Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the coefficient of variation for each fund. Round your answers to the nearest tenth.

Select one:

a. for x-values: 108.6%, and for y-values: 132.4%

b. for x-values: 194.1%, and for y-values: 236.8%

c. for x-values: 132.4,% and for y-values: 194.1%

d. for x-values: 108.6%, and for y-values: 236.8%

e. for x-values: 194.1%, and for y-values: 132.4%

John runs a computer software store. He counted 124 people who walked by his store in a day, 50 of whom came into the store. Of the 50, only 24 bought something in the store. Estimate the probability that a person who walks by the store will come in and buy something. Round your answer to the nearest hundredth.

Select one:

a. none of these choices

b. 0.19

c. 0.60

d. 0.48

e. 0.14

What percentage of the general U.S. population have bachelor's degrees? Suppose that the Statistical Abstract of the United States, 120th Edition, gives the following percentage of bachelor's degrees by state. For convenience, the data are sorted in increasing order.

Illinois has a bachelor's degree percentage rate of about 18%. Into what quartile does this rate fall?

Select one:

a. second quartile

b. third quartile

c. first quartile

d. first quartile as well as second quartile

e. none of these choices

You draw two cards from a standard deck of 52 cards and do not replace the first one before drawing the second. Find the probability of drawing a 7 for the first card and a king for the second card. Round your answer to the nearest thousandth.

Select one:

a. 0.155

b. 0.019

c. 0.006

d. 0.039

e. 0.083

4.

Profits and losses are determined by___________

adding total cost to total revenue

subtracting implicit costs from total revenue

subtracting total costs from total revenue

subtracting explicit costs from total revenue

5.

As a waiter you earn $60,000 per year, including tips. Someone offers you a new job as an economic consultant, which pays $100,000 per year. In order to be a consultant, you’ll need to rent an office and purchase supplies and new computer equipment. We can conclude which of the following?

If the explicit cost for the consulting job is $20,000 per year, your accounting profit is equal to $20,000.

If the explicit cost for the consulting job is $20,000 per year, your economic profit is equal to $80,000.

If the explicit cost for the consulting job is $30,000 per year, your accounting profit is equal to $10,000.

If the explicit cost for the consulting job is $25,000 per year, your economic profit is equal to $15,000.

6.

The cookie company in the mall hires workers to produce cookies. The workers are paid $75 per day, and the cost of renting the space in the mall is $250 per day.

If two workers are hired, the total variable costs are_____

$400

$200

$75

$150

7.

Billy Bob runs a seafood restaurant. Last year he earned $50,000 in revenue. He had explicit costs of $20,000. Billy Bob could have made $30,000 working for the county and could have received an additional $20,000 if he rented out his building and equipment. Calculate Billy Bob’s economic profit.

$20,000

-$20,000

$0

$30,000

8.

A pizza business has the cost structure described below. The firm’s fixed costs are $20 per day.

What are the firm’s marginal costs (MC) at an output of 35 pizzas?

$4.00

$0.57

$230.00

$9.20

9.

Billy Bob runs a seafood restaurant. Last year he earned $50,000 in revenue. He had explicit costs of $20,000. Billy Bob could have made $30,000 working for the county and could have received an additional $20,000 if he rented out his building and equipment. Calculate Billy Bob’s accounting profit and implicit costs are __________

$20,000 and $30,000, respectively.

$0, and $70,000, respectively.

$50,000 and $20,000, respectively.

$30,000, and $50,000, respectively.

10.

A pizza business has the cost structure described below. The firm’s fixed costs are $20 per day.

What are the firm’s average variable costs (AVC) at an output of 25 pizzas?

$0.80

$195

$7.80

$7.00

Match each scenario with one of the tests. (each test can be used more than once if needed). the tests are:

a). Two-sample comparison means of confidence interval or significance tests

b) .One-way anova

c). One-sample mean confidence interval or significance test

d). Match pairs confidence interval or Significance test

e). No interference method needed

Match the tests to these scenarios:

____ A researcher gathered data on the number of hours of sleep for German Shepherds, Poodles, and Golden Retrievers. Is there evidence that the populations' mean number of hours of sleep are NOT the same?

____ Is there evidence that the mean of the differences between the weight of a person, before and after following a high protein diet for four months, is greater than five pounds?

_____ Is the mean number of people in apartment in building A larger than the mean number of people in apartment B? The landlord of the two buildings has access to data from all of the apartments.

____ what is the average height of the ten trees that were planted last year on first street?

_____ In Canada, what is the mean number of hours that passengers spend in the airport while waiting for their flight to take off?

What can be done to avoid bank runs?

23) In a 5000 m race, the athletes run 1212 laps; each lap is 400 m. Kara runs the race at a constant pace and finishes in 17.9 min. Hannah runs the race in a blistering 15.3 min, so fast that she actually passes Kara during the race.

