Feminized faces in TV commercials. Television commercials most often employ females or “feminized” males to pitch a company’s product. Research published in Nature (August 27 1998) revealed that people are, in fact, more attracted to “feminized” faces, regardless of gender. In one experiment, 50 human subjects viewed both a Japanese female face and a Caucasian male face on a computer. Using special computer graphics, each subject could morph the faces (by making them more feminine or more masculine) until they attained the “most attractive” face. The level of feminization x (measured as a percentage) was measured.

a. For the Japanese female face, x = 10.2% and s = 31.3%. The researchers used this sample information to test the null hypothesis of a mean level of feminization equal to 0%. Verify that the test statistic is equal to 2.3.

b. Refer to part a. The researchers reported the p-value of the test as p = .021. Verify and interpret this result.

(I dont understand part b)

Following complaints about the working conditions in some apparel factories both in the United States and abroad, a join government and industry commission recommended in 1998 that companies that monitor and enforce proper standards be allowed to display a “No Sweat” label on their products. Does the presence of these labels influence consumer behavior? A survey of U.S. residents aged 18 or older asked a series of questions about how likel they would be to purchase a gament under various conditions. For some conditions, it was stated that the garment had a “No Sweat” label; for others, there was no mention of such a label. On the basis of the responses, each person was classified as a “label use” or a “label nonuser” there were 296 women surveyed. Of these, 63 were label users. On the other hand, 27 of 251 men were classified as users.

(a) Give a 95% confidence interval for the difference in the proportions.

(b) You would like to compare the women with the men. Set up appropriate hypotheses, and find the test staitistic and the P-value. What do you conclude?

Please provide the Stata commands and outputs where necessary, thank you.

4. The following are data on

y = quit rate per 100 employees in manufacturing

x = unemployment rate

The data are for United States and cover the period 1990-2002.

(a) Estimate the regression and report the results

(b) Construct a 95% confidence interval for β.

(c) Test the hypothesis H₀ : β = 0 against the alternative β=0 at the 5% significance level.

(d) Test Normality of the residuals using Jarque-Bera test.

(e) What is likely to be wrong with the assumptions of the classical normal linear model in this case? Discuss.

Maradona is, for those of you who don't follow football, history's best football player, as evidenced by his majestic goal against the Brits (do yourself a favour and google it... but after the test, of course). Suppose Maradona had the chance of setting up a football academy, which he would run himself and would occupy all of his time. He could set it up in 86, which was the peak of his career and footballing prowess. The monetary operating costs of running it at that time are fairly low (there is alot of land available, there isn't alot of technology to invest into the academy, etc). Alternatively, he could set it up in 1998, a year after his definitive retirement. At that time land is scarcer, and technology needs are higher, so the monetary operating costs of the academy would be higher. However, an economist argues that it is cheaper for Maradona to run his academy in 98 than in 86. Question: explain why an economist would claim it is cheaper to run the academy in 98 than in 86.

Maradona is, for those of you who don't follow football, history's best football player, as evidenced by his majestic goal against the Brits (do yourself a favour and google it... but after the test, of course). Suppose Maradona had the chance of setting up a football academy, which he would run himself and would occupy all of his time. He could set it up in 86, which was the peak of his career and footballing prowess. The monetary operating costs of running it at that time are fairly low (there is alot of land available, there isn't alot of technology to invest into the academy, etc). Alternatively, he could set it up in 1998, a year after his definitive retirement. At that time land is scarcer, and technology needs are higher, so the monetary operating costs of the academy would be higher. However, an economist argues that it is cheaper for Maradona to run his academy in 98 than in 86.

Question: explain why an economist would claim it is cheaper to run the academy in 98 than in 86.

The worksheet "grocery" of "Assignment #4-2 (DATA)" gives the median store size (in square feet) by year for grocery stores. Note that this file is the same as the one given in Question 1.

Step 1: Run the simple linear regression and find the slope of the sample regression equation. Give your answer to 4 decimal places.

Answer- .6783

Step 2- According to the sample regression line, a point estimate for the median grocery store size in 2012 is: (Give your answer to 1 decimal place.)

Answer- 49.9

Step 3- The standard error of fit is approximately?? (Give your answer to 3 decimal places.)

Year # AIDS cases diagnosed # AIDS deaths

Graph "year" vs. "# AIDS deaths." Do not include pre-1981. Label both axes with words. Scale both axes. Calculate the following. (Round your answers to the nearest whole number. Round the correlation coefficient r to four decimal places.)

a =

b=

r=

n=

Is it possible to provide health care without rationing? In 1948 every household in Britain received a leaflet stating that the new National Health Service would "provide you with all medical, dental and nursing care. Everyone - rich or poor, man, woman, or child - can use it or any part of it. There are no charges, except for a few special items."

a) This pioneering system of health care provision, which celebrated its 60th anniversary in 1998, was based on the assumption that the quantity of health care that would be demanded at a zero price is finite. The quantity demanded nevertheless overwhelms the quantity supplied at the zero price in Britain and all the countries that subsequently initiated similar systems and found themselves confronted by shortages of health care services. How would a shortage show itself in such a situation?

b) If health care is made available to everyone at a zero money price, and at this price the quantity demanded exceeds the quantity supplied, how will health care be rationed?

c) What system of rationing would you recommend?

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How much money would you have by the end of 2019? Problem 4. Hard problem: Suppose that you invested $x in 1980. Plot the amount of money you would have in 2019 for all values of $x between $0 and $100,000. Solve using R Studio