In: Statistics and Probability
In an article in Marketing Science, Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by finding the shares of dollar billing volume coming from various media categories such as network television, spot television, newspapers, radio, and so forth.
(a) Suppose that a random sample of 396 U.S. advertising agencies gives an average percentage share of billing volume from network television equal to 7.48 percent, and assume that σ equals 1.49 percent. Calculate a 95 percent confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies. (Round your answers to 3 decimal places.) The 95 percent confidence interval is [ , ].
(b) Suppose that a random sample of 396 U.S. advertising agencies gives an average percentage share of billing volume from spot television commercials equal to 12.49 percent, and assume that σ equals 1.55 percent. Calculate a 95 percent confidence interval for the mean percentage share of billing volume from spot television commercials for the population of all U.S. advertising agencies. (Round your answers to 3 decimal places.)
The 95 percent confidence interval is [ , ].
(c) Compare the confidence intervals in parts a and b. Does it appear that the mean percentage share of billing volume from spot television commercials for U.S. advertising agencies is greater than the mean percentage share of billing volume from network television? Explain. (Click to select)Yes or No , confidence interval in (b) is totally (Click to select)above or below the confidence interval in (a).
In: Statistics and Probability
Use SPSS to create a bivariate regression equation where “LowBirthweight” is the dependent variable and “UrbanPop” is the independent variable. The variable “LowBirthweight” assesses the percentage of children born at what is considered “below normal” weight. The variable “UrbanPop” measures the percentage of people in each country who live in cities. The SPSS output for this regression is:
|
Model Summary |
||||
|
Model |
R |
R Square |
Adjusted R Square |
Std. Error of the Estimate |
|
1 |
.309a |
.095 |
.087 |
5.204 |
a. Predictors: (Constant), UrbanPop: Percentage of Population in Cities
|
Coefficientsa |
||||||
|
Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
||
|
B |
Std. Error |
Beta |
||||
|
(Constant) |
14.117 |
1.293 |
10.920 |
.000 |
||
|
UrbanPop: Percentage of Population in Cities |
-.070 |
.021 |
-.309 |
-3.280 |
.001 |
|
a. Dependent Variable: LowBirthweight: Percentage Children Low Birthweight
In: Statistics and Probability
In 2003 and 2017 a poll asked Democratic voters about their views on the FBI. In 2003, 42% thought the FBI did a good or excellent job. In 2017, 64% of Democratic voters felt this way. Assume these percentages are based on samples of 1200 Democratic voters.
1) Can we conclude, on the basis of these two percentages alone, that the proportion of Democratic voters who think the FBI is doing a good or excellent job has increased from 2003 to 2017? Why or why not?
Select one:
a. No. Although a lesser percentage is present in the sample, the population percentages could be the same or even reversed.
b. No. Since a greater percentage is present in the sample, we cannot conclude that a lesser percentage of Democratic voters who think the FBI is doing a good or excellent job is present in the population.
c. No. Although a lesser percentage is present in the sample, the population percentages could be the same, but could not be reversed.
d. Yes. Since a lesser percentage is present in the sample, a lesser percentage of Democratic voters who think the FBI is doing a good or excellent job is present in the population.
2) Construct a 95% confidence interval for the difference in the proportions of Democratic voters who believe the FBI is doing a good or excellent job, p1−p2. Let p1 be the proportion of Democratic voters who felt this way in 2003 and p2 be the proportion of Democratic voters who felt this way in 2017.
Select one:
a. (0.39, 0.45)
b. (-0.259, -0.181)
c. (-0.24, -0.20)
d. (0.63, 0.65)
In: Math
Paulina's Pizza is a well-known pizzeria and has contracted with a Business Analyst to estimate its cost equation. Based on
the data provided, the Business Analyst hypothesized that total costs were a function of fixed costs and variable costs. Recalling
from her BUSI 108 class, she hypothesized the following equation to be estimated,
Estimated Total Costs = b0 + b1*Pizzas
where
b0 = total fixed costs
b1 = marginal cost to produce 1 pizza
Pizzas = the quantity of pizzas produced
Using the least squares method, her regression results are the following,
Estimated Total Cost = 1,000 + 4*Pizzas
Paulina's Pizza tells the Business Analyst that they have tracked daily customer demand and the number of Pizzas sold depends
on the day of the week. Monday through Thursday (MidWeek) a low of 140 Pizzas per day are sold but Friday through Sunday
(Weekend) a high of 220 Pizzas per day are sold.
Pizzas are sold at a price of $10 per Pizza.
a) Assemble the Parameter Sections and the Model Sections for Paulina's Pizza. Calculate Total Cost, Total Revenue and Profit/
(Loss) for 170 Pizzas sold. Starting at 140 Pizzas and increasing by 10 to a maximum of 220 Pizzas, create a One-Way Data Table
calculating the Profit/(Loss) for the range of Pizzas that are sold during a week.
