3.1. A researcher is interested in determining whether a new and cheaper method of analysis to determine the fat content of small organisms works as well as the older method used for many years. She has decided to split 15 samples and determine fat content in the two halves using the two methods. She has decided that simple linear regression will be the best method of analysis because she can test the hypothesis that the two methods give a 1:1 relationship (slope = 1) over the working range of the methods. The data collected are (mg fat/g tissue):
| Sample# | Old Method (mg/g) | New Method (mg/g) |
| 1 | 18.6 | 18.1 |
| 2 | 5.9 | 6.1 |
| 3 | 19.1 | 19.6 |
| 4 | 23.2 | 20.1 |
| 5 | 12.4 | 8.1 |
| 6 | 14.2 | 15.2 |
| 7 | 18.3 | 15.6 |
| 8 | 15.6 | 13.5 |
| 9 | 14.8 | 10.9 |
| 10 | 27.6 | 27.8 |
| 11 | 13.6 | 12.1 |
| 12 | 17.5 | 19.2 |
| 13 | 26.4 | 24.6 |
| 14 | 6.4 | 4.5 |
| 15 | 9.2 | 8.1 |
A). Create a well labelled xy scatter plot (where x = old method) on the spreadsheet page with the data; make note of the general pattern of the plotted data and whether there are any suspect data points.
B). Use the advanced regression analysis tool to conduct a complete simple linear regression analysis for the data. You will not require the options for "residuals" for this analysis. Remember to complete the seven steps of hypothesis testing in the spaces provided on the worksheet.
C). Use the linear regression equation determined in part "B" to calculate a set of "predicted y values" for each observed x value.
D). What are the predicted y values (ie predicted “fat content using the new method”) for the following x values? a). 11.3 mg/g b). 17.2 mg/g c). 21.5 mg/g d). 148.4 mg/g
E). Whether the regression from question part “B” is significant or not, use the t-test for slope to test the hypothesis that the slope = 1.0. Remember to complete the five steps of hypothesis testing in the spaces provided on the worksheet. What does this analysis tell you about the two methods?
**please show how you got the answers so that I can learn and understand, as well as each of the steps for the seven steps of hypothesis testing so that I can see each step clearly **
In: Statistics and Probability
QUESTION 1
As the wavelength increases, the angle of deviation
| a. |
none |
b. |
decreases |
c. |
increases |
d. |
remains unchanged |
1 points
QUESTION 2
as the wavelength is increased. the index of refraction of the prism
| a. |
increases |
b. |
none |
c. |
decreases |
d. |
neither increases nor decreases |
1 points
QUESTION 3
The index of refraction depend son wavelength.
True
False
1 points
QUESTION 4
The white light does not split into different colors.
True
False
1 points
QUESTION 5
Which color has the most deviation?
| a. |
red |
b. |
purple |
c. |
orange |
d. |
none |
1 points
QUESTION 6
Which color has the least deviation?
| a. |
green |
b. |
blue |
c. |
red |
d. |
purple |
1 points
QUESTION 7
Why does an angle of the equilateral prism base measure 60 degrees?
| a. |
Sum of vthe three angles of a triangle measures less than 180 degrees |
b. |
Sum of the three angles of a triangle measures 180 degrees |
c. |
none |
d. |
Sum of the three angles of a triangle measures more than 180 degrees |
1 points
QUESTION 8
For air to water incidence at an angle of incidence of 30 degrees for a ray of light of wavelength 450 nm,
| a. |
angle of reflection is 30 degrees and angle of refraction is 30 degrees |
b. |
angle of reflection is 20 degrees and angle of refraction is 30 degrees |
c. |
angle of reflection is 20 degrees and angle of refraction is 20 degrees |
d. |
none |
e. |
angle of reflection is 30 degrees and angle of refraction is 20 degrees |
1 points
QUESTION 9
|
|
| a. |
angle of reflection is 30 degrees, angle of refraction is 30 degree, and the refractive index is about 1.5 |
b. |
angle of reflection is 40 degrees, angle of refraction is 25 degrees, and the refractive index is about 1.5 |
c. |
angle of reflection is 40 degrees, angle of refraction is 30 degree, and the refractive index is about 1.5 |
d. |
none |
e. |
angle of reflection is 40 degrees, angle of refraction is 40 degree, and the refractive index is about 1.0 |
1 points
QUESTION 10
Which color is the most energetic if energy varies inversely as the wavelength?
