It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 689 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.
| Number of nights | Pre-Retirement | Post-Retirement | Total |
| 4-7 | 243 | 167 | 410 |
| 8-13 | 77 | 68 | 145 |
| 14-21 | 39 | 51 | 90 |
| 22 or more | 10 | 34 | 44 |
| total | 369 | 320 | 689 |
With this information, construct a table of estimated expected values.
| Number of Nights | Pre-retirement | Post-retirement |
| 4-7 | ||
| 8-13 | ||
| 14-21 | ||
| 22 or more |
Now, with that information, determine whether the length of stay is independent of retirement using α=0.01.
(a) χ2=
(b) Find the degrees of freedom:
(c) The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that the length of stay is independent of retirement.
B. We can reject the null hypothesis that the length of stay is
independent of retirement and accept the alternative hypothesis
that the two are dependent
.
In: Statistics and Probability
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 707 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.
| Number of Nights | Pre-retirement | Post-retirement | Total |
| 4−7 | 244 | 162 | 406 |
| 8−13 | 83 | 72 | 155 |
| 14−21 | 32 | 59 | 91 |
| 22 or more | 21 | 34 | 55 |
| Total | 380 | 327 | 707 |
With this information, construct a table of estimated expected
values.
| Number of Nights | Pre-retirement | Post-retirement |
| 4−7 | ||
| 8−13 | ||
| 14−21 | ||
| 22 or more |
Now, with that information, determine whether the length of stay is
independent of retirement using ?=0.05
(a) ?2=
(b) Find the degrees of freedom:
(c) Find the critical value:
(d) The final conclusion is
A. We can reject the null hypothesis that the
length of stay is independent of retirement and accept the
alternative hypothesis that the two are dependent.
B. There is not sufficient evidence to reject the
null hypothesis that the length of stay is independent of
retirement.
In: Statistics and Probability
In: Mechanical Engineering
Apple has the highest market capitalization in the United States. In the last analysis on the stock market, Apple was worth 816.54 billion dollars. Apple is trying to compete with Samsung to make the best phones in the marketplace. They are having some difficulty justifying their high prices and are beginning to lose market share on phones. Apple decides to make an agreement with Amazon where if you have an iPhone, you will get a 10 percent discount of any items that are bought on Amazon.com. Tim Cook, the CEO of Apple raves at the sales of iPhones going through the roof! He has increased the market capitalization of the company to 972 billion dollars. It is about to become the first trillion dollar company in the history of the United States. Such a deal like this has never been seen and the Justice Department has to decide on how Apple's actions can be construed under the Sherman Act or the Robinson-Pactman Act.
1. Is this an example of a violation of any Anti-Trust laws in the United States? If so which one and why?
2. Apple and Amazon are making huge profits under this arrangement. Is this a horizontal or a vertical agreement between the companies? How would your know?
3. Let us say that because of the arrangement, Apple and Amazon grow to be the largest companies in the United States. Samsung tries to join Alibaba to rival the Apple-Amazon partnership, however the agreement does not seem to be gaining any traction. The justice department cannot figure out why this agreement works so well in the US and not in other countries. Apparently, Apple has been promoting a culture where the purchase of items off of Amazon using the iPhone and its unique software and people are gravitating towards it. Is this success by Apple and Amazon Anti-Trust? Did the companies do anything wrong? What did they do wrong and why?
In: Economics
GDP from each year:
| Year | GDP | |
| 1. | 2018 | 10569705.30 |
| 2. | 2019 | 11526332.80 |
| 3. | 2020 | 12401728.50 |
| 4. | 2021 | 13589825.70 |
| 5. | 2022 | 14838311.50 |
| 6. | 2023 | 15833943.40 |
a) Calculate Economic Growth from 2018 to 2023. When is the highest growth?
b) Calculate the Constant GDP of 2018, 2019, 2021, 2022, 2023 based on 2020 price.
In: Economics
Africa has the highest rate of HIV in the world. Why is this the case? What is it about the citizens of Africa that causes a higher rate? What other factors are responsible?
In: Nursing
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 681681 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.
| Number of Nights | Pre-retirement | Post-retirement | Total |
| 4−74−7 | 238238 | 161161 | 399399 |
| 8−138−13 | 7878 | 6363 | 141141 |
| 14−2114−21 | 3030 | 5656 | 8686 |
| 2222 or more | 2020 | 3535 | 5555 |
| Total | 366366 | 315315 | 681681 |
With this information, construct a table of estimated expected
values.
| Number of Nights | Pre-retirement | Post-retirement |
| 4−74−7 | ||
| 8−138−13 | ||
| 14−2114−21 | ||
| 2222 or more |
Now, with that information, determine whether the length of stay is
independent of retirement using α=0.01α=0.01.
(a) Find test value χ2=χ2=
(b) Find the degrees of freedom:
(c) Find the critical value:
(d) The final conclusion is
A. We can reject the null hypothesis that the
length of stay is independent of retirement and accept the
alternative hypothesis that the two are dependent.
B. There is not sufficient evidence to reject the
null hypothesis that the length of stay is independent of
retirement.
In: Statistics and Probability
The salaries received in 2018 by the some of the highest paid executives of 14 international companies (in $000s) are as follows:
2411, 1889, 1520, 1260, 980, 956, 947, 924, 899, 870, 856, 655, 700, 720
In: Statistics and Probability
For which of the following goods is the income elasticity of demand likely highest?
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In: Economics
It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 683683 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.
| Number of Nights | Pre-retirement | Post-retirement | Total |
| 4−7 | 233 | 165 | 398 |
| 8-13 | 81 | 74 | 155 |
| 14−21 | 37 | 50 | 87 |
| 22 or more | 12 | 31 | 43 |
| Total | 363 | 320 | 683 |
With this information, construct a table of expected numbers.
| Number of Nights | Pre-retirement | Post-retirement |
| 4−7 | ||
| 8−13 | ||
| 14-21 | ||
| 22 or more |
The chi-squared value is ?2=χ2= 19.642779967698
Using ?=0.05α=0.05, consider a test of ?0:H0: length of stay and retirement are not related vs. ??:HA: length of stay and retirement are related. Note that this problem involves a 4×24×2 contingency table and that the magic number for evaluating such a table at the ?=0.05α=0.05 level of significance is magic number = 7.81.
The final conclusion is
A. Reject ?0.H0. There is sufficient evidence to
conclude that the length of stay is related to retirement.
B. Accept ?0.H0. There is not sufficient evidence
to conclude that the length of stay is related to retirement.
Note: You can earn partial credit on this problem.
In: Statistics and Probability