4. A private-label bottler of soft drinks asks each of 60 members of a tasting panel (who are regarded as a random sample from millions of potential customers) to rate each of two possible formulations of a cola drink on a 100-point scale; higher scores are desirable. Formulation G is less expensive and will be used unless there is a clear evidence that formulation R is preferred. From the data, the bottler obtains the difference (R-G) in the ratings for each panelist. After conducting appropriate statistical tests on the mean of the differences in the ratings, the management of the private-label bottler concluded that the difference in the ratings is negligible. Consequently, they have decided to use formulation G which is less expensive. The data on the panelist’s ratings they have used is in the Excel data file named ‘Cola Ratings’. Using the same data and at 10% level of significance, please conduct the test you think the management’s decision must have been based on. Based on your results, do you agree with the management’s conclusion? Does your conclusion change at 5% level of significance?
| G | R |
| 57 | 62 |
| 46 | 58 |
| 85 | 81 |
| 80 | 88 |
| 95 | 84 |
| 31 | 54 |
| 56 | 44 |
| 40 | 65 |
| 52 | 37 |
| 26 | 51 |
| 93 | 76 |
| 54 | 43 |
| 67 | 64 |
| 42 | 59 |
| 29 | 51 |
| 81 | 70 |
| 35 | 49 |
| 59 | 61 |
| 44 | 57 |
| 84 | 97 |
| 34 | 55 |
| 49 | 44 |
| 73 | 86 |
| 74 | 89 |
| 44 | 52 |
| 41 | 49 |
| 72 | 61 |
| 60 | 48 |
| 48 | 69 |
| 92 | 87 |
| 64 | 77 |
| 52 | 47 |
| 58 | 66 |
| 84 | 80 |
| 60 | 50 |
| 49 | 38 |
| 96 | 74 |
| 20 | 49 |
| 42 | 19 |
| 36 | 58 |
| 69 | 48 |
| 44 | 56 |
| 37 | 59 |
| 57 | 29 |
| 31 | 62 |
| 74 | 51 |
| 85 | 79 |
| 19 | 52 |
| 33 | 76 |
| 48 | 80 |
| 88 | 84 |
| 72 | 64 |
| 45 | 58 |
| 36 | 42 |
| 64 | 85 |
| 77 | 75 |
| 28 | 22 |
| 93 | 87 |
| 45 | 48 |
| 50 | 40 |
In: Statistics and Probability
In: Operations Management
In 1997 a woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard (Genessey v. Digital Equipment Corporation). The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below.
| 39 | 60 | 75 | 115 | 135 | 140 | 149 | 150 |
| 236 | 290 | 340 | 410 | 600 | 750 | 750 | 750 |
| 1050 | 1100 | 1139 | 1150 | 1200 | 1200 | 1250 | 1572 |
| 1700 | 1825 | 2000 |
What is the maximum possible amount that could be awarded under
the "2-standard deviations rule"? (Round all intermediate
calculations and the answer to three decimal places.)
(in thousands of $)
In: Math
In 1997 a woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard (Genessey v. Digital Equipment Corporation). The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below. 39 60 75 115 135 140 149 150 236 290 340 410 600 750 750 750 1050 1100 1139 1150 1200 1200 1250 1578 1700 1825 2000 What is the maximum possible amount that could be awarded under the "2-standard deviations rule"? (Round all intermediate calculations and the answer to three decimal places.)
In: Math
In 1997 a woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard (Genessey v. Digital Equipment Corporation). The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below.
| 37 | 60 | 75 | 115 | 135 | 140 | 149 | 150 |
| 234 | 290 | 340 | 410 | 600 | 750 | 750 | 750 |
| 1050 | 1100 | 1139 | 1150 | 1200 | 1200 | 1250 | 1574 |
| 1700 | 1825 | 2000 |
What is the maximum possible amount that could be awarded under the "2-standard deviations rule"? (Round all intermediate calculations and the answer to three decimal places.)
In: Math
In 1997 a woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard (Genessey v. Digital Equipment Corporation). The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below.
| 39 | 60 | 75 | 115 | 135 | 140 | 149 | 150 |
| 238 | 290 | 340 | 410 | 600 | 750 | 750 | 750 |
| 1050 | 1100 | 1139 | 1150 | 1200 | 1200 | 1250 | 1574 |
| 1700 | 1825 | 2000 |
What is the maximum possible amount that could be awarded under
the "2-standard deviations rule"? (Round all intermediate
calculations and the answer to three decimal places.)
___________ (in thousands of $)
In: Math
In: Statistics and Probability
In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all
that money? One way to answer this question is to look at row
B, the annual company percentage increase in revenue,
versus row A, the CEO's annual percentage salary increase
in that same company. Suppose a random sample of companies yielded
the following data:
|
B: Percent increase for company |
8 | 4 | 6 | 18 | 6 | 4 | 21 | 37 |
| A: Percent
increase for CEO |
30 | 27 | 18 | 14 | -4 | 19 | 15 | 30 |
Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. (Let d = B − A.)
(a) What is the level of significance?
State the null and alternate hypotheses.
(b) What sampling distribution will you use? What assumptions are you making?
What is the value of the sample test statistic? (Round your
answer to three decimal places.)
(c) Find the P-value. (Round your answer to four decimal places.)
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
(e) Interpret your conclusion in the context of the application.
In: Statistics and Probability
Following are three economic states, their likelihoods, and the potential returns: Economic State Probability Return Fast growth 0.26 60% Slow growth 0.37 27 Recession 0.37 -39 Determine the standard deviation of the expected return.(Do not round intermediate calculations and round your answers to 2 decimal places)
In: Finance
2. What are the methods of estimating fair value according to SFAS no 157(2006)?
3. Explain Securitization and its structures like:
Pass-through securitizations
Estimation of prepayment risk
Tranched securitizations
In: Accounting