Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information:

Σx = 15; Σy = 87.3; Σx² = 55; Σy² = 1556.09; Σxy = 273.8

(b) Find the equation of the least-squares line. (Round your answers to two decimal places.)

(c) Find r. Find the coefficient of determination r². (Round your answers to three decimal places.)

Consider the markets for low-skilled and high-skilled labor in the United States. Describe how each of the following developments is likely to affect the wages of low-skilled workers relative to high-skilled workers.

a) There is an increased demand for apps and smart appliances, which are produced by high-skilled workers.

b) The government pays employers a subsidy for each low-skilled worker they employ.

c) Some low-skilled workers get more education, and so become high-skilled workers.

a.) Define GDP.

b.) What are three reasons why GDP in the United States has increased over time?

c.) Consider a country with a simple economy that produces two goods: apples and bananas. Data is collected in two years: 2016 and 2017.

2016:

Price of Apples: $2 Quantity of Apples: 10

Price of Bananas: $3 Quantity of Bananas: $20

2017:

Price of Apples: $4 Quantity of Apples: $30

Price of Bananas: $6 Quantity of Apples: $60

Complete nominal GDP in this country in 2016 and 2017.

d.) Using the data from c.), compute real GDP in 2016 and 2017 using 2016 as the base year.

e.) Using your answers from c.) and d.), compute the GDP price deflator for 2016 and 2017.

f.) Compute the growth rate of real GDP between 2016 and 2017.

1. Write an essay under United states law describe in your own words the advantages, disadvantages and risks associated with the Federal Freedom of Information Act (FOIA). Make recommendations on how to improve the law and simplify the process when adopting limited budget resources. Put small introduction, body paragraph(body paragraph should have headlines for each part of the question) and then short conclusion. Giver your answer and explain WHY is it and WHY You think it is. Please limit your answer to three (3) double-space pages

• Please cite some outside source readings

Assume that at maximum hourly productions levels, the United States can produce either 8 yards of fabric or 4 bushels of wheat, whereas Japan can produce either 5 yards of fabric or 6 bushels of wheat. Based on this information,

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score ?μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.810.8 . Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 510510 .

In answering the questions, use ?z‑scores rounded to two decimal places.

(a) If you choose one student at random, what is the probability that the student's score is between 505505 and 515515 ? Use Table A, or software to calculate your answer.

(Enter your answer rounded to four decimal places.)

(b) You sample 3636 students. What is the standard deviation of the sampling distribution of their average score ?¯x¯ ? (Enter your answer rounded to two decimal places.)

(c) What is the probability that the mean score of your sample is between 505505 and 515515 ? (Enter your answer rounded to four decimal places.)

Labor Requirements Per Unit of OutputUnited StatesSaudi ArabiaOil108Personal Computers304

What does absolute advantage mean? How do you calculate absolute advantage?

Which country has an absolute advantage in producing oil? Explain using the data from the table.

Which country has an absolute advantage in producing personal computers? Explain using the data from the table.

What does comparative advantage mean? How do you calculate comparative advantage?

In what output(s) does the U.S. have a comparative advantage? Explain using the data from the table.

In what output(s) does Saudi Arabia have a comparative advantage? Explain using the data from the table.

What product should each country export? Why?

Criteria
Not Evident
Developing
Proficient
Distinguished
Weight
Define absolute advantage
2 Compute the absolute advantage each good, show your work with correct notation
2 Explain which country has the absolute advantage in each good and justify
4 Compute comparative advantage for each good, show you work with correct notation
2 Explain which country has the comparative advantage for each good and justify
4 Describe what good each country should export and justify
4 Articulation of response (citations, grammar, spelling, syntax, or organization that negatively impact readability and articulation of main ideas.)2
Total:/20

Labor Requirements Per Unit of Output
United States.    Saudi Arabia

Oil        10                           8

Personal Computers
            30                            4

What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 55 college students were surveyed and r = 9 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use α = 0.05.

(a.) What is the level of significance?

State the null and alternate hypotheses.

-H₀: p = 0.24; H₁: p < 0.24

-H₀: p = 0.24; H₁: p > 0.24

-H₀: p = 0.24; H₁: p ≠ 0.24

-H₀: p ≠ 0.24; H₁: p = 0.24

(b.) What sampling distribution will you use?

-The Student's t, since np > 5 and nq > 5.

-The Student's t, since np < 5 and nq < 5.

-The standard normal, since np < 5 and nq < 5.

-The standard normal, since np > 5 and nq > 5.

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.)

Sketch the sampling distribution and show the area corresponding to the P-value.

(d.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

-At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

-At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

-At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

-At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(e.) Interpret your conclusion in the context of the application.

-There is sufficient evidence at the 0.05 level to conclude that the true proportion of college students favoring the color blue differs from 0.24.

-There is insufficient evidence at the 0.05 level to conclude that the true proportion of college students favoring the color blue differs from 0.24.

(1 point) Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 9.4 and standard deviation 2.2. For applicants who actually entered medical school, the mean score was 10.2 and the standard deviation was 1.7.

(a) What percent of all applicants had scores higher than 12?
ANSWER:   

%

(b) What percent of those who entered medical school had scores between 10 and 11?
ANSWER:   

%

(1 point) The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 1025 and a standard deviation of 40 degrees.
If bricks are fired at a temperature above 1140, they will crack and must be disposed of. If the bricks are placed randomly throughout the kiln, the proportion of bricks that crack during the firing process is closest to

(Note: Please enter your answer in decimal form. For example, 5.02% should be entered as 0.0502.)

(1 point) Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=106μ=106 and σ=24σ=24.

(a) What proportion of children aged 13 to 15 years old have scores on this test above 96 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.)
Answer:

(b) Enter the score which marks the lowest 30 percent of the distribution.
Answer:

(c) Enter the score which marks the highest 10 percent of the distribution.
Answer:

Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 9.1 and standard deviation 2.6. For applicants who actually entered medical school, the mean score was 10.4 and the standard deviation was 1.6.

(a) What percent of all applicants had scores higher than 11?

ANSWER: __%

(b) What percent of those who entered medical school had scores between 9 and 12?

ANSWER: __%