Suppose you are hired as an analyst for a new life center to be opened. Managers of the center will ask you for help in determining the optimal pricing strategy. As a result of your analysis, the demand for the center of life is based on age.
you saw it differentiate. For adults (Y) between the ages of 12-64 and the second over 65
You have noticed the different demand structures for spring (IB) customers as follows: PY = 9.6-0.08QY and PIB = 4-0.05QIB. As this living center area is large enough, the crowd is not a problem for you and you are acting on the assumption that marginal costs are zero. In this case:
a) What kind of price discrimination do you apply? Why?
b) When the mentioned price differentiation is applied, what are the balance prices and quantities?
is it up?
c) Demand for two groups with profit maximization under price discrimination
What relationship do you observe between their flexibility? Why?

you may need to use the appropriate technology to answer this question.

To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.

Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

State the null and alternative hypotheses.

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: μ_50°C = μ_60°C = μ_70°C
H_a: Not all the population means are equal.    H₀: Not all the population means are equal.
H_a: μ_50°C = μ_60°C = μ_70°CH₀: μ_50°C ≠ μ_60°C ≠ μ_70°C
H_a: μ_50°C = μ_60°C = μ_70°CH₀: μ_50°C = μ_60°C = μ_70°C
H_a: μ_50°C ≠ μ_60°C ≠ μ_70°C

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =  

What is the predicted annual credit card charge for a three-person household with an annual income of $40,000 (show your work) -

This question has three parts: a) binary search, b) selection sort, and c) merge sort.

a) Suppose we are performing a binary search on a sorted list called numbers initialized as follows:

#index 0 1 2 3 4 5 6 7 8 9 10 11 12 13

numbers = [-2, 0, 1, 7, 9, 16, 19, 28, 31, 40, 52, 68, 85, 99]

#search for the value 5

index = binary_search(numbers, 5)

Write the indexes of the elements that would be examined by the binary search (the mid values in our algorithm's code) and write the value that would be returned from the search. Assume that we are using the binary search algorithm shown in lecture and section.

Indexes examined :

Value returned :

b) Write the state of the elements of the list below after each of the first 3 passes of the outermost loop of the selection sort algorithm.

numbers = [63, 9, 45, 72, 27, 18, 54, 36]

selection_sort(numbers)

after pass 1 :

after pass 2 :

after pass 3 :

c) Trace the complete execution of the merge sort algorithm when called on the list below, similarly to the example trace of merge sort shown in the lecture slides. Show the sub-lists that are created by the algorithm and show the merging of sub-lists into larger sorted lists.

numbers = [63, 9, 45, 72, 27, 18, 54, 36]

merge_sort(numbers)

1st split :

2nd split :

3rd split :

1st merge :

2nd merge :

3rd merge :

Problem Set 3: One-Way randomized ANOVA

Research Scenario: A health psychologist is looking into the effects of different kinds of exercise on stress. She divides volunteers into three exercise groups: high-intensity interval training (HIIT) (n=8), yoga (n=8), or running (n=8). The volunteers participate in a set number of hours of the exercise for a month, after which the psychologist measures their stress levels on a scale of 1-40 where lower scores = lower stress, and higher scores = higher stress. The scores for each group are shown in the table below. Input the data into SPSS (remember you will enter the data only using 2 columns - one for group (make sure you label the values) and one fore stress. Conduct a one-way ANOVA to determine the effect of these different exercises on stress levels.

11) Paste relevant SPSS output

12) Create an appropriate graph to display this data.

13) Write an APA-style Results section based on your analysis. All homework "Results sections" should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, effect size and/or post hoc analyses. Don't forget to include a decision about the null hypothesis.

            Apple products maybe huge in china, but they're also made in China and the process produces an awful lot of pollution, according to domestic environment protection groups. As many as 27 different Apple suppliers have been accused of releasing pollution and carcinogens and yesterday apple finally sat down to talk it out with its critics.

            The meeting, which lasted three and a half hours and took place in Apple’s Beijing offices, was attended by nine representatives for five different domestic environment groups, and five Apple team representatives.
            Li Li, a representative for one of the environmental groups, told Sina Tech that she was pleased Apple look the time to sit down with them, but that the company is still pushing the responsibility for pollution problems onto its suppliers and its attitude wasn’t sincere.

            Apple admitted that of the 27 suppliers accused of polluting in the environmentalists’ report, 15 were indeed Apple suppliers, Li Li said. (Apple does not publicly list its suppliers) in keeping with form, Apple would not tell the groups which 15 names were correct, according to Li

            Apple said they had already spoken to 11 supply firms and asked them to reform, and they’re in the process of initiating communications with the other four.

            Apple really concerns the influences of this event on China’s market. Apple is not sure whether their fans in China will change their attitude to its products.

Question 1. Specific the management dilemma, the management questions and the research questions of this research.

A statistical program is recommended.

Consider the following data for two variables, x and y.

(a) Develop an estimated regression equation for the data of the form

ŷ = b₀ + b₁x.  (Round b₀ to one decimal place and b₁ to three decimal places.

