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.
|
HIIT |
16 |
25 |
19 |
11 |
17 |
11 |
15 |
27 |
|
YOGA |
19 |
21 |
22 |
23 |
14 |
24 |
27 |
15 |
|
RUNNING |
19 |
28 |
33 |
24 |
26 |
30 |
17 |
21 |
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.
In: Math
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.
In: Operations Management
A statistical program is recommended.
Consider the following data for two variables, x and y.
| x | 22 | 24 | 26 | 30 | 35 | 40 |
|---|---|---|---|---|---|---|
| y | 12 | 20 | 33 | 35 | 40 | 36 |
(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.)
In: Statistics and Probability
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?
In: Accounting
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?
In: Accounting
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?
In: Accounting
Advertising expenses are usually wasteful, with no guarantee of enhanced sales or higher loyalty from the target audience. Do you agree with the statement? If yes, give logic and present your view point. Also discuss the difference between consumer markets and business market? Also differentiate the three types of buying situations during the purchase decisions. Discuss the difference between penetration and skimming pricing strategy with the reference of manufacturing and services firm.
In: Accounting
Three capacitors are arranged as shown as a portion of a complete circuit. ?2 and ?3 are wired in parallel, and then the system of (?2 + ?3) is wired in series to capacitor ?1. The capacitances of each capacitor are ?1 = 5.1 ??, ?2 = 4.8 ??, and C3= 6.2 ??. There is an unknown potential difference between points a and b. a. What is the equivalent capacitance of the system? b. If the charge on ?2 is 22 ??, what are the charges on ?1 and ?3? c. What is the voltage between points a and b?
In: Physics
1. Describe the bonds issued by Microsoft (MSFT) over the three-year period, in terms of par, coupon, maturity, price and yield to maturity. Discuss the relationship between bond price and yield to maturity?
2. Compare Microsoft (MSFT) bond yield to the current Treasury bond yield curve. Discuss the factors that lead to the difference of the yields between your firm’s bond and the treasury bond. Be sure to discuss the nominal interest.
In: Finance
Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. 0.05
The cumulative area corresponds to the z-score of ?. (Round to three decimal places as needed.)
In: Statistics and Probability