| a. |
green |
b. |
porple |
c. |
blue |
d. |
red |
e. |
orange |
f. |
none |
1 points
In: Physics
The comparative balance sheets for 2021 and 2020 and the
statement of income for 2021 are given below for Dux Company.
Additional information from Dux’s accounting records is provided
also.
| DUX COMPANY Comparative Balance Sheets December 31, 2021 and 2020 ($ in thousands) |
||||||||
| 2021 | 2020 | |||||||
| Assets | ||||||||
| Cash | $ | 141.0 | $ | 38.0 | ||||
| Accounts receivable | 66.0 | 68.0 | ||||||
| Less: Allowance for uncollectible accounts | (3.0 | ) | (2.0 | ) | ||||
| Dividends receivable | 21.0 | 20.0 | ||||||
| Inventory | 73.0 | 68.0 | ||||||
| Long-term investment | 33.0 | 28.0 | ||||||
| Land | 88.0 | 40.0 | ||||||
| Buildings and equipment | 153.0 | 268.0 | ||||||
| Less: Accumulated depreciation | (5.0 | ) | (140.0 | ) | ||||
| $ | 567.0 | $ | 388.0 | |||||
| Liabilities | ||||||||
| Accounts payable | $ | 31.0 | $ | 38.0 | ||||
| Salaries payable | 20.0 | 23.0 | ||||||
| Interest payable | 22.0 | 20.0 | ||||||
| Income tax payable | 25.0 | 26.0 | ||||||
| Notes payable | 48.0 | 0 | ||||||
| Bonds payable | 89.0 | 46.0 | ||||||
| Less: Discount on bonds | (2.0 | ) | (3.0 | ) | ||||
| Shareholders' Equity | ||||||||
| Common stock | 210.0 | 200.0 | ||||||
| Paid-in capital—excess of par | 24.0 | 20.0 | ||||||
| Retained earnings | 108.0 | 18.0 | ||||||
| Less: Treasury stock | (8.0 | ) | 0 | |||||
| $ | 567.0 | $ | 388.0 | |||||
| DUX COMPANY Income Statement For the Year Ended December 31, 2021 ($ in thousands) |
||||||
| Revenues | ||||||
| Sales revenue | $ | 470.0 | ||||
| Dividend revenue | 21.0 | $ | 491.0 | |||
| Expenses | ||||||
| Cost of goods sold | 156.0 | |||||
| Salaries expense | 61.0 | |||||
| Depreciation expense | 3.0 | |||||
| Bad debt expense | 1.0 | |||||
| Interest expense | 44.0 | |||||
| Loss on sale of building | 39.0 | |||||
| Income tax expense | 52.0 | 356.0 | ||||
| Net income | $ | 135.0 | ||||
Additional information from the accounting records:
Required:
Prepare the statement of cash flows for Dux Company using the
indirect method.
In: Accounting
j
A medium containing substance that cause some bacteria to look differently than others is called a differential medium. MSA is a medium that changes colors when S. aureus is present because that species can ferment the mannitol in the medium and cause a pH change. T or F
Calculation of Bacterial Counts from a Dilution Plate: A total of 145 colonies were counted on the plate that received 1.0 mL of the 1:10,000 dilution of a specimen. The bacterial count is obtained by multiplying the number counted on the plate multiplied by the dilution factor. What is the bacterial count for the original specimen?
