✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎✈︎ .............
Answer:
Cash paid 168,000
Explanation:
Assuming that there were no inventory at start of the year
purchases during the year :
Sold = 155
Closing inventory = 21
Total purchase (155+21) = 176
Cash paid for merchandise = total purchase - increase in liability
Cash paid = 176-8 = 168
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,



Answer:
The Total Cost of Inventory is $4,024,000
Explanation:
The computation of the total cost is shown below:
= Purchase cost + ordering cost + carrying cost
where,
Purchase cost = Annual consumption × Cost per unit\
= 80,000 × $50
= $4,000,000
Ordering cost = (Annual demand ÷ EOQ) × Cost to place one order
= (80,000 ÷ 8,000) × $1,200
= $12,000
Carrying cost = (EOQ ÷ 2) × carrying cost percentage × Cost per unit
= (8,000 ÷ 2) × 6% × $50
= $12,000
Now put these values to the above formula
So, the value would equal to
= $4,000,000 + $12,000 + $12,000
= $4,024,000