A 10-meter diameter asteroid hitting the Earth is a 1 in 100 year event. If the Earth were hit by a 10-meter diameter asteroid sometime in 2018, how would the odds of the Earth being hit by a different 10-meter asteroid in 2019 compare to the odds of the Earth being hit by a different 10-meter asteroid in 2118? Please explain your answer

Is it true that students tend to gain weight during their first year in college? Cornell Professor of Nutrition David Levitsky recruited students from two large sections of an introductory health course. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables such as sex and ethnicity. The students were weighed during the first week of the semester, then again 12 weeks later at the end of the semester (weights are in pounds).

1) Construct a dotplot depicting the distribution of the change in the students’ weights from the beginning of the semester to the end of the semester.

2)Suppose Professor Levitsky wishes to use the data he collected from his students in a research paper. He wants to prove freshman students tend to gain weight during their first semester in college.

Frame this research question as a hypothesis testing problem. Identify the parameter being tested, the null value, and explicitly write out the null and alternative hypothesis in terms of the parameter and null value.

A corporate expects to receive $37,119 each year for 15 years if a particular project is undertaken. There will be an initial investment of $118,535. The expenses associated with the project are expected to be $7,570 per year. Assume straight-line depreciation, a 15-year useful life, and no salvage value. Use a combined state and federal 48% marginal tax rate, MARR of 8%, determine the project's after-tax net present worth

Ausel’s is considering a ten-year project that will require $850,000 for new fixed assets that will be depreciated straight-line to a zero book value over the ten years. At the end of the project, the fixed assets can be sold for 15 percent of their original cost. The project is expected to generate annual sales of $928,000 and costs of $721,000. The tax rate is 35 percent and the required rate of return is 14.6 percent. What is the net present value of the project? $8,523.72 $7684.69 $9,579.78 $10,599.28

In reference to the year 2000 national census, the distribution of United States households according to type of living arrangement is given in the table below. An SRS of 500 households gives the observed frequencies, by household type, for the city of Aurora, Illinois.

Ethnic Origin    Census Percent    Observed frequency from sample

Married, with children                        25%                                                  95

Married, with no children                    20%                                                110

Single parent                                    5%                                                    35

Single individual                               15%                                                 65

One person                                      20%                                                 120

Other (roommate, etc.)                      15%                                                   75

Using a significance level of 0.05, test the claim that the Aurora distribution fits the distribution obtained by the census personnel.

The Brookfield Corporation is considering a four-year project with the following data; What is the project NPV using wacc of 11.3%?

Additional investment in fixed assets but no additional working capital $100,000

Straight-line depreciation rate 25% but zero salvage value after four years

Annual sales revenues (constant for every year) $75,000

Operating costs (excl. depreciation) (also constant) $25,000

Tax rate 21.0%

Trumbull Inc. has $4.8 million  EBIT, $1.2 million depreciation, a tax rate of .4, a capital expenditure of $0.7 million, and an increase in NOWC of $1.1 million. To the nearest 0.1 million, what is its free cash flow?

In the year 2011 the prices at which producers sold their output were quite real to those producers. If they had tried to sell their products at 1983 prices their customers and stockholders would have rightly thought the producers had lost touch with reality. Why, then, would an economist calculate the value of 2011 output at 1983 prices and call it “real" GDP?

A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years.

(a)

Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period.

H₀: μ_d ≤ 0

H_a: μ_d > 0

H₀: μ_d ≠ 0

H_a: μ_d = 0

H₀: μ_d ≥ 0

H_a: μ_d < 0

H₀: μ_d = 0

H_a: μ_d ≠ 0

H₀: μ_d < 0

H_a: μ_d = 0

Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.)

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

p-value =

Using a 0.05 level of significance, what is your conclusion?

Reject H₀. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.Do not reject H₀. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.     Reject H₀. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.Do not reject H₀. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.

(b)

What is the sample mean domestic airfare (in dollars) for business travel for each year?

current$ previous$

(c)

What is the percentage change in mean airfare for the one-year period? (Round your answer to one decimal place.)

A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken five years ago. Results are summarized below. Let α = .05.

a)Formulate a hypothesis testing to test whether the proportion increased significantly (proportion of Sample 1 is greater than proportion of Sample 2).

b)What is the value of the test statistic?

c)What is the critical value of the test?

d)What is your conclusion? Explain it in the context of the problem.

The following data set provides information on acres harvested and planted by year and value in the US. Year ASPARAGUS - ACRES HARVESTED ASPARAGUS - ACRES PLANTED 2015 21,700 23,500 2014 23,800 25,800 2013 24,500 26,800 2012 25,300 27,800 2011 26,800 28,400 2010 28,000 29,200 2009 29,200 30,700 2008 32,200 33,700 2007 38,600 40,900 2006 43,200 44,700 2005 49,300 51,700 2004 61,500 66,000 2003 58,000 62,000 2002 66,000 70,500 2001 70,150 75,150 2000 77,400 82,800 1999 75,890 79,590 1998 74,430 From the data set, use the planting data for the United States for recent years. Using a calculator or statistical software, find the equation for the linear regression line for 2010 to 2015. What is the y-intercept?