1,450 colonies/mL
14,500 colonies/mL
145,000 colonies/mL
1,450,000 colonies/mL
14,500,000 colonies/mL
Indicate which of the following observations can be made when observing growth on Nutrient Agar.
opacity/clarity of colonies
color of colonies
shape and /or pattern of growth
none of the above
all the above
Macroscopic Observations: Colony characteristics on NA plates include the vertical dimension of a colony, which is referred to as its elevation. The terms crateriform, umbonate, convex, flat, and raised are all used to describe the elevate of a colony. T or F
Purpose of SIM (sulfur, indole, motility) Medium: What can be detected by using SIM medium?
motility
tryptophan degradation
H2S production
all the above
none of the above
Many bacteria can move using flagella. Motility can be observed by using Wet Mounts. Another way to differentiate motile versus nonmotile organisms is through the inoculation SIM medium. SIM medium is inoculated with bacteria in a straight line within the culture tube. Diffuse turbidity in the medium are indicative of motile organisms, and nonmotile bacteria will only grow along that line of inoculation. Motility is usually observed by using a _______ medium.
liquid
hard solid
semisolid
Tryptophan Hydrolysis Results: In the SIM test, Tryptophan hydrolysis results in the production of indole, which is detected by the addition of Kovac’s reagent. T or F
You have inoculated a SIM tube and 48 hours later the following results are recorded. The medium is black, turbid all over, and there is no red ring when you add Kovak’s reagent. Which of the following represent the correct interpretation of these results?
H2S +, Motile, Indole –
H2S +, Nonmotile, Indole +
H2S -, Nonmotile, Indole +
Mannitol Fermentation +, Nonmotile, Indole +
Mannitol Fermentation -, Motile, Indole +
In: Biology
Smoky Mountain Corporation makes two types of hiking boots—the Xtreme and the Pathfinder. Data concerning these two product lines appear below:
| Xtreme | Pathfinder | |||||
| Selling price per unit | $ | 138.00 | $ | 90.00 | ||
| Direct materials per unit | $ | 64.40 | $ | 51.00 | ||
| Direct labor per unit | $ | 13.50 | $ | 9.00 | ||
| Direct labor-hours per unit | 1.5 | DLHs | 1.0 | DLHs | ||
| Estimated annual production and sales | 22,000 | units | 73,000 | units | ||
The company has a traditional costing system in which manufacturing overhead is applied to units based on direct labor-hours. Data concerning manufacturing overhead and direct labor-hours for the upcoming year appear below:
| Estimated total manufacturing overhead | $ | 2,438,000 | ||
| Estimated total direct labor-hours | 106,000 | DLHs | ||
Required:
1. Compute the product margins for the Xtreme and the Pathfinder products under the company’s traditional costing system.
2. The company is considering replacing its traditional costing system with an activity-based costing system that would assign its manufacturing overhead to the following four activity cost pools (the Other cost pool includes organization-sustaining costs and idle capacity costs):
| Estimated Overhead Cost |
Expected Activity | |||||
| Activities and Activity Measures | Xtreme | Pathfinder | Total | |||
| Supporting direct labor (direct labor-hours) | $ | 646,600 | 33,000 | 73,000 | 106,000 | |
| Batch setups (setups) | 969,000 | 330 | 240 | 570 | ||
| Product sustaining (number of products) | 780,000 | 1 | 1 | 2 | ||
| Other | 42,400 | NA | NA | NA | ||
| Total manufacturing overhead cost | $ | 2,438,000 | ||||
Compute the product margins for the Xtreme and the Pathfinder products under the activity-based costing system.
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.
|
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In: Accounting
P1. The following trial balance was taken from the books of Coyote Company as of December31, 2019.
Account Debit Credit
Cash $60,000
Accounts receivable 50,000
Allowance for doubtful accounts $ 1,000
Short-Term notes receivable 20,000
Inventory, January 1, 2019 70,000
Furniture and equipment 210,000
Accumulated depreciation of F & E 40,000
Patents 100,000
Accounts payable 22,000
Bonds payable 20,000
L-T notes payable 15,000
Common stock 290,000
Retained earnings 87,000
Dividends 20,000
Prior period adjustments 10,000
Sales 700,000
Sales returns & allowance 40,000
Sales discount 10,000
Rent revenues 60,000
Interest revenues 10,000
Purchase 420,000
Purchase returns & allowance 20,000
Selling expenses 60,000
Advertising expense 30,000
Supplies expense 6,000
Insurance expense 24,000
Wage and Salary expense 90,000
Rent expense 60,000
Loss on sale of PS store before tax 10,000
Operating income from PS store before tax 25,000
Totals 1,290,000 1,290,000
At the year end, the following items have not been recorded.
