Yarin's gross pay for the year was $3,500. The federal income tax withholding from his pay was 9% of his gross pay. Yarin determ
1 answer:
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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,
<u>Solution and Explanation:</u>
<u> Answer:1</u> The total annual cash inflows associated with the new machine for capital budgeting purposes is:
=$10000
<u>Answer:2 </u>The internal rate of return promised by the new machine to the nearest whole percent is:
Particulars Year Amount ($)
Cash outflow 0 -40000
Cash inflow 1 10000
2 10000
3 10000
4 10000
5 10000
6 10000
IRR 13%
=13% using IRR function in excel.
<u>Answer:3</u> IRR=17%
with salvage value
Particulars Year Amount ($)
Cash outflow 0 -40000
Cash inflow 1 10000
2 10000
3 10000
4 10000
5 10000
6 22000
IRR 17%
using IRR function in excel.