What percentage of the population live in their state of birth? According to the U.S. Census Bureau's American Community Survey, the figure ranges from 25% in Nevada to 78.7% in Louisiana. The average percentage across all states and the District of Columbia is 57.7%. The data in the file Homestate are consistent with the findings in the American Community Survey. The data are for a random sample of 120 Arkansas residents and for a random sample of 180 Virginia residents.
Click on the datafile logo to reference the data.
| (a) | Choose the hypotheses that can be used to determine whether the percentage of stay-at-home residents in the two states differs from the overall average of 57.7%. | ||||
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| (b) | Estimate the proportion of stay-at-home residents in Arkansas. If required, round your answer to four decimal places. | ||||
| Does this proportion differ significantly from the mean proportion for all states? Use α = 0.05. | |||||
| The input in the box below will not be graded, but may be reviewed and considered by your instructor. | |||||
| (c) | Estimate the proportion of stay-at-home residents in Virginia. If required, round your answer to four decimal places. | ||||
| Does this proportion differ significantly from the mean proportion for all states? Use α = 0.05. | |||||
| The input in the box below will not be graded, but may be reviewed and considered by your instructor. | |||||
| (d) | Would you expect the proportion of stay-at-home residents to be higher in Virginia than in Arkansas? | ||||
| - Select your answer -YesNoItem 7 | |||||
| Support your conclusion with the results obtained in parts (b) and (c). | |||||
| The input in the box below will not be graded, but may be reviewed and considered by your instructor. | |||||
In: Statistics and Probability
2. A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results.
Number of Reported Side-Effects
Old Drug 0 1 3 3 5
New Drug 0 0 1 2 4
|
Old Drug |
New Drug |
Total Sample (Ordered Smallest to Largest) |
Ranks |
||
|
Old Drug |
New Drug |
Old Drug |
New Drug |
||
|
R1= |
R2= |
||||
A) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 16.5 is greater than the critical U value of 2.
B) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 8.5 is greater than the critical U value of 2.
C) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 16.5 is greater than the critical U value of 2.
D) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 8.5 is greater than the critical U value of 2.
In: Math
A nations population size and the affluence of its citizens each influence its resource consumption and environmental impact. As of 2019, the world’s population passed 7.76 billion, average per capita income was $15,415 per year, and the latest estimate for the worlds average ecological footprint is 2.8 hectares per person. The sampling of data in the table will allow you to explore patterns in how population, affluence, and environmental impact are related.
|
Nation |
Population (millions of people) |
Affluence (per capita income, in GNI PPP) |
Personal impact (per capita footprint, in ha/person) |
Total impact (national footprint, in millions of ha) |
|
Belgium |
11.3 |
$44,100 |
7.4 |
83.6 |
|
Brazil |
206.1 |
$15,020 |
3.1 |
638.9 |
|
China |
1378 |
$14,160 |
3.4 |
4685.2 |
|
Ethiopia |
101.7 |
$1,620 |
1.0 |
101.7 |
|
India |
1328.9 |
$6,020 |
1.2 |
1594.7 |
|
Japan |
125.3 |
$38,870 |
5.0 |
626.5 |
|
Mexico |
128.6 |
$17,150 |
2.9 |
372.9 |
|
Russia |
144.3 |
$23,790 |
5.7 |
822.5 |
|
United States |
323.9 |
$56,430 |
8.2 |
2656 |
Calculate the total environmental impact (national ecological footprint) for each country. Multiply column 1 (population) by Personal Impact (column 3).`
Which Country has the greatest IPAT? Why? Incorporate Population Size, Affluence and Footprint into your answer.
Which Country has the lowest IPAT? Why? Incorporate Population Size, Affluence and Footprint into your answer.
Compare Belgium and the US -both have the two highest Affluence, which are quite similar ($ 56K vs. $ 44K). The Personal Impact for both countries also is similar (8.2 vs. 7.4, respectively) yet the US has a population roughly 30x larger. In this example, what factor do you think (Affluence, Population size, or Personal Impact) carries the most weight in terms of influencing the Total National Impact/Ecological Footprint.
In: Economics
Peak Bikes sells its bicycles in various specialized brick-and-mortar stores throughout the United States. These retail stores must complete a vendor application and then be approved by Middle and Top-level managers in order to sell Peak Bikes. One-hundred percent of Peak Bikes sales are through these brick-and-mortar retail stores.
Now the company wants to sell its bikes on their website – moving the company into a new e-commerce platform. This has implications throughout the company, including Production; Vendor relations; Customer Service; Operations, etc. With this decision, management duties and responsibilities will also change. In the past, Peak Bikes has struggled with keeping frontline and middle level managers motivated and engaged. From a recent management employee survey, many feel that they have no input in the direction (strategy) for the company.
Your task (as the consultant) is to educate the entire management team (all levels) about organizational planning with regard to the new e-commerce platform. What would you recommend that the company expect (in general terms and using the materials from this week’s chapter) from each level of management in terms of their responsibilities and level in involvement in the overall organization planning efforts with regard to e-commerce?
In: Operations Management
[13] A seller in monopolistic competition would:
A) lose all of its buyers if it raised its price.
B) lose some, but not all, of its buyers if it raised its price.
C) never lower its price because it can sell as much as it wishes at the current price.
D) never lower its price because once the price is lowered it can never be raised again.
[14] In the long run, a firm in monopolistic competition will:
A) operate at a loss.
B) earn an economic profit.
C) just break even with a normal profit.
D) all of the above.
