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:
![Confidence interval = \overline{X}\pm Z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%20Confidence%20interval%20%3D%20%5Coverline%7BX%7D%5Cpm%20Z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20)
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,
![Confidence interval = \112\pm 1.96*\frac{15}{\sqrt{50}}](https://tex.z-dn.net/?f=%20Confidence%20interval%20%3D%20%5C112%5Cpm%201.96%2A%5Cfrac%7B15%7D%7B%5Csqrt%7B50%7D%7D%20)
![Confidence interval = \112\pm 4.157787873}](https://tex.z-dn.net/?f=%20Confidence%20interval%20%3D%20%5C112%5Cpm%204.157787873%7D%20%20)
![Confidence interval = 107.8422121 \leq \mu \leq 116.1577879](https://tex.z-dn.net/?f=%20Confidence%20interval%20%3D%20107.8422121%20%5Cleq%20%5Cmu%20%5Cleq%20116.1577879%20)
Answer:
$250,000
Explanation:
The depreciable cost of the equipment is the amount that will be used to provide for depreciation on the asset also known as Depreciable Amount.
<em>Depreciable Cost = Cost - Salvage Value</em>
therefore,
Depreciable Cost = $300,000 - $50,000 = $250,000
Answer:
Yes, the Internet of everything (IOE) has created a lot of excitement in the business community.
Explanation:
IOT has come to revolutionalized our life in many ramifications. It is regarded as the best and fastest means of connecting to the people as well as machines around world. It effect ranging from Aviation, Education, Health Care Services, and so on. Business operation have witnessed significant improvement in the sense that things get done over the Internet easily. One buy and sell, services such as consultancy are rendered over the Internet.
Example
The example is Telecom Industry.
It effect could be seen in communication, is those days where there was no internet, mail or letter are delivered taking longer period and sometime may even get loss but with Telecommunications, introduction of e-mail come where letters is being delivered within seconds.
Answer:
$23.32
Explanation:
We have the given information as below:
Defective content average = 0.04
Number of units inspected per hour = 53
Hourly rate = $10
Cost involved in final product testing = $11
Now to determine if the inspector position is eliminated, we will need to calculate the number of defective products:
defective products = Defective content average × Number of units inspected per hour
defective products = 0.04 × 53 = 2.12
the hourly cost of defects = defective products × Cost involved in final product testing
The hourly cost of defects = 2.12 × $11 = $23.32
Answer:
An example of an operational risk would be if a business were unable to meet
its sales orders because of the death of the company president
Explanation:
When death incur from the owner or incharge of such business it might affect the operations of such businesses but if all other factors has been put in place, it would enable the business to carry on even when the owner is dead.