ŷ =

(b) Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

F =

Find the p-value. (Round your answer to three decimal places.)

p-value =

Is the relationship between x and y significant?

Yes, the relationship is significant.

No, the relationship is not significant.    

(c) Develop a scatter diagram for the data.

Does the scatter diagram suggest an estimated regression equation of the form

ŷ = b₀ + b₁x + b₂x²?

Explain.

Yes, the scatter diagram suggests that a linear relationship may be appropriate.

Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate.  

  No, the scatter diagram suggests that a linear relationship may be appropriate.

No, the scatter diagram suggests that a curvilinear relationship may be appropriate.

(d) Develop an estimated regression equation for the data of the form

ŷ = b₀ + b₁x + b₂x².

(Round b₀ to one decimal place and b₁ to two decimal places and b₂ to four decimal places.)

ŷ =

(e) Use the results from part (d) to test for a significant relationship between x, x², and y. Use α = 0.05. Is the relationship between x, x², and y significant?

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

Is the relationship between x, x², and y significant?

Yes, the relationship is significant.

No, the relationship is not significant.    

(f) Use the model from part (d) to predict the value of y when x = 25.  (Round your answer to three decimal places.)

You are an accountant and just opened up your practice at an exclusive Beverly Hills plaza. George Clooney and his wife, Amal Clooney come to you for tax advice. George is a self-employed consultant. In 2017, George’s business generated revenue of $265,000 and incurred expenses of $28,000 for rent and utilities for an office. George also spent $18,000 purchasing depreciable equipment used in the business and paid a part time secretary $22,000 for administrative work performed during the year. He hired Mary, an assistant to help him in his consulting practice and paid her $50,000.

George paid $6,000 for his own health insurance and $1,0000 for term life insurance. He did not contribute to any retirement plans.

Amal also works as a consultant, but is employed by a large firm. Her salary in 2017 was $185,000. Amal’s employer paid $30,000 of premiums for her health insurance and provided $50,000 of group term life insurance to each of its employees. Amal is not covered by a qualified retirement plan at work, but she contributed $15,000 to a traditional IRA.

Amal routinely travels for her job and was reimbursed by her employer for all travel expenses. In addition, Amal spent $1,000 on other employee business expenses that were not reimbursed by her employer.

What are the tax consequences of these items? Can George and Amal deduct the expenses they incurred? Are there other tax planning opportunities the couple may be missing or tax issues of which they should be aware? Are they both self-employed or are they employees?

You are an accountant and just opened up your practice at an exclusive Beverly Hills plaza. George Clooney and his wife, Amal Clooney come to you for tax advice. George is a self-employed consultant. In 2017, George’s business generated revenue of $265,000 and incurred expenses of $28,000 for rent and utilities for an office. George also spent $18,000 purchasing depreciable equipment used in the business and paid a part time secretary $22,000 for administrative work performed during the year. He hired Mary, an assistant to help him in his consulting practice and paid her $50,000. George paid $6,000 for his own health insurance and $10,000 for term life insurance. He did not contribute to any retirement plans. Amal also works as a consultant, but is employed by a large firm. Her salary in 2017 was $185,000. Amal’s employer paid $30,000 of premiums for her health insurance and provided $50,000 of group term life insurance to each of its employees. Amal is not covered by a qualified retirement plan at work, but she contributed $15,000 to a traditional IRA. Amal routinely travels for her job and was reimbursed by her employer for all travel expenses. In addition, Amal spent $1,000 on other employee business expenses that were not reimbursed by her employer. What are the tax consequences of these items? Can George and Amal deduct the expenses they incurred? Are there other tax planning opportunities the couple may be missing or tax issues of which they should be aware? Are they both self-employed or are they employees?

You are an accountant and just opened up your practice at an exclusive Beverly Hills plaza. George Clooney and his wife, Amal Clooney come to you for tax advice. George is a self-employed consultant. In 2017, George’s business generated revenue of $265,000 and incurred expenses of $28,000 for rent and utilities for an office. George also spent $18,000 purchasing depreciable equipment used in the business and paid a part time secretary $22,000 for administrative work performed during the year. He hired Mary, an assistant to help him in his consulting practice and paid her $50,000. George paid $6,000 for his own health insurance and $1,0000 for term life insurance. He did not contribute to any retirement plans. Amal also works as a consultant, but is employed by a large firm. Her salary in 2017 was $185,000. Amal’s employer paid $30,000 of premiums for her health insurance and provided $50,000 of group term life insurance to each of its employees. Amal is not covered by a qualified retirement plan at work, but she contributed $15,000 to a traditional IRA. Amal routinely travels for her job and was reimbursed by her employer for all travel expenses. In addition, Amal spent $1,000 on other employee business expenses that were not reimbursed by her employer.

What are the tax consequences of these items? Can George and Amal deduct the expenses they incurred? Are there other tax planning opportunities the couple may be missing or tax issues of which they should be aware? Are they both self-employed or are they employees?