1.Potatoes are available in the United States and in Mexico. Income has risen by 10 percent in each country. The demand for potatoes has increased by 2 percent in the United States and by 17 percent in Mexico. What can be concluded?

A. Potatoes are normal goods in both countrie

B. Potatoes are normal goods in the United States but inferior goods in Mexico.

C. Potatoes are inferior goods in the United States but normal goods in Mexico.

D. Potatoes are inferior goods in both countries.

2.Beer and pretzels are complements. There is a decrease in the supply of beer. What would we expect to see?

A. An increase in the price of beer and an increase in the demand for pretzels

B. An increase in the price of beer and a decrease in the demand for pretzels

C. A decrease in the price of beer and an increase in the demand for pretzels

D. A decrease in the price of beer and a decrease in the demand for pretzels

3.Which of the following is true of the movement along a demand curve?

A. Changes in price on quantity demanded do not take the form of a movement along the demand curve

B. The effect of a change in price on quantity demanded takes the form of a movement along the demand curve.

C. The shift of any “other” variables does not constitute movement along a demand curve.

D. Changes in income do not take the form of a movement along the demand curve

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 18 with a standard deviation of six. The mean age of the 130 United States prostitutes upon entering prostitution was 20 with a standard deviation of eight. Is the mean age of entering prostitution in Canada lower than the mean age in the United States? Test at a 1% significance level.

NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

• Part (a)

  State the null hypothesis.

  H₀: μ_C ≠ μ_US

  H₀: μ_C = μ_US

      

  H₀: μ_C < μ_US

  H₀: μ_C > μ_US

• Part (b)

  State the alternative hypothesis.

  H_a: μ_C > μ_US

  H_a: μ_C = μ_US

      

  H_a: μ_C ≠ μ_US

  H_a: μ_C < μ_US

• Part (c)

  In words, state what your random variable

  X_C − X_US

  represents.

  X_C − X_US

  represents the mean difference in the age of entering prostitution in Canada and the United States.

  X_C − X_US

  represents the mean age of entering prostitution in Canada and the United States.    

  X_C − X_US

  represents the difference in the ages of entering prostitution in Canada and the United States.

  X_C − X_US

  represents the difference in the mean age of entering prostitution in Canada and the United States.

• Part (d)

  State the distribution to use for the test. (Enter your answer in the form z or t_df where df is the degrees of freedom. Round your answer to two decimal places.)

• Part (e)

  What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
  ---Select--- z t =

• Part (f)

  What is the p-value?

  p-value < 0.0100.010 < p-value < 0.050    0.050 < p-value < 0.100p-value > 0.100

  
  
  Explain what the p-value means for this problem.If

  H₀

  is false, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 more than the sample mean age of entering prostitution in the United States.If

  H₀

  is true, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 less than the sample mean age of entering prostitution in the United States.    If

  H₀

  is true, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 more than the sample mean age of entering prostitution in the United States.If

  H₀

  is false, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 less than the sample mean age of entering prostitution in the United States.

• Part (g)

  Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

• Part (h)

  Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
  α =
  
  (ii) Decision:

  reject the null hypothesisdo not reject the null hypothesis    

  
  (iii) Reason for decision:

  Since p-value < α, we do not reject the null hypothesis.Since p-value > α, we do not reject the null hypothesis.    Since p-value > α, we reject the null hypothesis.Since p-value < α, we reject the null hypothesis.

  
  (iv) Conclusion:

  There is sufficient evidence to show that the mean age of entering prostitution in Canada is lower than the mean age in the United States.There is not sufficient evidence to show that the mean age of entering prostitution in Canada is lower than the mean age in the United States.    

• Part (i)

  Explain how you determined which distribution to use.

  The standard normal distribution will be used because the samples involve the difference in proportions.The t-distribution will be used because the samples are dependent.    The standard normal distribution will be used because the samples are independent and the population standard deviation is known.The t-distribution will be used because the samples are independent and the population standard deviation is not known.

”Socioeconomic inequalities in low birth weight are larger in the US than in the United Kingdom, Canada, and Australia, and income inequality is on the rise globally, with the United States leading the way.” Why is this? Why is the US leading the way in disparities? Is our healthcare system to blame?

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 20 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 22 with a standard deviation of eight. Is the mean age of entering prostitution in Canada lower than the mean age in the United States? Test at a 1% significance level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

1.)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

2.)What is the p-value? (Round your answer to four decimal places.)

3.)Explain what the p-value means for this problem.

a- If H0 is false, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 more than the sample mean age of entering prostitution in the United States.

b- If H0 is true, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 more than the sample mean age of entering prostitution in the United States.

c- If H0 is true, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 less than the sample mean age of entering prostitution in the United States.

d- If H0 is false, then there is a chance equal to the p-value that the sample mean age of entering prostitution in Canada is at least 2 less than the sample mean age of entering prostitution in the United States.

4.) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

5.) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.

(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)

(iii) Reason for decision:

a- Since p-value > α, we reject the null hypothesis.

b- Since p-value > α, we do not reject the null hypothesis.

c-Since p-value < α, we do not reject the null hypothesis.

d-Since p-value < α, we reject the null hypothesis.

The IQ scores of MBA students follow a normal distribution with a population mean of 120 points and a population standard deviation of 12. A random sample of 36 MBA students is chosen.

1. What is the probability that a randomly chosen sample of 36 MBA students has an average IQ less than 115?

2. What is the 91st percentile of sample average IQ’s of size 36 taken from the population of MBA students?

3. Calculate the bounds that determine the middle 72% of sample average IQ’s of size 36 taken from the population of MBA students?