a. Insurance premium expired during the year, $14,000.
b. Estimated bad debts expense, 1.0% of net sales.
c. Inventory as of 12/31/2019 turned out to be $50,000.
d. Office supplies were purchased for $6,000 and charged to supplies expenses then. There are $2,000 of supplies remaining as of 12/31/2019
e. Six months’ rent of $60,000 was paid in advance on September 1, 2019 and charged to rent expense then.
f. Furniture and equipment have an average useful life of 5 years and salvage value of
$10,000. Coyote Company uses the straight-line method of depreciation.
g. Patents have been amortized by $10,000/year.
h. Utility bill of $2,000 for the month of December 2019 will be paid on its due date, January 10, 2020.
i. Salaries earned but not yet paid by December 31, 2019, $8,000.
j. Tax rate = 30%.
Instructions: prepare
1. Any necessary adjusting entries at the end of 2019.
2. Income Statement and statement of retained earnings, and balance sheet of the company for the year 2019 in good forms (i.e. multiple-steps statements)
3. Any necessary closing entries at the end of 2019
In: Accounting
Smoky Mountain Corporation makes two types of hiking boots—the Xtreme and the Pathfinder. Data concerning these two product lines appear below:
| Xtreme | Pathfinder | |||||
| Selling price per unit | $ | 115.00 | $ | 85.00 | ||
| Direct materials per unit | $ | 65.40 | $ | 53.00 | ||
| Direct labor per unit | $ | 16.00 | $ | 10.00 | ||
| Direct labor-hours per unit | 1.6 | DLHs | 1.0 | DLHs | ||
| Estimated annual production and sales | 32,000 | units | 60,000 | units | ||
The company has a traditional costing system in which manufacturing overhead is applied to units based on direct labor-hours. Data concerning manufacturing overhead and direct labor-hours for the upcoming year appear below:
| Estimated total manufacturing overhead | $ | 1,779,200 | ||
| Estimated total direct labor-hours | 111,200 | DLHs | ||
Required:
1. Compute the product margins for the Xtreme and the Pathfinder products under the company’s traditional costing system.
2. The company is considering replacing its traditional costing system with an activity-based costing system that would assign its manufacturing overhead to the following four activity cost pools (the Other cost pool includes organization-sustaining costs and idle capacity costs):
| Estimated Overhead Cost |
Expected Activity | |||||
| Activities and Activity Measures | Xtreme | Pathfinder | Total | |||
| Supporting direct labor (direct labor-hours) | $ | 556,000 | 51,200 | 60,000 | 111,200 | |
| Batch setups (setups) | 770,000 | 430 | 340 | 770 | ||
| Product sustaining (number of products) | 400,000 | 1 | 1 | 2 | ||
| Other | 53,200 | NA | NA | NA | ||
| Total manufacturing overhead cost | $ | 1,779,200 | ||||
Compute the product margins for the Xtreme and the Pathfinder products under the activity-based costing system.
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.
Prepare a quantitative comparison of the traditional and activity-based cost assignments. (Round your intermediate calculations to 2 decimal places and "Percentage" answers to 1 decimal place.)
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In: Accounting
In 2015, the Keenan Company paid dividends totaling $2,340,000 on net income of $13.6 million. Note that 2015 was a normal year and that for the past 10 years, earnings have grown at a constant rate of 7%. However, in 2016, earnings are expected to jump to $20.4 million and the firm expects to have profitable investment opportunities of $10.2 million. It is predicted that Keenan will not be able to maintain the 2016 level of earnings growth because the high 2016 earnings level is attributable to an exceptionally profitable new product line introduced that year. After 2016, the company will return to its previous 7% growth rate. Keenan's target capital structure is 40% debt and 60% equity.
| Regular-dividend | $ |
| Extra dividend | $ |
In: Accounting
The mean cholesterol levels of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/l and the standard deviation is 1.0 mmol/l. Assume that cholesterol levels are normally distributed and a random sample of 24 women are selected.
