Answer:
represent the sample mean
represent the sample deviation
n = 68 represent the sample size
Since the sample size is large enough n>30 we have enough evidence to conclude that the normal approximation for the sample mean makes sense. And the distribution for the sample mean would be given by:
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we have the following data given:
represent the sample mean
represent the sample deviation
n = 68 represent the sample size
Since the sample size is large enough n>30 we have enough evidence to conclude that the normal approximation for the sample mean makes sense. And the distribution for the sample mean would be given by:
Answer:
Explanation:
Market value of stock MV=$37
Dividend D1=$2.34
Growth rate g=4.5%
Dividend yield Ke=?
Formula;
MV=D1/(Ke-g)
37=2.34/(Ke-.045)
37Ke-1.665=2.34
Ke=(2.34+1.665)/37
Ke=10.8%
Answer:
$44.25
Explanation:
<u>procedure 1:</u>
we can determine the present value of the stock using the following formula:
present value = future value / (1 + constant growth rate)ⁿ
- future value = $50
- constant growth rate = 13%
- n = 1
present value = $50 / (1 + 13%) = $50 / 1.13 = $44.25
<u>procedure 2 (optional):</u>
future value = future dividend / (required rate of return - constant growth rate)
$50 = future dividend / (18% - 13%)
future dividend = $50 x 5% = $2.50
now we must determine the dividend for the current year:
current dividend = future dividend / (1 + constant growth rate)
current dividend = $2.50 / (1 + 13%) = $2.50 / 1.13 = $2.21
now we apply the Gordon growth model:
present value = dividend / (required rate of return - constant growth rate)
present value = $2.21 / (18% - 13%) = $2.21 / 5% = $44.25
Answer:
Being appreciated by people.
<span>A posthypnotic suggestion is made before a hypnosis session and intended to be carried out in the future when the subject has already been reawakened. The suggestion is usually carried out in response to a cue such as a snap or a clap.</span>