1. 120 + 0.5284
2. 120 + 0.72
3. 120 + 1.28
4. 120 + 2.16
5. 120 + 12.96

*Please do not answer if you've already did. I'm getting a second opinion on this.

MBA Inc is expected to have dividend distribution policies as below:
- MBA Inc will pay out cash dividend £1 per share per year in the next two years
- In the end of the 3rd year, MBA Inc will pay out cash dividend £2 per share
- From the end of the 3rd year, MBA Inc will continuously pay cash divided at 5% constant growth rate per annum.

What is the theoretical price of stock of MBA Inc if the required rate of return is 10% per annum? Please show your working.

BROWNSVILLE, Tex., May 9—The 35 women who sort and box shrimp at TexMex Cold Storage Inc. are quick with their hands. With the help of machines, they can grade and package for freezing about 6,000 pounds of shrimp an hour. Their base pay is $2.30 an hour; their take‐home pay: $2.12 an hour. The 160 women who peel and devein shrimp at Camarones Selectos S.A., just across the border in Matamoros, Mexico, are also quick with their hands. Without machines, they can remove the shells and back veins from about 2,000 pounds of shrimp an hour. Their hale pay: 99 cents an hour: their take‐ home pay: 65 cents an hour. It is that basic disparity in wages that both lures Mexican workers into the United States and propels United States labor intensive industries into Mexico. United States labor union officials charge that both movements are costing United States workers jobs at a time when unemployment rates remain high. Hundreds of United States companies have closed factories in other parts of the country over the last decade and set up new plants along the border to take advantage of low labor costs on the Mexican side and abundant minimum‐wage labor on the United States side. The border, in fact, has become an open sore in the Carter Administration's efforts to put Americans back to work, formulate a new immigration police and deal with pressures for trade embargoes. Although many companies have simply moved their labor intensive jobs to such places as South Korea. Taiwan and Hong Kong. American union officials have focused much of their attention on Mexican workers, saying that they in particular are stripping jobs away from American workers. But a look at the shrimp industry around Brownsville, which calls itself “Shrimp Capital of the World,” shows a different picture. Virtually all the jobs requiring labor are performed by men and women of Mexican origin. Some are United States citizens. Many are Mexican citizens living legally on this side of the border. Some are Mexican citizens who live in Mexico and commute to jobs here or work in factories set up in Mexico by United States companies. Shrimp boat owners and shrimp company processors contend that they simply cannot find many United States citizens who are willing to work at jobs, which are often part time, for wages at the Federal minimum of $2.30 an hour or slightly higher. But for the most labor‐intensive chores of peeling and deveining shrimp, processors avoid even United States minimum wages by trucking their shrimp across the border into Mexico. Wages of 99 cents an hour seem paltry by United standards, but they are above average for workers in Mexico. Americans and Mexicans who run processing plants, as well as a variety of other factories on the Mexican side of the border, contend that these plants actually save jobs in the United States. Without them, they contend, many American companies would be forced to move their entire operation to foreign soil in order to remain competitive. To illustrate how this works, one can follow the circuitous path of a load of shrimp caught the other day in the Gulf of Mexico. With a permit that costs $2,006 a year, United States shrimp boats can net shrimp in Mexican waters. The boats have three‐man crews of a captain, rigman and header. Many of the rig men are Mexican‐ Americans. Most of the headers, who remove the heads from shrimp and clean the boats, are Mexicans. Page 4 of 5 Shrimp Processor's View Lawrence Touchet, manager of Gulf Shrimp Processors, hires 50 to 60 Mexicans in the peak season to unload the boats, ice the shrimp and load them onto trucks. “I don't care how many people are supposed to be out of work, you just can't get Americans to do this work,” he said. The shrimp are then trucked to TexMex Cold Storage for sorting, sizing, boxing and freezing. Ed Walker, the company's production manager, agrees with Mr. Tochet. “What with welfare, food, stamps, unemployment checks and so on, people don't want to work over here,” he said. The 35 women on his sorting and packaging line work odd hours, depending on the amount of shrimp caught. All of them are of Mexican origin, and about a dozen are Mexican citizens holding United States work permits. If the shrimp buyer wants his shrimp shelled and deveined, he might get in touch with Robert and Michael Reynolds, a father and son, who run a trucking company out of Brownsville. Their trucks pick up the frozen boxes of shrimp and carry them across the border bridge into Matamoros to Camarones Selectos, which they also own and operate. There, the shrimp are unloaded and thawed, then placed on large stainless steel tables where 160 women remove the shells and veins at a rate of eight shrimp a minute. The women, all Mexican citizens, work eight hours a day, five or six days a week. They are paid 175 pesos a day, or $7.95 at the current exchange rate. That figure includes most benefits. The cleaned shrimp are then bagged and trucked back across the border into Brownsville. Large numbers of them then go to a breading plant that also employs hundreds of Mexican‐American and Mexican women. After breading, the shrimp are frozen again and packaged. The label on the package most often reads, “Product of U.S.A.” Sometimes the shrimp travel a route that appears to have been choreographed by Mack Sennett. For example, shrimp caught by Mexican shrimp boats out of Tampico, are trucked north into the United States for sorting, freezing and storage in Brownsville. But if the buyer wants them cleaned, they are loaded back onto trucks and carried back across the border to Matamoros. Then they are trucked back across the border into the United States for final packaging. Again, the label most often reads, “Product of U.S.A.”

Q1. How is the marginal product of the last shrimp peeler hired in the U. S. firm, different from the marginal product of the last shrimp peeler hired in the firms on the Mexican side of the border? Justify your answer with the evidence given in the article

Q2. Illustrate any example from your company/firm/work experience where the company’s management has taken similar measures to optimize its resources. (Construction company point of view)