of these normal distributions of Y values all lie on the straight line of regression (3) The standard deviations of these normal distributions are equal
Answer(s): A
All are part of the assumptions of the linear regression. Make sure you know all the assumptions.
The average cost of tuition, room and board at a small private liberal arts college is reported to be $8,500 per term, but a financial administrator at Moravian College believes that the average cost is much higher. A study was conducted using 150 small liberal arts colleges and findings showed that the average cost per term is $9,000 with a standard deviation of $1,200. Let alpha = 0.05. The Ho: Mu less than or equal to $8,500. H1: Mu is bigger than $8,500.What is the critical z-value for this test?
Answer(s): C
From the hypothesis, this is a one tailed test. Since alpha is 0.05. We have 0.05, which gives us a z value of +/1.645. From the Ho we see that the rejection region lies to the right of the mean, so the critical value is +1.645.
Which of the following is/are true?
Answer(s): E
A sample can have multiple modes, corresponding to all the numbers which appear with the maximum frequency. Note that the mode is not affected by outliers unless an extreme value occurs frequently. In such a case, it is likely that the observed data contain large errors and hence, it must be reexamined. (I) holds for the median not the mode i.e. there are as many values above the median as below it. (II) holds for the mean i.e. the sum of the differences between the observations in a sample and the mean of the sample equals zero.
If the level of confidence is lowered from 95% to 90%, but the allowable error and the standard deviation remain the same, what happens to the required sample size?
Answer(s): B
This is related to the degree or confidence and the maximum error allowed. If you want to have a lower degree of confidence, you can have a smaller sample size (given that the standard deviation is constant). If you want 100% confidence, you want to use the whole population as your sample.
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