Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

x 61 67 75 86 73 73

y 40 39 48 51 44 51

(b) Use a 5% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t critical t

(d) Find the predicted percentage y hat of successful field goals for a player with x = 71% successful free throws. (Use 2 decimal places.) %

(e) Find a 99% confidence interval for y when x = 71. (Use 1 decimal place.) lower limit % upper limit %

(f) Use a 5% level of significance to test the claim that β > 0. (Use 2 decimal places.) t critical t

(g) Find a 99% confidence interval for β and interpret its meaning. (Use 3 decimal places.) lower limit upper limit

On a recent trip to the SC DMV, I asked an employee to estimate what percentage of SC drivers arrive to renew their driver’s license with one that is currently expired. She responded that about 30 percent of all such renewals were of this type.

(a) Suppose you observe Y , the number of SC DMV customers seeking renewal to find the first one with an expired license. What is the distribution of Y? Plot the pmf and cdf of Y side by side (like in the notes). (Hint: You can just generate the Y from 1 to 20)

(b) Let W denote the number of SC DMV customers seeking renewal to find the 3rd one with an expired license. What is the distribution of W? Plot the pmf and cdf of W side by side (like in the notes).

(c) Obviously, in parts (a) and (b), you are assuming that Bernoulli trial assumptions hold. State what these are in this application (e.g., think of each customer seeking renewal as a “trial.”)

(d) In parts (a) and (b), find the probability that • among the first 6 customers seeking renewal, none have expired licenses. (Hint: use pgeom(y-1, p)) • you have to observe 10 or more customers seeking renewal to find the 3rd one with an expired license. (Hint: use pnbinom(w-r, r, p))

The interest rates given in the assignment are annual percentage rates.

1. Assume that starting on December 31, 2020, you deposit $2,800 in the bank and that you continue to deposit $2,800 every December 31st through December 31, 2050 (a total of 30 deposits). You are able to earn 4% interest per year. How much money will you have saved by December 31, 2050 after making the final deposit? (Hint: I recommend that you use the FV formula in Excel to solve this payment in arrears [sometimes called an ordinary annuity] problem. You can access the Help menu to learn how to use the FV function.)

2. Use the information from Question 1 except assume that you are able to earn 6% interest per year. How much money will you have saved by December 31, 2050?

3. Use the information from Question 1 except assume that you save every year through

December 31, 2060. How much money will you have saved by December 31, 2060?

The percentage of the labor force belonging to a union has steadily dropped over the last 4 decades. Why do you think unions have experienced the decline over this period? What is the future of the union movement? What can unions do to reverse the trend?

The Centers for Disease Control reported the percentage of people 18 years of age and older who smoke (CDC website, December 14, 2014). Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of .34.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02 (rounded up to the next whole number)? Use 95% confidence.

b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population (to 4 decimals)?

c. What is the 95% confidence interval for the proportion of smokers in the population (to 4 decimals)?

A fire has destroyed a large percentage of the financial records of the Excandesco Company. You have the task of piecing together information in order to release a financial report. You have found the return on equity to be 16.7 percent. Sales were $1,795,000, the total debt ratio was .33, and total debt was $660,000.

What are the total assets? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)

Total assets            $

What is the total equity? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)

Total equity            $

What is the net income? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)

Net income            $

What is the return on assets (ROA)? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Return on assets             %

1. Review the information in the table below and determine the percentage of use from each site. Round to two decimals places.
2. What is the percentage of physicians not using the electronic signature system? Round to the one decimal place.

PLEASE USE SPSS!!!

A metallurgy company wanted to investigate the effect of the percentage of ammonium and the stir rate on the density of the power produced. The results are as follows:

                                     STIR RATE

AMMONIUM(%)           100                   150

2                                 10.95                 7.54

2                                 14.68                 6.66

2                                 17.68                 8.03

2                                 15.18                 8.84

30                                12.65                 12.46

30                                15.12                 14.96

30                                17.48                 14.96

30                                15.96                 12.62

At the 0.05 level of significance

A, is there an interaction between the percentage of ammonium and the stir rate?

B, is there an effect due to the percentage of ammonium?

C, is there an effect due to the stir rate?

D, Plot the mean density for each percentage of ammonium for each stir rate

Suppose the pound's forward rate exhibits a percentage discount that is exactly equal to the amount by which the pound's interest rate rate exceeds the home currency rate. From a trader's viewpoint, covered interest arbitrage is not possible in this case. Question 15 options: a) True b) False Question 16 (1 point) The equilibrium state in which covered interest arbitrage is no longer possible is called interest rate parity. (IRP) Question 16 options: a) True b) False Question 17 (1 point) If interest rate parity exists, then the expected rate of return from a long term investment denominated in a foreign currency is the same as the expected rate of return of an investment denominated in the local currency. Question 17 options: a) True b) False Question 18 (1 point) Interest rate parity (IRP) states that foreign currency's forward premium or discount is roughly equal to the interest rate differential between the U.S. and the foreign country. Question 18 options: a) True b) False