Assume that the differences are normally distributed. Complete parts (a) through (d) below.
Observation Xi Yi
1 52.0 53.4
2 54.3 53.6
3 49.5 54.1
4 44.0 48.7
5 53.9 53.2
6 50.8 52.3
7 50.9 52.6
8 51.0 53.4
(a) Determine di=Xi-Yi for each pair of data.
Answer: Di 1 2 3 4 5 6 7 8
-1.4 0.7 -4.6 -4.7 0.7 -1.5 -1.7 -2.4
(b) Compute d and sd.
Answer: d=-1.863
sd=2.047
(c) Test if μd<0 at the a=0.05 level of significance.
Answer: Ho:ud=0
H1:ud<0
P-value=_______ (round to 3 decimals places as needed)
Need help finding P-value????
In: Statistics and Probability
|
Standard Quantity or Hours |
Standard Price or Rate |
Standard Cost Per Unit |
||||||
|
Direct materials |
7.0 |
ounces |
$ |
4.00 |
per ounce |
$ |
28.00 |
|
|
Direct labor |
0.7 |
hours |
$ |
14.00 |
per hour |
$ |
9.80 |
|
|
Variable overhead |
0.7 |
hours |
$ |
9.00 |
per hour |
$ |
6.30 |
|
The company reported the following results concerning this product in May.
|
Actual output |
2,900 |
units |
|
|
Raw materials used in production |
21,000 |
ounces |
|
|
Purchases of raw materials |
21,900 |
ounces |
|
|
Actual direct labor-hours |
2,000 |
hours |
|
|
Actual cost of raw materials purchases |
$ |
89,790 |
|
|
Actual direct labor cost |
$ |
32,400 |
|
|
Actual variable overhead cost |
$ |
3,200 |
Calculate the following variances:
Materials price variance
Materials quantity variance
Labor rate variance
Labor efficiency variance
In: Accounting
1.If a demand curve is a straight downward-sloping line, which of the following is true
A. The elasticity varies along the line
B. The elasticity is constant along the line.
C. The elasticity is inelastic along the line.
D. The elasticity is perfectly elastic along the line.
2. The income elasticity for Good A is 0.7, and its cross elasticity with Good B is 0.7. What should we conclude about Good A?
A. It is a normal good and a substitute for Good B.
B. It is a normal good and a complement of Good B.
C. It is an inferior good and a substitute for Good B.
D. It is an inferior good and a complement of Good B.
3.The shorter the time period for action on a purchase, the ______ the _______ elasticity of demand
A. lower; price
B. lower; income
C. higher; price
D. higher; income
In: Economics
A piston with a volume of 0.5 m ^ 3 contains 0.9 kg of water at a pressure of 0.2 MPa. Heat is transferred to the cylinder until the temperature of the steam at constant pressure is 250 ° C. What happens if the change in kinetic and potential energy is neglected?
A piston with a volume of 0.5 m ^ 3 contains 0.9 kg of water at a pressure of 0.2 MPa. Heat is transferred to the cylinder until the temperature of the steam at constant pressure is 250 ° C. What happens if the change in kinetic and potential energy is neglected?
In: Mechanical Engineering
If we were to conduct a hypothesis test to test if a population proportion of a certain event is 0.2 versus the alternative that it is greater than 0.2 and we sampled 100 people, what would the probability of a Type I Error be if we were to use the arbitrary decision rule to reject Ho if more than 30 units in the sample had the event (not the way we tested hypotheses in class)? What would the probability of a Type II Error be with the same decision rule if the real proportion was 0.25?
In: Statistics and Probability
A bank has DA = 2.8 years and DL= 1.2 years. The bank has total equity of $105 million and total assets of $950 million. Interest rates are at 7 percent.
2. If interest rates decrease 100 basis points, what is the predicted dollar change in equity value? (0.2 points)
In: Finance
11. A package of yeast (7.4g) was suspended into 100 ml of water. The
suspension was serially diluted by transferring 0.1 ml aliquots successively to 9.9
ml of water three times in secession. 0.1 and 0.2 ml aliquots were spread on
glucose nutrient agar. Colonies appeared as follows: 0.1 plate: 179, 0.2 plate: 32
1. How many yeast were there originally in the package? How many yeast
Were in a gram of material?
Please explain in detail and show all work.
In: Biology
Consider the following probability distribution of returns estimated for Projects B, C and D. Construct an equal-weighted (50/50) portfolio of Investments B and D.
| State | Probability | B | C | D |
| Very poor | 0.1 | 25% | -25% | 15% |
| Poor | 0.2 | 15% | -5% | 10% |
| Average | 0.4 | 10% | 15% | 0% |
| Good | 0.2 | 0% | 35% | 25% |
| Very good | 0.1 | -10% | 55% | 35% |
The expected rate of return of the portfolio is 10.25.
What is the standard deviation?
In: Finance
Expected Return: Discrete Distribution
A stock's return has the following distribution:
| Demand for the Company's Products |
Probability of This Demand Occurring |
Rate of Return if This Demand Occurs (%) |
||
| Weak | 0.1 | -25% | ||
| Below average | 0.2 | -9 | ||
| Average | 0.4 | 12 | ||
| Above average | 0.2 | 40 | ||
| Strong | 0.1 | 55 | ||
| 1.0 | ||||
Calculate the stock's expected return. Round your answer to two
decimal places.
%
Calculate the standard deviation. Round your answer to two
decimal places.
%
In: Economics
Expected Return: Discrete Distribution
A stock's return has the following distribution:
| Demand for the Company's Products |
Probability of This Demand Occurring |
Rate of Return if This Demand Occurs (%) |
|||
| Weak | 0.1 | -35 | % | ||
| Below average | 0.2 | -5 | |||
| Average | 0.4 | 18 | |||
| Above average | 0.2 | 30 | |||
| Strong | 0.1 | 70 | |||
| 1.0 | |||||
Calculate the stock’s expected return and standard deviation. Do not round intermediate calculations. Round your answers to two decimal places.
Expected return: %
Standard deviation: %
In: Finance