If the employees of San Simeon Company successfully borrowed a large sum of money and purchased the firm from its current owners
1 answer:
You might be interested in
Answer:
The annual scholarship payment = $5,693.25
Explanation:
Data Given:
In this question, we are required to calculate the future value up till 9th year and then
Donating Amount = $100,000
Time period = 9 years
Note: Here in this question, interest rate is not given without which this question is incomplete. However, I have found similar question on the internet and will be using its interest rate to solve this question for the sake of understanding and concept.
So, the interest we use will be = 4%
Formula for the future value:
FV = Present Value
Present value = $100,000
n = 9 years
r = 4% = 0.04
FV = 100,000
FV = 100,000 x 1.4233118
FV = Future Value = $142,331.18
The annual scholarship payment = FV * r
The annual scholarship payment = 142,331.18 * 0.04
The annual scholarship payment = 5,693.247
The annual scholarship payment = $5,693.25
The complete question is as follows:
The admission directory of Big City University has a novel idea. He proposed using the IQ scores of current students as a marketing tool. The university agrees to provide him with enough money to administer IQ tests to 50 students. So the director gives the IQ test to an SRS of 50 of the university’s 5000 freshman. The mean IQ score for the sample is xbar=112. The IQ test he administered is known to have a σ of 15. What is the 95% Confidence Interval about the mean? What can the director say about the mean score of the population of all 5000 freshman?
Answer: The 95% confidence interval about the mean is .
The director can say that he is 95% confident that the mean IQ score of the 5000 freshmen lies between 107.84 and 116.16.
We follow these steps to arrive at the answer:
Since the population standard deviation of the IQ test is known, we can use the Z scores to find the confidence interval.
The formula for the confidence interval about the mean is:
In the equation above, X bar is known as the point estimate and the second term is known as Margin of Error.
The Critical Value of Z at the 95% confidence level is 1.96.
Substituting the values in the question in the equation above we have,