Answer:
Explanation:
Data given and notation
represent the sample mean
represent the standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is lower than 5600, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
P0 = $51.9956 rounded off to $52.00
Explanation:
The two stage growth model of DDM will be used to calculate the price of a stock whose dividends are expected to grow over time with two different growth rates. The DDM values a stock based on the present value of the expected future dividends from the stock.
The formula for price of the stock today under this model is,
P0 = D0 * (1+g1) / (1+r) + D0 * (1+g1)^2 / (1+r)^2 + ... + D0 * (1+g1)^n / (1+r)^n + [ (D0 * (1+g1)^n * (1+g2) / (r - g2)) / (1+r)^n ]
Where,
- D0 is the dividend today or most recently paid dividend
- g1 is the initial growth rate which is 20%
- g2 is the constant growth rate which is 8%
- r is the required rate of return
P0 = 2.5 * (1+0.2) / (1+0.15) + 2.5 * (1+0.2)^2 / (1+0.15)^2 +
2.5 * (1+0.2)^3 / (1+0.15)^3 +
[(2.5 * (1+0.2)^3 * (1+0.08) / (0.15 - 0.08) / (1+0.15)^3)
P0 = $51.9956 rounded off to $52.00
Answer:
The answer is: 5 hours 20 minutes; 4 Trucks
Explanation:
Each truck has a 16 minute window to pick up and dump the coal. This process can be observed as an assembly line where each stage of production is the stages of coal transport. When Truck A is travelling to the dump site, Truck B can be loading the coal. When Truck B is travelling to the dump site and Truck A is dumping the coal, Truck C would be loading the coal. When Truck A is travelling to the loading area, Truck B dumping the coal and Truck C travelling to the dump site, Truck D would be loading the coal. Once Truck A gets to the loading area, Truck D would be on its way to the dump site and so on. In each 16 minute window 88 tons of coal (22 tons * 4) is picked up and dumped, that is, 22 tons every 4 minutes. Given that there are 1, 760 tons of coal, the total time taken to dump all the coal is equal to 320 minutes:
88 tons = 16 minutes (22 tons dumped every 4 minutes)
1, 760 tons = (1760 tons * 16)/88 tons = 320 minutes
320 minutes/ 60 minutes = 5 hours 20 minutes
Answer:
The earnings foregone by skipping the two tournaments on the PGA tour is cost of opportunity
Explanation: The cost of opportunity of an economic decision that has several alternatives is the value of the best unrealized option. In other words, it refers to what a business stops earning, when choosing an alternative among several available. In this case are the prizes the golf player lost for not playing the tournments.
<span>Answer:
Now total premium is (700+900) = 1600 so saving will be $ 160 . Future value of the savings over 10 years based on annual interest</span>