It is possible with rounding for a probability to be 0.0000.
a) Identify the individual, variable, type of variable and the random variable X in the context of this problem. The individual is
The variable information collected from each individual is Select an answer This variable is
The random variable X is as follows:
b) List the givens with the correct symbols.
? = 5.1 mmol/l
? = 1 mmol/l
? = 24
c) Identify the random variable ¯¯¯ X in the context of this problem.
d) Find the mean of the sampling distribution of the sample mean. Put the numeric value in the first box and the correct units in the second box.
e) Find the standard deviation of the sampling distribution of the sample mean. Put the numeric value rounded to two decimal places in the first box and the correct units in the second box.
f) What is the shape of the sampling distribution of the sample mean?
Why? Check all that apply:
n is less than 30 n is at least 30
population is not normal
σ is known
population is normal
σ is unknown
g) Find the probability that the sample mean cholesterol level of the 24 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles is less than 5.3 mmol/l.
Round final answer to 4 decimal places.
DO NOT use the rounded standard deviation from part e in this computation.
Use the EXACT value of the standard deviation with the square root.
h) Find the probability that the sample mean cholesterol level of the 24 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles is more than 5.64 mmol/l.
Round final answer to 4 decimal places.
DO NOT use the rounded standard deviation from part e in this computation.
Use the EXACT value of the standard deviation with the square root.
i) Is a mean cholesterol level of 5.64 mmol/l unusually high for 24 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles?
j) If you found a mean cholesterol level for a sample of 24 women age 45-59 in Ghana, Nigeria, and Seychelles as high as 5.64 mmol/l, what might you conclude?
In: Statistics and Probability
|
Pendergast, Inc., has no debt outstanding and a total market value of $220,000. Earnings before interest and taxes, EBIT, are projected to be $42,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 20 percent higher. If there is a recession, then EBIT will be 30 percent lower. Pendergast is considering a $66,000 debt issue with an interest rate of 6 percent. The proceeds will be used to repurchase shares of stock. There are currently 10,000 shares outstanding. Ignore taxes for questions a and b. Assume the company has a market-to-book ratio of 1.0. |
| a-1 |
Calculate return on equity (ROE) under each of the three economic scenarios before any debt is issued. (Round your answers to 2 decimal places. (e.g., 32.16)) |
| ROE | ||
| Recession | % | |
| Normal | % | |
| Expansion | % | |
| a-2 |
Calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign.) |
| % change in ROE | ||
| Recession | % | |
| Expansion | % | |
| Assume the firm goes through with the proposed recapitalization. |
| b-1 |
Calculate the return on equity (ROE) under each of the three economic scenarios. (Round your answers to 2 decimal places. (e.g., 32.16)) |
| ROE | ||
| Recession | % | |
| Normal | % | |
| Expansion | % | |
| b-2 |
Calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16)) |
| % change in ROE | ||
| Recession | % | |
| Expansion | % | |
| Assume the firm has a tax rate of 35 percent. |
| c-1 |
Calculate return on equity (ROE) under each of the three economic scenarios before any debt is issued. (Round your answers to 2 decimal places. (e.g., 32.16)) |
| ROE | ||
| Recession | % | |
| Normal | % | |
| Expansion | % | |
| c-2 |
Calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign.) |
| % change in ROE | ||
| Recession | % | |
| Expansion | % | |
| c-3 |
Calculate the return on equity (ROE) under each of the three economic scenarios assuming the firm goes through with the recapitalization. (Round your answers to 2 decimal places. (e.g., 32.16)) |
| ROE | ||
| Recession | % | |
| Normal | % | |
| Expansion | % | |
| c-4 |
Given the recapitalization, calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16)) |
| % change in ROE | ||
| Recession | % | |
| Expansion | % | |
In: Finance