[15] Which of the following is NOT a characteristic of an oligopolistic market?
A) There are a few large sellers.
B) Entry into the market is difficult.
C) Products are either differentiated or identical.
D) Over the long run, firms are only able to earn normal profits.
[16] Mutual interdependence refers to the:
A) dependence of suppliers and distributors on one another.
B) need for sellers in any market to join together and make their common interests known to the government.
C) market situation where there are so few sellers that each must weigh the reactions of its rivals to its policies.
D) dependence of large firms on the government, and the dependence of the government on the products of large firms.
[17] In the past, when a particular small bank in the Midwest changed its prime interest rate, other banks in the United States changed their prime rates as well. This is an example of:
A) price leadership.
B) cost-plus pricing.
C) marginal cost pricing.
D) the kinked demand curve model.
[18] Which of the following is NOT a characteristic of a monopolistic market?
A) There is one seller in the market.
B) Excess profits can be earned over the long run.
C) Widespread product differentiation is found in the market.
D) An individual firm's demand curve is the market demand curve for the product
In: Economics
a. Which of the following statements is true regarding disability income insurance? why?
| A. | Increasing the elimination period reduces the premium for disability income insurance | |
| B. | Disability income insurance usually replaces 100 percent of lost income | |
| C. | A uniform definition of disability appears in all disability income policies | |
| D. | The purchase of disability income insurance is not necessary if you are covered under workers compensation |
b. Under many cafeteria plans, employees make premium contributions with pre-tax dollars and a salary reduction that are used to purchase group health insurance or dental insurance. This type of cafeteria plan is called a... why?
| A. | Flexible spending account plan | |
| B. | Premium conversion plan | |
| C. | Full-choice plan | |
| D. | Health reimbursement arrangement plan |
c. Which statement is true with regard to problems and issues with tax-deferred retirement plans in the United States? why?
| A. | Pension benefits are too often indexed for inflation, burdening employers with high pension costs | |
| B. | Retirement benefits for women are higher than retirement benefits for men, reflecting the higher wages women are paid. | |
| C. | Employees do not invest sufficient amounts in the common stock issued by the companies where they work. | |
| D. | Inadequate participation in employer-sponsored retirement plans can create economic insecurity for retired employees. |
d. Which of the following statements about the impact of the implementation of the Affordable Care Act (ACA) on workers compensation is true? why?
| A. | Implementation of the ACA will discourage annual physical check-ups and implementation of workplace wellness programs | |
| B. | Implementation of the ACA will create higher healthcare provider prices. | |
| C. | Implementation of the ACA will reduce the waiting time to see a physician, to have tests performed, and to begin physical therapy. | |
| D. | Implementation of the ACA will increase fraudulent workers compensation claims. |
In: Operations Management
In: Accounting
Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and sometimes the identity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). Syllables were categorized as long or short. On analyzing Plato's Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and three are long. Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato's time (about 427 - 347 B.C.). A random sample of 312 five-syllable sequences from the newly discovered manuscript showed that 60 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) from the text of Plato's Republic? Use α = 0.01.
What is the value of the sample test statistic? (Round your
answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your
answer to four decimal places.)
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1007 Chevrolet owners and found that 481 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01.
What is the value of the sample test statistic? (Round your
answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your
answer to four decimal places.)
In: Statistics and Probability
Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and sometimes the identity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). Syllables were categorized as long or short. On analyzing Plato's Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and three are long. Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato's time (about 427 - 347 B.C.). A random sample of 312 five-syllable sequences from the newly discovered manuscript showed that 60 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) from the text of Plato's Republic? Use α = 0.01.
What is the value of the sample test statistic? (Round your
answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your
answer to four decimal places.)
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1007 Chevrolet owners and found that 481 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01.
What is the value of the sample test statistic? (Round your
answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your
answer to four decimal places.)
In: Statistics and Probability
D. Suppose a nationwide study reports that the average price for a gallon of self-serve regular unleaded gasoline is $3.76. You believe that the figure is higher in your area of the country. You decide to test this claim for your part of the United States by randomly calling gasoline stations. Your random survey of 25 stations produces the following prices as shown in the table. Assume gasoline prices for a region are normally distributed. Do the data you obtained provide enough evidence to reject the null hypothesis? Use a 1% level of significance. Interpret your result.
|
$3.87 |
$3.89 |
$3.76 |
$3.80 |
$3.97 |
|
3.80 |
3.83 |
3.79 |
3.80 |
3.84 |
|
3.76 |
3.67 |
3.87 |
3.69 |
3.95 |
|
3.75 |
3.83 |
3.74 |
3.65 |
3.95 |
|
3.81 |
3.74 |
3.74 |
3.67 |
3.70 |
D1. The appropriate test should be:
a. a right-hand-side tailed t-test for the mean unleaded gasoline price in your area.
b. a right-hand-side tailed Z-test for the proportion of gasoline price in your area that is higher than the national average.
c. a left-hand-side tailed t-test for the mean unleaded gasoline price in your area.
d. a Chi-square test for the mean unleaded gasoline price in your area.
D2. The appropriate observed value or test statistic is
a. 1.9578
b. 2.575
c. 2.101
d. 1.645
D3. The appropriate critical value is, under a 1% level of significance:
a. 2.575
b. 1.645
c. 2.492
d. 2.101
D4. Is it true that the true average unleaded gasoline price in your area is higher than the national average of $3.76, based on the results of your test?
a. Yes
b. No, sample evidence does not support this statement.
c. Can’t decide.
In: Economics