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Scorpion4ik
2 months ago
5

The recommended retail price of a brand of designer jeans is $150. A retail analyst sampled 16 retail stores and found the avera

ge price was $141 with a standard deviation of $4. If this is a ‘random’ sample and the prices can be assumed to be normally distributed, construct a 95% confidence interval for the average sale price.
Business
1 answer:
harina [3.8K]2 months ago
7 0

Answer:

The confidence interval ranges from 139.04 to 142.96.

Explanation:

The formula for determining a confidence interval is as follows:

Mean (average price) +/- z-score x standard deviation / sqrt(n)

Formula Interpretation:

Mean = $141

z-score for a 95% confidence level = 1.96

standard deviation = $4

n = 16 --> sqrt (n) = 4

<pby plugging="" these="" values="" in="" we="" calculate="" the="" confidence="" interval:="">

141 +/- 1.96 x (4/4)

This results in a confidence interval of 139.04 to 142.96.

</pby>
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A firm evaluates all of its projects by applying the IRR rule. A project under consideration has the following cash flows:Year C
marusya05 [3725]

Answer:

IRR = 14.96%

The project should be rejected, because the calculated internal rate of return falls short of the required return (14.96% < 16%).

Explanation:

The internal rate of return (IRR) is an essential calculation in capital budgeting for assessing potential investment profitability. The IRR rule guides whether to pursue a project or investment, stipulating that if the IRR exceeds the minimum required return, the project should be accepted. Conversely, if it’s lower than the cost of capital or the requisite return, the project should be turned down.

The formula used is as follows:

$0 = (initial investment x -1) + CF1 / (1 + IRR) ^ 1 + CF2 / (1 + IRR) ^ 2 +... + CFX / (1 + IRR) ^ X

Initial Investment = Total initial investment costs year x-1

CFx = Cash Flow during period X

IRR = Internal rate of return

Due to the nature of the IRR formula, it cannot be computed analytically; it must be derived through trial and error or via specialized software for IRR calculation.

In this instance:

IRR = -27200 + 11200 / (1 + IRR) ^ 1 + 14200 / (1 + IRR) ^ 2 + 10200 / (1 + IRR) ^ 3

IRR = 14.96%

The company should not proceed with the investment, as the calculated IRR is less than what is required (14.96% < 16%).

5 0
2 months ago
Background Info: Tom needs money to pay for education expenses, and he finds a personal loan. The loan would require him to repa
Free_Kalibri [3773]

Answer: Tom would incur $2,970. in interest beyond repaying his principal of $9000.

To calculate the interest owed on the principal over a specified timeframe at a defined interest rate, we use the simple interest formula.

This Simple Interest Formula is:

\mathbf{A = (P)(r)(t)}

where

A = interest earned on the principal

P = the principle or the amount borrowed

r = interest rate

t = the duration in years for which interest is accrued.

<pWhen we substitute the values into the formula, we have,

A = (9000)(0.11)(3)

\mathbf{A = 2,970}

8 0
2 months ago
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The general ledger of Zips Storage at January 1, 2021, includes the following account balances:Accounts Debits CreditsCash $ 25,
Katen [3525]

Response:

The solution and calculations pertinent to this question are contained in the first, second, third, fourth, and fifth images.

Clarification:

3 0
2 months ago
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