Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.
| Treatments | ||||
|---|---|---|---|---|
| A | B | C | ||
| Blocks | 1 | 10 | 10 | 8 |
| 2 | 12 | 6 | 5 | |
| 3 | 18 | 15 | 14 | |
| 4 | 20 | 18 | 18 | |
| 5 | 8 | 7 | 8 | |
Use α = 0.05 to test for any significant differences.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
In: Statistics and Probability
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.
| Treatments | ||||
|---|---|---|---|---|
| A | B | C | ||
| Blocks | 1 | 10 | 9 | 8 |
| 2 | 12 | 6 | 5 | |
| 3 | 18 | 16 | 14 | |
| 4 | 20 | 18 | 18 | |
| 5 | 8 | 7 | 8 | |
Use α = 0.05 to test for any significant differences.
Find the value of the test statistic. (Round your answer to two decimal places.)
__________.
Find the p-value. (Round your answer to three decimal places.)
p-value = ________.
In: Statistics and Probability
Using these results, complete the table below and then use your results to answer the questions that follow. (Please remember to round all answers to two decimal places: 0.00 at each step.) (23 points)
|
X |
X-M |
(X-M)2 |
||
|
1 |
14 |
-15.85 |
251.22 |
|
|
2 |
16 |
-13.85 |
191.82 |
|
|
3 |
18 |
-11.85 |
140.42 |
|
|
4 |
20 |
-9.85 |
97.02 |
|
|
5 |
23 |
-6.85 |
46.92 |
|
|
6 |
23 |
-6.85 |
46.92 |
|
|
7 |
25 |
-4.85 |
23.52 |
|
|
8 |
27 |
-2.85 |
8.12 |
|
|
9 |
28 |
-1.85 |
3.42 |
|
|
10 |
29 |
-0.85 |
0.72 |
|
|
11 |
30 |
0.15 |
0.02 |
|
|
12 |
31 |
1.15 |
1.32 |
|
|
13 |
32 |
2.15 |
4.62 |
|
|
14 |
36 |
6.15 |
37.82 |
|
|
15 |
36 |
6.15 |
37.82 |
|
|
16 |
39 |
9.15 |
83.72 |
|
|
17 |
40 |
10.15 |
103.02 |
|
|
18 |
41 |
11.15 |
124.32 |
|
|
19 |
42 |
12.15 |
147.62 |
|
|
20 |
47 |
17.15 |
294.12 |
|
|
?X= 597 |
? (X-M) = 0 |
? (X-M)2= 1644.55 |
||
7. Complete the table below by calculating the relative performance ranges and then converting them to absolute performance.
Relative Performance Ranges
Really worse
worse
Typical
Better
Really better
Converted to Absolute Performance
|
Really worse worse Typical Better Really better |
||||
8. What is your interpretation of the performance of your class on this assessment? (4 points)
In: Statistics and Probability
MT scores: 11, 11, 16, 17, 19, 20, 21, 21 23 24 24 26 26 27 27 28 28 28 29 30 31 31 32 33 35 37 38 38 39 42 44
Questions for Class MT Score Distribution Analysis
1. Create a histogram of MT scores.
2. Describe the shape of the MT scores distribution.
3. Compute the mean and standard deviation.
4. Compute the 5-number summary.
5. Create a boxplot of MT scores.
6. Compute the probability that a randomly selected student from the class scored higher than 20.
7. Are the MT scores normally distributed? Why or why not?
8. Assuming a normal fit, compute the percentile of your score.
9. Compute your actual percentile from the raw data.
10. Do your computations for #8 and 9 support your answer to #7? Why or why not?
In: Statistics and Probability
Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D.
| Rate of Return | |||||||||||||
| Scenario | Market | Aggressive Stock A |
Defensive Stock D |
||||||||||
| Bust | –8 | % | –10 | % | –5 | % | |||||||
| Boom | 30 | 40 | 22 | ||||||||||
Required:
a. Find the beta of each stock.
b. If each scenario is equally likely, find the
expected rate of return on the market portfolio and on each
stock.
c. If the T-bill rate is 3%, what does the CAPM
say about the fair expected rate of return on the two stocks?
d. Which stock seems to be a better buy on the
basis of your answers to (a) through (c)?
In: Finance
A fund manager has a portfolio worth $50 million with a beta of 0.75. The manager is concerned about the performance of the market over the next two months and plans to use three-month futures contracts on a well-diversified index to hedge its risk. The current level of the index is 2,750, one contract is on 250 times the index, the risk-free rate is 6% per annum, and the dividend yield on the index is 2% per annum. a) What position should the fund manager take to eliminate all exposure to the market over the next two months? b) Calculate the effect of your strategy on the fund manager’s returns if the level of the market in two months is 2,700 and 2,800.
In: Finance
Wheat Chex leases a thresher from John Deere. The cost of the thresher is $2,000,000. The lease will last for two years. The company uses straight line depreciation over five years to depreciate the equipment. The estimated salvage value is $1,500,000. The corporate tax ratefc both firms is 40%. The cost of borrowing is 10% and the required rate of return is 15%.
Assume you are John Deere:
Round to the nearest dollar.
What is the after-tax salvage value?
What is the present value of the after-tax salvage value?
If the present value of the other non-SV cashflows is $1,000,000, what is the NAL of the lease?
In: Finance
Pacific Packaging's ROE last year was only 3%; but its management has developed a new operating plan that calls for a debt-to-capital ratio of 60%, which will result in annual interest charges of $128,000. The firm has no plans to use preferred stock and total assets equal total invested capital. Management projects an EBIT of $364,000 on sales of $4,000,000, and it expects to have a total assets turnover ratio of 2.6. Under these conditions, the tax rate will be 40%. If the changes are made, what will be the company's return on equity? Do not round intermediate calculations. Round your answer to two decimal places.
In: Finance
Pacific Packaging's ROE last year was only 4%, but its management has developed a new operating plan that calls for a debt-to-capital ratio of 40%, which will result in annual interest charges of $360,000. The firm has no plans to use preferred stock and total assets equal total invested capital. Management projects an EBIT of $1,164,000 on sales of $12,000,000, and it expects to have a total assets turnover ratio of 3.6. Under these conditions, the tax rate will be 25%. If the changes are made, what will be the company's return on equity? Do not round intermediate calculations. Round your answer to two decimal places.
In: Finance
In: Finance