An area not-for-profit organization has asked Paulina's to assist with a fundraiser for their organization. The request is to
give 20% of the Pizza Price sold their organization when a customer presents a printed coupon from the organization. From
past experience with fundraisers, the percentage of customers that present the coupon ranged from 30% to 50%.
b) Using the What-If Analysis and the associated functions, create a table to reveal the range of Profit/(Loss) from both
the range of possible Pizzas sold and the percentage of customers who present the 20% coupon. There are several ways to
approach this problem but the objective is to create a table to show the various outcomes. Remember, Paulina's Pizza will
give 20% of its Total Revenue for that one day to a range of 30% to 50% of the customers that present the coupon.
In: Finance
The Ste. Marie Division of Pacific Media Corporation just started operations. It purchased depreciable assets costing $55 million and having a four-year expected life, after which the assets can be salvaged for $11 million. In addition, the division has $55 million in assets that are not depreciable. After four years, the division will have $55 million available from these nondepreciable assets. This means that the division has invested $110 million in assets with a salvage value of $66 million. Annual depreciation is $11 million. Annual operating cash flows are $30 million. In computing ROI, this division uses end-of-year asset values in the denominator. Depreciation is computed on a straight-line basis, recognizing the salvage values noted. Ignore taxes. Assume that all cash flows increase 10 percent at the end of each year. This has the following effect on the assets’ replacement cost and annual cash flows:
| End of Year | Replacement Cost | Annual Cash Flow | |||||||||
| 1 | $ | 110,000,000 | × 1.1 = | $ | 121,000,000 | $ | 30,000,000 | × 1.1 = | $ | 33,000,000 | |
| 2 | $ | 121,000,000 | × 1.1 = | $ | 133,100,000 | $ | 33,000,000 | × 1.1 = | $ | 36,300,000 | |
| 3 | Etc. | Etc. | |||||||||
| 4 | |||||||||||
Depreciation is as follows:
| Year | For the Year | "Accumulated" | ||||||
| 1 | $ | 12,100,000 | $ | 12,100,000 | (= 10% × $121,000,000) | |||
| 2 | 13,310,000 | 26,620,000 | (= 20% × 133,100,000) | |||||
| 3 | 14,641,000 | 43,923,000 | ||||||
| 4 | 16,105,100 | 64,420,400 | ||||||
Note that "accumulated" depreciation is 10 percent of the gross book value of depreciable assets after one year, 20 percent after two years, and so forth.
Required:
a. & b. Compute ROI using historical cost, net book value and gross book value. (Enter your answers as a percentage rounded to 1 decimal place (i.e., 32.1).)
NBV Gross Book Value
year 1 % %
year2 % %
year 3
year 4
c. & d. Compute ROI using current cost, net book value and gross book value. (Enter your answers as a percentage rounded to 1 decimal place (i.e., 32.1).)
NBV Gross Book Value
year 1 % %
year2 % %
year 3
year 4
In: Accounting
Elliott Engines Inc. produces three products—pistons, valves, and cams—for the heavy equipment industry. Elliott Engines has a very simple production process and product line and uses a single plantwide factory overhead rate to allocate overhead to the three products. The factory overhead rate is based on direct labor hours. Information about the three products for 20Y2 is as follows:
| Budgeted Volume (Units) |
Direct Labor Hours Per Unit |
Price Per Unit |
Direct Materials Per Unit |
|||||
| Pistons | 8,000 | 0.30 | $44 | $21 | ||||
| Valves | 21,000 | 0.15 | 11 | 4 | ||||
| Cams | 3,000 | 0.20 | 58 | 25 | ||||
The estimated direct labor rate is $25 per direct labor hour. Beginning and ending inventories are negligible and are, thus, assumed to be zero. The budgeted factory overhead for Elliott Engines is $227,550.
If required, round all per unit answers to the nearest cent.
a. Determine the plantwide factory overhead
rate.
$ per dlh
b. Determine the factory overhead and direct labor cost per unit for each product.
| Direct Labor Hours Per Unit |
Factory Overhead Cost Per Unit |
Direct Labor Cost Per Unit |
|
| Pistons | dlh | $ | $ |
| Valves | dlh | $ | $ |
| Cams | dlh | $ | $ |
c. Use the information above to construct a budgeted gross profit report by product line for the year ended December 31, 20Y2. Include the gross profit as a percent of sales in the last line of your report, rounded to one decimal place. Enter all amounts as positive numbers, except for a negative gross profit/gross profit percentage of sales.
| Elliot Engines Inc. | |||
| Product Line Budgeted Gross Profit Reports | |||
| For the Year Ended December 31, 20Y2 | |||
| Pistons | Valves | Cams | |
| $ | $ | $ | |
| Product Costs | |||
| $ | $ | $ | |
| Total Product Costs | $ | $ | $ |
| Gross profit | $ | $ | $ |
| Gross profit percentage of sales | % | % | % |
d. What does the report in (c) indicate to you?
Valves have the gross profit as a percent of sales. Valves may require a price or cost to manufacture in order to achieve the same profitability as the other two products.
In: Accounting
A publisher reports that 29% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 380 found that 25% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.
In: Statistics and Probability
A publisher reports that 29% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 380 found that 25% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.
In: Statistics and Probability
A publisher reports that 78% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 120 found that 71% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.
In: Statistics and Probability