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:
Manufacturing overhead rate variance= $3,741 unfavorable
Explanation:
Giving the following information:
The standard variable overhead rate is $6.10 per direct labor-hour.
During the most recent month, 1,300 units of product D80D were made and 8,700 direct labor-hours were worked. The actual variable overhead incurred was $56,770
To calculate the variable overhead rate variance, we need to use the following formula:
Manufacturing overhead rate variance= (standard rate - actual rate)* actual quantity
actual rate= 56,770/8,700= $6.53 per hour
Manufacturing overhead rate variance= (6.1 - 6.53)*8,700
Manufacturing overhead rate variance= $3,741 unfavorable
As it is known that future cash flows are
risky in nature so it is not possible to discount them at risk free rate. So
investor must discount the future cash flows based on the equity cost of
capital. It is the expected return of the other investments available in the market
with same kind of risk to the firm’s share.
Price of the stock can be found by using
the cost of equity equation which is as follows:
Po = Div_1 + P_1 / 1 + r_E
$15 = 0.8 + X / 1.12
X = $16
So the expected selling price of the
stock is $16.00
Answer:
1.Dr Cash $56,000
Cr Common stock $4,000
Cr Paid-in capital in excess of par $52,000
2.
Dr Cash $56,000
Cr Common stock no par value $56,000
Explanation:
The cash proceeds from the issue of common stock is $14*4000=$56,000
Consequently, the cash account is debited with $56,000 and corresponding credit entries would to common stock account with $4,000($1*4000) and paid-in capital in excess of par $52,000($14-$1)*4000))
However,when there is no par amount the $56,000 cash proceeds is debited to cash account and credited to common stock no par value account
Answer:
C) 1.5
Explanation:
multifactor productivity
= total revenue per day/total cost per day
= (30*200)/[(5*8*25)+(15*200)]
= 6000/4000
= 1.5
Therefore, The multifactor productivity is 1.5
