A food worker vomits a few hours before he is scheduled to work, but he feels better in

People end up tossing 12% of what they buy at the grocery store (Reader's Digest, March, 2009). Assume this is the true populati

Marina CMI [18]

Answer:

Consider the following calculations

Explanation:

People end up tossing 12% of what they buy at the grocery store (Reader's Digest, March, 2009). Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior.

a- Show the sampling distribution of ( p¯ ), the proportion of groceries thrown out by your sample respondents

sampling distribution of ( p¯ ) is normal with

mean = 0.12 and

standard error = sqrt(p(1-p)/n) = sqrt(0.12*0.88/540) =0.0140

b- what is the probability that the sample proportion will be within ±.03 of the population proportion?

z value for 0.03 difference, z=0.03/0.014 =2.14

The required P= P( -2.14<z<2.14) = P( z <2.14) – P( z <-2.14)

=0.9838 - 0.0162

=0.9676

c- what is the probability that your survey will provide a sample proportion within ±.015 of the population proportion?

z value for 0.015 difference, z=0.015/0.014 =1.07

The required P= P( -1.07<z<1.07) = P( z <1.07) – P( z <-1.07)

=0.8577 - 0.1423

=0.7154

d- What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why?

Taking a larger sample will decrease the standard error. The probabilities in parts (b) and (c) will increase.

8 0

2 years ago

Selected sales and operating data for three divisions of different structural engineering firms are given as follows: Division A

melomori [17]

Answer:

1. ROI for each division:

Division A Division B Division C

Return on investment (DuPont) = 23% 7% 11.6%

2. Residual income (loss) $469,500 ($106,950) $0

3. Divisions A and C will probably accept the opportunity while Division B will reject it.

Explanation:

a) Data and Calculations:

Division A Division B Division C

Sales $ 15,650,000 $ 35,650,000 $ 20,520,000

Average operating assets $ 3,130,000 $ 7,130,000 $ 5,130,000

Net operating income $ 719,900 $ 499,100 $ 595,080

Minimum required rate of return 8.00 % 8.50 % 11.60 %

Return on investment (ROI) (ordinary) 23% 7% 11.6%

ROI = Net operating income/Average operating assets * 100

Return on investment (DuPont ROI) :

Asset Turnover = 5 5 4

Sales/Average operating assets

Operating income margin =

Income/Sales * 100 4.6% 1.4% 2.9%

Return on investment (DuPont) = 23% 7% 11.6%

Asset Turnover * Operating income margin

Residual income =

Net income - (Equity * RRR) $469,500 ($106,950) $0

NB: Equity is approximated to the net operating asset here.

7 0

1 year ago

A firm has a P/E ratio of 12 and a ROE of 13% and a market to book value of what?

maxonik [38]

Answer:

1.56

Explanation:

Calculation for the market-to-book value

First step is to calculate for the P/E ratio

P/E ratio=1/12

P/E ratio= 0.0833

Now let find the market-to-book value using this formula

Market-to-book value = ROE percentage/P/E ratio

Let plug in the formula

Market-to-book value=0.13/0.0833

Market-to-book value= 1.56

Therefore the Market-to-book value will be 1.56

6 0

2 years ago

Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C1 = 6

GaryK [48]

Answer:

Consider the following calculations

Explanation:

a. π1 = P Q1 − C1 = (300 − Q1 − Q2 )Q1 − 60Q1 = 300Q1 − Q1^2 − Q1 Q2 − 60Q1

π2 = P Q2 − C2 = (300 − Q1 − Q2 )Q2 − 60Q2 = 300Q2 − Q1 Q2 − Q2^2-60Q2

Take the FOCs:

∂π/(∂Q1)= 300 − 2Q1 − Q2 = 0 ⇒ Q1 = 120 − 0.5Q2

∂π/(∂Q2)= 300 − Q1 − 2Q2 = 0 ⇒ Q2 = 120 − 0.5Q1

Q1 = 120 − 0.5[120 − 0.5Q1 ] = 60 − 0.25Q1 ⇒ Q1 = 80

Similarly ﬁnd Q2 = 80 such that π1 = π2 = 6, 400.

b. The two ﬁrms act as a monopolist, where each ﬁrm produces an equal share of total output. Demand is given by P = 300 − Q, M R = 300 − 2Q, and M C = 60. Set M C = M R toﬁnd that Q = 120 and Q1 = Q2 = 60, respectively. Therefore:

π1 = π2 = 180 × 60 − 60 × 60 = 7, 200.

c. It would be higher because they could make more money.

d. Firm 2 knows that Q1 = 60 and given the reaction function derived in part (a) ﬁrm 2 sets Q2 = 120 − 0.5 × 60 = 90. Overall, QT = 150 and P = 300 − 150 = 150. Hence:

π1 = 150 × 60 − 60 × 60 = 5, 400

π2 = 150 × 90 − 60 × 90 = 8, 100.

8 0

2 years ago

Devon, the CEO believes that his staff just needs a little push by giving them an understanding of the importance of each of the

bonufazy [111]

Answer:

Task significance and feedback

Explanation:

The characteristic model of work is a methodology whose central objective is the motivation of the worker through his own work, but which must be challenging and allow the employee to develop his skills and competences through the performance of his work. There are five dimensions of the model, they are: Variety of Skills, task identity, task significance, autonomy and feedback.

In the case of the above question, Devon focuses on the significance characteristics of the task, by providing them with an understanding of the importance of each of their positions to the company, allowing them to also see each of their own direct impact. Because the significance of the task is the level that motivates employees through increasing their perception and appreciation of their work towards the central objectives of the company.

He also used feedback, as he believes that providing timely information about the performance of their job and letting them know the importance of their roles to the company will improve job performance. Using feedback helps employees to improve their perception of their performance and strive to achieve better results to company.

3 0

2 years ago