Students and faculty alike are concerned about the cost of textbooks. A committee of both students and faculty searched the internet for appropriate books that would be available for less than $60. A random sample of 40 texts gave a mean of $65.12 with a standard deviation of $23.08. At the 5% level of significance, do the texts selected in the sample cost significantly more than the amount the committee considered appropriate?

(1) List all the information necessary for conducting the hypothesis test and state which

test you are doing.

(2) State the null and alternative hypotheses and whether you would use a right-tailed

test, a left-tailed test, or a two-tailed test.

(3) Sketch the critical reason, indicating on the sketch what the critical value(s) are.

(4) Determine the calculated z or t.

(6) Decide if you will Reject or Fail to Reject the Null Hypothesis.

(7) Interpret your conclusion in terms of the problem.

(8) If there are any questions to be answered in the problem, do so.

1.Barlow Company manufactures three products: A, B, and C. The selling price, variable costs, and contribution margin for one unit of each product follow:

Product

A B C
  Selling price $ 240 $

350

$ 300

  Variable expenses:
    Direct materials 32 80 40
    Other variable expenses 136 130 185

  Total variable expenses 168 210 225

  Contribution margin $ 72 $ 140 $ 75

  Contribution margin ratio 30 % 40 % 25 %

The same raw material is used in all three products. Barlow Company has only 4,000 pounds of raw material on hand and will not be able to obtain any more of it for several weeks due to a strike in its supplier’s plant. Management is trying to decide which product(s) to concentrate on next week in filling its backlog of orders. The material costs $8 per pound.

Required:

1.

Compute the amount of contribution margin that will be obtained per pound of material used in each product.

2a. Compute the amount of contribution margin on each product.

2b.

Which order would you recommend that the company work on next week—the orders for product A, product B, or product C?

Product A
Product B
Product C

3.

A foreign supplier could furnish Barlow with additional stocks of the raw material at a substantial premium over the usual price. If there is unfilled demand for all three products, what is the highest price that Barlow Company should be willing to pay for an additional pound of materials?

2.

Bed & Bath, a retailing company, has two departments, Hardware and Linens. The company’s most recent monthly contribution format income statement follows:

Department

Total Hardware Linens
  Sales $ 4,080,000 $ 3,030,000 $ 1,050,000
  Variable expenses 1,222,000 817,000 405,000

  Contribution margin 2,858,000 2,213,000 645,000
  Fixed expenses 2,210,000 1,340,000 870,000

  Net operating income (loss) $ 648,000 $ 873,000 $ (225,000 )

A study indicates that $375,000 of the fixed expenses being charged to Linens are sunk costs or allocated costs that will continue even if the Linens Department is dropped. In addition, the elimination of the Linens Department will result in a 19% decrease in the sales of the Hardware Department.

Required:

If the Linens Department is dropped, what will be the effect on the net operating income of the company as a whole?

Scenario: Prior to Opening, Part I: You plan to open a pet-services business that will offer dog grooming, day care, and boarding. You can be creative in deciding the name of your business (e.g., “Inspiring Dog Care”), its geographical location (e.g., Chicago), and its mission and vision for adding value to the community. You will be asked to make choices for a few other details to customize your case; otherwise, you should use the information below. There are 12 kennels (single dog only) and the day care area can house 10 large dogs and 12 small dogs each day. The grooming facility is 200 square feet, the boarding facility is 2,500 square feet, and the day care is 1,500 square feet. Your groomer can groom five dogs a day for five days a week; each groom consists of 1.5 labor hours. You also offer dog day care six days a week, and kenneling every day. You have taken out a loan for start-up costs and the monthly payment is $420; it goes into effect immediately and should be accounted for in your costs. With limited cash contribution and loan funding, you located two angel investors. You will collect a modest draw for the first year of $600 a month; remember to divide evenly among the services. Note: For simplicity, base all calculations using 30 days in each month.

You have hired the following people:

? A groomer, Allison, who will be paid $12/hour and work 40 hours a week

? A day care attendant, Beverly, who will be paid $9/hour and will work based on need

? A receptionist, Cathie, who will be paid $8.50/hour and work 30 hours a week

? A kennel attendant, Ben, who will be paid $11.50/hour and will work based on need A complete list of additional costs is provided below:

? Food and water bowls: $3.59/unit o Daycare: Two bowls last for every 75 dogs that attend daycare. o Boarding: Two bowls last for every 100 dogs that are boarded; you need two bowls per kennel. o Grooming: Each bowl lasts for 20 grooms and you need four bowls at all times.

? Fencing for daycare area: $1,249

? Installation of fencing: $1,000

? Dog grooming arm: $300

? 12 kennels: $9,500

? Kennel depreciation is $80/month

? Rent: $650/month; allocate based on square footage

? Utilities/insurance: $600/month; allocate based on square footage

? Grooming table: $900

? Grooming tub: $2800

? Heating system: $10,000

? Heating system depreciation is $83/month; allocate based on square footage

? Clippers: $136.99; can be used for 100 grooms

? Shampoo: $103.96 per five-gallon pail, which can be used for 100 grooms

? Cage bank: $2200 per set of 5

? Salon Tuff Capri mobile carry cart: $90

? Towels: $34.99 per 12 pack o Day care: You need to have 12 towels for every 25 dogs. o Boarding: You need to have 12 towels for every 40 dogs. o Grooming: You need to have two towels for every groom per day.

? Scissors: (1) 7-inch straight is $194.99, and (1) ear-and-nose is $7.49; each can be used for 200 grooms.

? Toys: $3.29 per 6-pack; one toy will last for two dogs in day care, per day.

? Cleaning products: o Odoban: $14.55/gallon: Each area will dilute 1 oz to 1 gallon of water; allocate based on square footage. o Simple Green: $15.66/gallon: each area will dilute 1 oz to 1 gallon of water; allocate based on square footage.

