The Graduate Record Examination (GRE) is a standardized test commonly taken by graduate school applicants in the United States. The total score is comprised of three compo- nents: Quantitative Reasoning, Verbal Reasoning, and Analytical Writing. The first two components are scored from 130 - 170. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. (a) A student scores 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. Relative to the scores of other students, which section did the student perform better on? (b) Calculate the student’s percentile scores for the two sections. What percent of test takers per- formed better on the Verbal Reasoning section? (c) Computethescoreofastudentwhoscoredinthe80thpercentileontheQuantitativeReasoning section. (d) Compute the score of a student who scored worse than 70% of the test takers on the Verbal Reasoning section.

According to Nielsen Media Research, the average number of hours of TV viewing by adults (18 and over) per week in the United States is 36.07 hours. Suppose the standard deviation is 8.8 hours and a random sample of 48 adults is taken.

a. What is the probability that the sample average is more than 35 hours?

b. What is the probability that the sample average is less than 36.6 hours?

c. What is the probability that the sample average is less than 28 hours? If the sample average actually is less than 40 hours, what would it mean in terms of the Nielsen Media Research figures?

d. Suppose the population standard deviation is unknown. If 75% of all sample means are greater than 34 hours and the population mean is still 36.07 hours, what is the value of the population standard deviation? (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

You are the manager of a company that operates internationally providing agricultural equipment that has been manufactured and assembled in Canada. You have sold your products in the United States for many years and are now looking to enter other markets.
Your company has decided to enter the Argentinean market. You have decided to use a wholesaler, who will distribute it to the retail market. The potential size of the market is $10,000,000 USD per year. However, your wholesaler will not assume the risk of invoices charging USD and they want at least 60 days before paying. They argue that they will have to give their retailers 60 days to pay and their retailers will only pay them in pesos. Argentina has just come out of a currency crisis and your Canadian bank has warned you of possible severe currency fluctuations. What payment and currency strategy will you suggest to your senior management? Explain your answer (no calculations involved).                                                     

The Graduate Record Examination (GRE) is a standardized test commonly taken by graduate school applicants in the United States. The total score is comprised of three compo- nents: Quantitative Reasoning, Verbal Reasoning, and Analytical Writing. The first two components are scored from 130 - 170. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. (a) A student scores 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. Relative to the scores of other students, which section did the student perform better on? (b) Calculate the student’s percentile scores for the two sections. What percent of test takers per- formed better on the Verbal Reasoning section? (c) Computethescoreofastudentwhoscoredinthe80thpercentileontheQuantitativeReasoning section. (d) Compute the score of a student who scored worse than 70% of the test takers on the Verbal Reasoning section.

6.27  Average hours per week listening to the radio. The Student Monitor surveys 1200 undergraduates from four-year colleges and universities throughout the United States semiannually to understand trends among college students.¹¹ Recently, the Student Monitor reported that the average amount of time listening to the radio per week was 11.5 hours. Of the 1200 students surveyed, 83% said that they listened to the radio, so this collection of listening times has around 204 (17% × 1200) zeros. Assume that the standard deviation is 8.3 hours.

1. (a) Give a 95% confidence interval for the mean time spent per week listening to the radio.

2. (b) Is it true that 95% of the 1200 students reported weekly times that lie in the interval you found in part (a)? Explain your answer.

3. (c) It appears that the population distribution has many zeros and is skewed to the right. Explain why the confidence interval based on the Normal distribution should nevertheless be a good approximation.

Jacksonville Corp. is a U.S. based firm that needs $1,000,000. It has no business in Japan but is considering one-year financing with Japanese yen because the annual interest rate would be 3 percent versus 6 percent in the United States. Assume that interest rate parity exists.

a). Can Jacksonville benefit from borrowing Japanese yen and simultaneously purchasing yen one year forward to avoid exchange rate risk? Explain.

b). Assume that Jacksonville does not cover its exposure and uses the forward rate to forecast the future spot rate. Determine the expected effective financing rate. Should Jacksonville finance with Japanese yen? Explain.

c). Assume that Jacksonville does not cover its exposure and expects that the Japanese yen will appreciate by either 4 percent, 2 percent, or 1 percent, and with equal probability of each occurrence. Use this information to determine the probability distribution of the effective financing rate. Should Jacksonville finance with Japanese yen?

********I NEED THE BELL SHAPED CURVE, PLEASE DON'T ANSWER IF YOU CAN'T INCLUDE***********

********I NEED THE BELL SHAPED CURVE, PLEASE DON'T ANSWER IF YOU CAN'T INCLUDE***********

********I NEED THE BELL SHAPED CURVE, PLEASE DON'T ANSWER IF YOU CAN'T INCLUDE***********

********I NEED THE BELL SHAPED CURVE, PLEASE DON'T ANSWER IF YOU CAN'T INCLUDE***********

According to the Organization for Economic Co-Operation and Development (OECD), adults in the United States worked an average of 1,805 hours in 2007. Assume the population standard deviation is 395 hours and that a random sample of 70 U.S. adults was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be more than 1,775 hours? c. What is the probability that the sample mean will be between 1,765 and 1,820 hours? d. Would a sample mean of 1,815 hours support the claim made by the OECD? Explain?

Jacksonville Corp. is a U.S.‑based firm that needs $1,000,000. It has no business in Japan but is considering one‑year financing with Japanese yen, because the annual interest rate would be 3 percent versus 6 percent in the United States. Assume that interest rate parity exists.

a). Can Jacksonville benefit from borrowing Japanese yen and simultaneously purchasing yen one year forward to avoid exchange rate risk? Explain.

b). Assume that Jacksonville does not cover its exposure and uses the forward rate to forecast the future spot rate. Determine the expected effective financing rate. Should Jacksonville finance with Japanese yen? Explain.

c). Assume that Jacksonville does not cover its exposure and expects that the Japanese yen will appreciate by either 4 percent, 2 percent, or 1 percent, and with equal probability of each occurrence. Use this information to determine the probability distribution of the effective financing rate. Should Jacksonville finance with Japanese yen?

A student at a four-year college claims that average enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 two-year colleges surveyed, the average enrollment was 5068 with a standard deviation of 4777. Of the 35 four-year colleges surveyed, the average enrollment was 5466 with a standard deviation of 8191.† Conduct a hypothesis test at the 5% 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.)

A) State the distribution to use for the test. (Enter your answer in the form zor t_dfwhere dfis the degrees of freedom. Round your answer to two decimal places.)

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