What percent of undergraduate enrollment in coed colleges and universities in the United States is male? A random sample of 50 such institutions give the following data (Source: USA Today College Guide).

For this problem, use five classes.

(a) Find the class width.

(b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies.

(c) Draw a histogram.

(d) Draw a relative-frequency histogram.

(e) Categorize the basic distribution shape.

(f) Draw an ogive.

Reporting on sustainability programs, policies and performance in the United States is presently voluntary. There appears to be two opposing views regarding voluntary sustainability reporting. One view is that voluntary sustainability reporting increases costs (communication and operational) and intensifies the likelihood that the reporting firm is greenwashing. A second view is that voluntary sustainability reporting demonstrates good corporate citizenship and environmental stewardship. Discuss whether or not an organization should adopt a proactive versus reactive stance to sustainability reporting.

4. Suppose you are named the new Secretary of Economy of the United States of America. You are interested in investing in a project with great returns to the economy, so you are advised to focus on early childhood education investments, since it is shown they increase productivity and earnings in the economy in the long run. In order to fulfill your project, you need to construct a new school in each county, using two factors of production: capital (K) and labor (L). Let the rental rate of capital ber and the wage bew. Output(a new school)(q)is produced according to the following production function: F(K,L) = (K1 4 +L1 4)4

(a) Are capital and labor complementary factors of production? Prove you answer. (2 points)

(b) Now, suppose the production function is: F(K,L) = K1 2L1 2

Does labor have a diminishing marginal product? Prove your answer. (2 points)

(c) Write down the cost minimization problem for the function specified in part (a). What are the optimal levels for capital and labor that minimize the cost of the program? What is the cost function? (8 points)

i. L(q) =

ii. K(q) =

iii. C(q) =

(d) Solve for the marginal cost function using your result from the previous part.

The mean cost of domestic airfares in the United States rose to an all-time high of $400 per ticket. Airfares were based on the total ticket value, which consisted of the price charges by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $120. Use Table 1 in Appendix B.

a. What is the probability that a domestic airfare is $555 or more (to 4 decimals)?

b. What is the probability that a domestic airfare is $250 or less (to 4 decimals)?

c. What if the probability that a domestic airfare is between $300 and $470 (to 4 decimals)?

d. What is the cost for the 4% highest domestic airfares? [(round to nearest dollar) (more or less)]

The United States, as it began its long and successful growth in the early 19th century, consciously promoted domestic production through such activities as tariffs, Clay's American System, and many direct subsidies to railroads, canal companies, farmers (free land) etc. Today we view this blatant example of large scale and extensive import-substitution industrialization as having been very successful. Comment fully on this statement.

In the United States, Cancer Alley is a stretch of land along the Mississippi River between New Orleans and Baton Rouge, Louisiana. Many petrochemical companies process oil into plastics and fertilizer, often releasing toxins into the environment. Residents in this area have high rates of cancer, lower incomes, and are predominantly African-American This scenario is an example of which of the following (choose one):

Group of answer choices

Environmental determinism because this location is the ideal location for chemical plants due to its proximity to the Gulf of Mexico.

Environmental possibilism because the low income residents have the possibility to create positive change through industrial development.

Environmental (in)justice because one portion of the population is disproportionately affected by the negative impacts of industrialization.

Sustainable development because the petrochemical companies have developed this river corridor in order to produce fertilizer that will increase agricultural opportunities across the country and the world.

According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis.

Open spreadsheet

1. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean.

   H₀: ? _________> 22.6≥ 22.6= 22.6≤ 22.6< 22.6≠ 22.6

   H_a: ? _________> 22.6≥ 22.6= 22.6≤ 22.6< 22.6≠ 22.6

2. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean?

   (2 decimals) ______

3. At ? = 0.01, test for a significant difference by completing the following.

   Calculate the value of the test statistic (2 decimals).

   _______

   The p-value is  (4 decimals)

4. Reject the null hypothesis?

   _____NoYes

   What is your conclusion?

   _________There is insufficient evidence to conclude that the population mean consumption of milk in Webster City is greater than the hypothesized mean.Conclude the population mean consumption of milk in Webster City is greater than the hypothesized mean.

1. The average height of adult females in the United States is 64.5 inches. Assume that σ = 2.8 inches and the distribution is approx. normal.
   1. Find the probability that a female selected at random is taller than 66 inches.
   2. If a sample of 25 females is selected, find the probability that their mean height would be taller than 66 inches.
   3. Which probability is smaller? What can you say about the variability of the average of sample vs. the variability of a single observation?

Assume that annual interest rates are 4 percent in the United States and 3 percent in Turkey. An FI can borrow (by issuing CDs) or lend (by purchasing CDs) at these rates. The spot rate is $0.6584/Turkish lira (TL).

a. If the forward rate is $0.6735/TL, how could the bank arbitrage using a sum of $7 million? What is the spread earned? (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616))

b. At what forward rate is this arbitrage eliminated? (Do not round intermediate calculations. Round your answer to 5 decimal places. (e.g., 32.16161))

According to actuarial tables, life spans in the United States are approximately normally distributed with a mean of about 75 years and a standard deviation of about 16 years.

1) Find the probability that a randomly selected person lives between 60 less than 90 years.

2) Find the probability that a randomly selected person lives less than 50 years or more than 100 years.

3) Find the probability that a randomly selected person lives exactly 75 years.

4) What age is considered to be the 99th percentile?

5) What age is considered to be in the 10th percentile?