? Dryer: $1250

? Rubberized flooring for day care: $3800

? You have taken out a loan for start-up costs and the monthly payment is $420; it goes into effect immediately and should be accounted for in your costs.

? You will collect a modest draw for the first year of $600 a month

*FOR EACH ABOVE ITEM OR COST, CLASSIFY AS: DIRECT MATERIALS, DIRECT LABOR, MANUFACTURING OVERHEAD OR PERIOD COST*

Chevron Corporation's audited financial statements for the year ended December 31, 2019, included the following information: sales were $150 billion, the cost of goods sold was $130 billion, total assets were $100 billion and 50% of the company's assets were financed with debt. What was Chevron's total asset turnover in 2019? Please show work.

Sub: Test on Hypothesis (Maths)

Kindly solve the sum and provide the detailed step by step method:-

A random sample of size 15 has 50 as mean, the sum of the squares of the deviation taken from mean is 130.Can this sample be regarded as taken from the population having 53 as mean?. Obtain 95% and 99% confidence limits of the mean for the population.

Consider the following set of vectors in R6

S={[-9 7 -8 3 0 -5], [1 -7 3 2 -8 -8], [-6 -14 1 9 -23 -29], [11 -21 14 1 -16 -11], [8 16 -8 8 10 1], [17 -7 13 -8 8 18]

(a) (2 points) Demonstrate that S is not a basis for R6.

(b) (4 points) Let H = Span S. Find a basis for H and determine its dimension.

(c) (2 points) Determine whether v= [1,1,1,−1,−1,−1] ^T belongs in H or not.

(d) (6 points) Find a basis for R6 consists of the basis vectors of H found in part (b) and some additional linearly independent vectors.

(e) (4 points)Suppose A is a 6×6 matrix and T(x) =Ax. Show that T(H), the set of images of vectors of H, is a subspace of R6.

(f) (3 points) Show that dimT(H)≤dimH

(g) (4 points) Suppose A is invertible. Show that dimT(H) = dimH.

(h) (5 points)Suppose K is a 4 dimensional subspace of R6. Show that Hand K must have a nonzero vector in common.Hint: Start with bases for the two subspaces. If H andKonly have the trivial vector in common, then what’s a basis for the subspace H+K?

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females.

In this setting we have Σx = 300, Σy = 1777, Σx² = 6590, Σy² = 226,659, and Σxy = 38,288.

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to four decimal places.)

(b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y).

(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%

(d) Test the claim that the population correlation coefficient ρ is positive at the 1% level of significance. (Round your test statistic to three decimal places.)

t =

Find or estimate the P-value of the test statistic.

P-value > 0.250

0.125 < P-value < 0.250  

  0.100 < P-value < 0.125

0.075 < P-value < 0.100

0.050 < P-value < 0.075

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.005 < P-value < 0.010

0.0005 < P-value < 0.005

P-value < 0.0005

Conclusion

Reject the null hypothesis. There is sufficient evidence that ρ > 0.Reject the null hypothesis. There is insufficient evidence that ρ > 0.    Fail to reject the null hypothesis. There is sufficient evidence that ρ > 0.Fail to reject the null hypothesis. There is insufficient evidence that ρ > 0.

(e) If a female baby weighs 25 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
lb

(f) Find S_e. (Round your answer to two decimal places.)
S_e =

(g) Find a 95% confidence interval for weight at age 30 of a female who weighed 25 pounds at 1 year of age. (Round your answers to two decimal places.)

(h) Test the claim that the slope β of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)

t =

Find or estimate the P-value of the test statistic.

P-value > 0.2500.

125 < P-value < 0.250   

0.100 < P-value < 0.125

.075 < P-value < 0.100

0.050 < P-value < 0.075

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.005 < P-value < 0.010

0.0005 < P-value < 0.005

P-value < 0.0005

Conclusion:

Reject the null hypothesis. There is sufficient evidence that β > 0.

Reject the null hypothesis. There is insufficient evidence that β > 0.    

Fail to reject the null hypothesis. There is sufficient evidence that β > 0.

Fail to reject the null hypothesis. There is insufficient evidence that β > 0.

(i) Find an 80% confidence interval for β and interpret its meaning. (Round your answers to three decimal places.)

Interpretation:

For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval.

For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval.

For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval.

For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval.

Solve the following question by using python language

In range of 1-10000 if the numbers are divisible by n1 increase count by 1 , if the number is divisible by n2 increase count by 2, and if the number are divisible by n3 increase the count by 3

if none of the above conditions match for the number, increase count by the number.

n1=10 +17

n2=50 +21

n3=100 +9

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years, and standard deviation of 1.6 years.

If you randomly purchase one item, what is the probability it will last longer than 11 years?

The future earnings, dividends, and common stock price of Callahan Technologies Inc. are expected to grow 7% per year. Callahan's common stock currently sells for $20.50 per share; its last dividend was $2.00, and it will pay a $2.14 dividend at the end of the current year.

1. Using the DCF approach, what is its cost of common equity? Do not round intermediate calculations. Round your answer to two decimal places.

     %

2. If the firm's beta is 1.5, the risk-free rate is 3%, and the average return on the market is 14%, what will be the firm's cost of common equity using the CAPM approach? Round your answer to two decimal places.

     %

3. If the firm's bonds earn a return of 13%, based on the bond-yield-plus-risk-premium approach, what will be r_s? Use the midpoint of the risk premium range discussed in Section 10-5 in your calculations. Round your answer to two decimal places.

     %

4. If you have equal confidence in the inputs used for the three approaches, what is your estimate of Callahan's cost of common equity? Do not round intermediate calculations. Round your answer to two decimal places.

     %