Suppose that you have applied to two graduate schools and believe that you have a 0.6 probability of being accepted by school C, a 0.7 probability of being accepted by school D, and a 0.5 probability of being accepted by both.
A) Events (accepted by school C) and (accepted by school D) are independent. True or False
B) Events (accepted by school C) and (accepted by school D) are disjoint. True or False
In: Statistics and Probability
A random sample of 80 baby boys, show they weighed 3000 grams on average with a standard deviation of 100, at birth. While a random sample of 60 baby girls show they weighed 2800 grams on average with a standard deviation of 70. In order to test the hypothesis that if baby boys and girls weights have the same variance or not, what is the value of test statistic?
A) 2.041
B) 0.490
C) 0.7
D) 1.429
In: Statistics and Probability
Show step by step solution please.
A sled weighing 100 N is pulled horizontally across a frozen lake
such that the coefficient of kinetic friction between the sled and
the snow is 0.1. Penny is riding the sled and she weighs 195 N. If
the coefficient of static friction between Penny and sled is 0.7,
find the maximum horizontal force which can be applied to the sled
before she begins to slide off.
In: Physics
Samples of peanut butter produced by three different manufactures are tested for aflatoxin (ppb), with the following results:
|
Brand 1 |
Brand 2 |
Brand 3 |
|
0.5 |
2.5 |
3.3 |
|
6.3 |
1.8 |
1.5 |
|
1.1 |
3.6 |
0.4 |
|
2.7 |
5.2 |
4.8 |
|
5.5 |
1.2 |
2.2 |
|
4.3 |
0.7 |
1.1 |
Use the 0.05 level of significance to test whether the differences among the 3 sample means are significant.
In: Math
In 2011-2015, mutual fund manager, Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison.
| 2011 | 2012 | 2013 | 2014 | 2015 | |
| Fund | −1.3 | +24.2 | +40.2 | +11.2 | +0.4 |
| Market index | −0.7 | +14.0 | +31.2 | +10.5 | −0.5 |
Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each.
In: Finance
Please show the steps how the risk premiums are calculated for y1=4.22% and y2=10.9%
Suppose there are two independent economic factors,
M1 and M2. The risk-free
rate is 6%, and all stocks have independent firm-specific
components with a standard deviation of 50%. Portfolios A
and B are both well diversified.
| Portfolio | Beta on M1 | Beta on M2 | Expected Return (%) |
| A | 1.6 | 2.5 | 40 |
| B | 2.4 | -0.7 | 10 |
What is the expected return–beta relationship in this economy?
(Do not round intermediate calculations. Round your answers
to 2 decimal places.)
rev: 04_04_2019_QC_CS-164824
Explanation
E(rP) = rf +
βP1[E(r1)
– rf] +
βP2[E(r2) –
rf]
We need to find the risk premium for these two factors:
γ2γ2 = [E(r1) –
rf] and
γ2γ2 = [E(r2) –
rf]
To find these values, we solve the following two equations with two unknowns:
40% = 6% + 1.6 γ1γ1 + 2.5 γ2γ2
10% = 6% + 2.4 γ1γ1 + (–0.7) γ2γ2
The solutions are: γ2γ2 = 4.22% and γ2γ2 = 10.90%
Thus, the expected return-beta relationship is:
E(rP) = 6% + 4.22βP1 + 10.90βP2
In: Finance
WHC, SRG and MRR are three different companies but follow similar business models. Analyse the liquidity risk exposure and solvency risk exposure for these three firms between 2018 and 2019.
|
WHC |
SRG |
MRR |
||||
|
2019 |
2018 |
2019 |
2018 |
2019 |
2018 |
|
|
Current ratio |
2.4 |
2.3 |
1.9 |
0.9 |
1.9 |
1.1 |
|
Quick ratio |
1.7 |
1.6 |
0.7 |
0.6 |
0.9 |
0.7 |
|
Days accounts receivable outstanding |
2 |
4 |
37 |
37 |
38 |
37 |
|
Days inventory held |
72 |
61 |
71 |
68 |
73 |
70 |
|
Days accounts payable outstanding |
26 |
22 |
44 |
38 |
44 |
38 |
|
Liabilities to assets ratio |
0.591 |
0.469 |
0.495 |
0.497 |
0.495 |
0.497 |
|
Liabilities to shareholders’ equity ratio |
1.443 |
1.448 |
0.979 |
0.999 |
0.979 |
0.999 |
|
Long term debt to long-term capital ratio |
0.454 |
0.461 |
0.120 |
0.131 |
0.140 |
0.151 |
|
Long term debt to shareholders’ equity ratio |
0.831 |
0.855 |
0.136 |
0.151 |
0.136 |
0.151 |
|
Interest coverage ratio |
7.2 |
7.6 |
17 |
17.3 |
19 |
18.3 |
In: Accounting
A reporter with the Saint Pete Times is working on a story about the main factors making restaurants in the St. Pete area different from each other. The variable he is considering is the average meal price per person. The reporter selects a sample of 4 restaurants serving Italian food, Seafood and Steaks. The reporter believes that average price meal per person in the St Pete area is about the same independently of the type of restaurant. The table below shows sample mean and variances for collected data in dollars. Allow for an alpha of 0.1
| ITALIAN | SEAFOOD | STEAKHOUSE | |
| SAMPLE MEAN | 24 | 24 | 27 |
| SAMPLE VARIANCE | 0.7 | 8.7 | 0.7 |
5.B) What is the critical value for this problem?5.A) How many
degrees of freedom are there in the problem?
5.C) What is the value for the mean of the means?
5.D) What is the value of SSTR and MSTR respectively?
5.E) What is the value of SSE and MSE respectively?
5.F) What is the value for the test statistic?
5.G) What is your decision after performing the test?
5.H) What is your conclusion after the test? Be specific and relate the conclusion to the problem.
In: Statistics and Probability
A reporter with the Saint Pete Times is working on a story about the main factors making restaurants in the St. Pete area different from each other. The variable he is considering is the average meal price per person. The reporter selects a sample of 4 restaurants serving Italian food, Seafood and Steaks. The reporter believes that average price meal per person in the St Pete area is about the same independently of the type of restaurant. The table below shows sample mean and variances for collected data in dollars. Allow for an alpha of 0.1
Italian Seafood Steakhouse
Sample Mean 24 24 27
Sample Variance 0.7 8.7 0.7
5.A) How many degrees of freedom are there in the problem?
5.B) What is the critical value for this problem?
5.C) What is the value for the mean of the means?
5.D) What is the value of SSTR and MSTR respectively?
5.E) What is the value of SSE and MSE respectively?
5.F) What is the value for the test statistic?
5.G) What is your decision after performing the test?
5.H) What is your conclusion after the test? Be specific and relate the conclusion to the problem.
In: Statistics and Probability
closed economy without export or import
I = $60 G = 140 T= 0.2 Y
savings function is = -100 + 0.25Y where Y= (Yd - T)
show numerically using these data that in equilibrium the sum of leakages equal the sum of injections?
In: Economics