As part of a research program for a new cholesterol​ drug, a pharmaceutical company would like to investigate the relationship between the ages and LDL​ (low-density lipoprotein) cholesterol of men. The accompanying data set shows the ages and LDL cholesterol levels of seven randomly selected men. Construct a​ 95% prediction interval to estimate the LDL cholesterol level of a 28​-year-old man.

Age

24

37

27

31

42

32

42

Cholesterol

141

178

160

199

158

142

205

Determine the upper and lower limits of the prediction interval.

You are considering the following two projects and can take only one. Your cost of capital is

11.1%.

The cash flows for the two projects are as follows​ ($ million):

a. What is the IRR of each​ project?

b. What is the NPV of each project at your cost of​ capital?

c. At what cost of capital are you indifferent between the two​ projects?

d. What should you​ do?

You are choosing between two projects. The cash flows for the projects are given in the following table​ ($ million):

a. What are the IRRs of the two​ projects?

b. If your discount rate is 5.4%​, what are the NPVs of the two​ projects?

c. Why do IRR and NPV rank the two projects​ differently?

a. What are the IRRs of the two​ projects?

​(Round to one decimal​ place.)

Two cylinders of oxygen are connected to each other by a valve. The first tank is 50 liters in volume and contains oxygen at 27 °C and a pressure of 140.37 kPa, and the corresponding values for the other tank are 30 liters, 89 °C and 62.73 kPa. If the valve connecting the tanks is opened and the tanks are allowed to reach some equilibrium condition with the temperature being 50 °C. Answer the following: (a) the equilibrium pressure, (b) the heat transfer between both tanks and the surroundings and the direction of the heat transfer, and (c) the internal energy in the final state if the tanks were insulated.

Typical incoming telephone call to your catalog sales force results in a mean order of &28.63 with a standard deviation of %13.91. You may assume that orders are received independently of one another.

1.An operator is expected to handle 110 incoming calls tomorrow. Find the mean and standard deviation of the resulting total order.

2. Find the approximate probability that the operator in part 1 will generate a total order of more than %3300 tomorrow.

3. Find the approximate probability that the operator in part 1 will generate an average order between %27 and %29 tomorrow.

From studies it is known that the more the time spent running on a treadmill the more the

         calories will be burnt. Let ρ (rho) denotes the population linear correlation coefficient between

         time spent running on treadmill and calories burnt in the gym then for H₀: ρ=0 vs H₁: ρ≠0 has

         to be verified to support the previous studies. To verify this relationship a random sample of 27

         individuals from gym is selected. Given α (alpha) = 0.05, the minimum simple linear correlation

         coefficient (r) that will reject H₀ will be

         a. 0.3819

         b. 0.3809

         c. 0.3815

         d. 0.3799

A sample of test scores is normally distributed with a mean equal to 22 and a variance equal to 25.

Part (a) What percentage of scores are between 17 and 27? (Round your answer to two decimal places.)

____%

Part (b) What raw score is the cutoff for the top 10% of scores? (Round your answer to one decimal place.)

Part (c) What is the proportion below 15? (Round your answer to four decimal places.)

Part (d) What is the probability of a score less than 29? (Round your answer to four decimal places.)

A manufacturer produces both a deluxe and a standard model of automatic sander designed for home use. Selling prices obtained from a sample of retail outlets follow.

What is the 95% confidence interval for the difference between the mean prices of the two models (to 2 decimals)?

(X , X)

1. The president of a large university has been studying the relationship between male/female supervisory structures in his institution and the level of employees’ job satisfaction. The results of a recent survey are shown in the table below. Conduct a test at the 5% significance level to determine whether the level of job satisfaction depends on the boss/employee gender relationship.

                                                                                        Boss/Employee

A sample of final exam scores is normally distributed with a mean equal to 23 and a variance equal to 16.

Part (a)

What percentage of scores are between 19 and 27? (Round your answer to two decimal places.)

Part (b)

What raw score is the cutoff for the top 10% of scores? (Round your answer to one decimal place.)

Part (c)

What is the proportion below 17? (Round your answer to four decimal places.)

Part (d)

What is the probability of a score less than 29? (Round your answer to four decimal places.)