How many laps has Hannah run when she passes Kara?​

Suppose you ran your elevator simulation program N times with different random number seeds to generate N independent measurements of the average travel time
X₁, X₂,⋅⋅⋅, X_N

a. State the correct formula for the 95% confidence interval for the global average travel time across all N runs assuming that each run of your simulation program was long enough to assume that the average travel times across different runs have an i.i.d. normal distribution. [HINT: Remember to use the t-distribution, because your formula only has access to the sample variance.]

b. Suppose you increase the total number of runs, N, from 9 to 36. How does that affect the confidence interval in part (a), assuming the sample mean and sample variance do not change significantly.

c. Now suppose you must reduce the width of the confidence interval to 1/10th of its size when N = 36. Estimate how many additional runs of your simulation will be needed to satisfy this requirement.

1. An instructor grades exams, 20%; term

paper, 30%; final exam, 50%. A student had grades of

83, 72, and 90, respectively, for exams, term paper, and

final exam. Find the student’s final average. Use the

weighted mean.

2. Stories in the Tallest Buildings The number of

stories in the 13 tallest buildings for two different

cities is listed below. Which set of data is more

variable?

Houston: 75, 71, 64, 56, 53, 55, 47, 55, 52, 50, 50, 50, 47

Pittsburgh: 64, 54, 40, 32, 46, 44, 42, 41, 40, 40, 34, 32, 30

3. Americans spend an average of

3 hours per day online. If the standard deviation is

32 minutes, find the range in which at least 88.89%

of the data will lie. Use Chebyshev’s theorem.

4. The average farm in the United States in

2004 contained 443 acres. The standard deviation is

42 acres. Use Chebyshev’s theorem to find the

minimum percentage of data values that will fall in

the range of 338–548 acres.

5. The average age of senators in

the 108th Congress was 59.5 years. If the standard

deviation was 11.5 years, find the z scores

corresponding to the oldest and youngest senators:

Robert C. Byrd (D, WV), 86, and John Sununu

(R, NH), 40.

      7. Which score indicates the highest relative position?

a. A score of 3.2 on a test with mean 4.6 and

s 1.5

b. A score of 630 on a test with mean 800 and

s 200

c. A score of 43 on a test with _mean 50 and s 5

Use the Happy 1 variable for this exercise. Suppose someone claims the population mean is 55, and the standard deviation is 10.

PART 1 - For now, assume both of the claims about the population are correct.

1a. Given the assumed pop. mean and st.dev, calculate the probability of observing a value above the number for your first data point in the data set. (which is 36)

1b. Suppose you collected 8 new data points in a new sample. Calculate the probability that the mean of these 8 new data points is above the number for your first data point in your file.

1c. If this is a normally distributed variable, above what value should you find 70% of data points? How many of the values from your data set are above this value?

1d. If this is a normally distributed variable, between what two numbers (centered around the assumed mean) should you find 68% of data points? What percentage of your data points are between these numbers?

1e. Think about your answers to 1c and 1d. Does this variable appear to be normally distributed with this mean and standard deviation?

(a) Sally runs an antique store in Causeway Bay. One night, after closing of the store, she brought all the cash received during the day to deposit into the bank. In a lane not far from her store, a man in black jacket suddenly rushed past Sally, pulled on her handbag to wrench it from her hands. Losing her bag, Sally immediately chased after the man. In desperate attempt to escape, the man kicked Sally vigorously. Sally fell on the ground and was seriously injured. Fortunately, the man was soon captured by some pedestrians passing by and sent to the police station.

Required:

(i) If the man in black jacket is formally charged for robbery, explain whether the case involves civil or criminal law. Discuss the characteristics of this kind of law.

(ii) If Sally wants to claim damages against the robber for her medical expenses amount to HK$100,000, explain whether the case involves civil or criminal law. Which court or tribunal will hear Sally’s case? Explain this court or tribunal’s specific jurisdiction relevant to the case.

(b) Under the common law system in Hong Kong, when a magistrate sitting in the Magistrates’ Court decides a case, he finds that there is a similar case previously decided by the Court of Appeal, is he bound to follow that case to arrive at the decision? Explain.

(c) Explain the “Mischief Rule” for interpretation of legislation under the common law practice. Please cite a relevant case of the mischief rule.

Jenna runs a small boutique in Capitola. She tells one of her suppliers that she is willing to pay $6 for a pair of wool hand warmers and not a dime more. On the basis of this information, what can you conclude about her price elasticity of demand for wool hand warmers?

Group of answer choices

It is somewhat elastic.

It is perfectly elastic.

It is perfectly inelastic.

The price elasticity coefficient is 0.