Consider as SAMPLE data: 52,84,86,91,96,96,98,100,103,105,109.

1) What graph is better - bar graph or histogram?

2) What's sum of squares?

3) What's sample standard deviation?

4) What's sample variance?

Now, consider as POPULATION data: 52,84,86,91,96,96,98,100,103,105,109 (same).

1) What's sum of squares?

2) What's population standard deviation?

3) What's population variance?

Two projects cost 100000 to start and produce cash flows over the next 5 years according to this schedule. The cost of capital is 6.5%

Year Project1 Project2

1 30000 25000

2 35000 25000

3 40000 25000

4 30000 15000

5 25000 15000

What is the NPV of project 2?

What is the NPV for project 1?

Two long straight wires separated by 0.10 m carry current in the direction as shown. If I₁=12 A and I₂= 8 A, find the magnitude and the direction of the net magnetic field

a) at point A at a distance of 4 cm from wire 2 in the region between wire 1 and 2

b) at point B at a distance 5 cm left of wire 1.

                          Year 1                             Year 2

                 Quantity     Price          Quantity    Price

Oranges      100             $5                 150            $5

Pears           100             $3                   75            $4

a. What is the growth rate of constant-dollar real GDP using year 1 as the base year?

b. What is the growth rate of constant-dollar real GDP using year 2 as the base year?

Let assume that a consumer has a utility function u(x, y) = xy, and px = 1 dollar, py = 2 dollars and budget=50. Derive the followings. (3 points each)

1) Marshallian demands of x and y

2) Hicksian demands of x and y

3) Indirect utility function

4) Expenditure function

5) Engel curve

If a diploid cell is 2N=8, draw the chromosomes of the following. How many chromosomes and chromatids would you see on the cells in the following stages.

a) Nullisomic for chromosome 2 in G1

b) Monosomic for chromosome 1 in G1

c) Tetrasomic for chromosome 4 in mitotic metaphase

d) Trisomic for chromosome 2 in G2

e) Triploid in metaphase 1 of meiosis

Consider the potential well defined by

V(x)= {0 -L/2<x<L/2}

{Vo x>L/2 or x<L/2}

1. For E>Vo (unbound state, find the solutions to the time-independent Schroedinger equation for a particle incident from the left and traveling to the right(Use boundary conditions to evaluate coefficients A-F)

2. Find expressions for the transmission and reflection as a function of energy.

3. Find the necessary conditions for perfect transmission. Interpret this condition on physical grounds (note that k=2pi/gamma, which reflects the wave vector ,k, to the wavelength).

20. A student is interested in studying the impact of the number of books students referred to in a statistics course and the number of lectures they attended on the final grade on the course. A sample of 25 students is selected and the data are given below.

Use the F test to determine the overall significance of the relationship. What is your conclusion at the 0.05 level of significance? Use the t test to determine the significance of each independent variable? What are your conclusions at the 0.05 level of significance?

Entity A leased a machine on January 1, 2018, from LeaseCo for a four-year period. The lease agreement calls for annual payments in the amount of $360,000 on January 1, 2018 and on December 31 of each year beginning on December 31, 2018. The machine's estimated useful life is expected to be four years with no residual value. The appropriate interest rate for this lease is 12%.

1. Calculate the amount to be recorded as a right-of-use asset and the associated lease liability.

2. Using Excel, prepare an amortization schedule for this lease.

3. Prepare the journal entries at inception of the lease and for the first year (2019).

4. Now assume that the appropriate interest rate for this lease is 8%. Perform steps (1) and (2) again and comment on differences.

5. If this were an operating lease, how would the expense of the lease be reflected in the income statement? Would it be the same each year?   When would you expect the total lease expense to be greater with a finance lease?

You have the following information about the current one-year spot rate and the expected one-year T-note rates during the next three years. The one year spot rate is 1.66%. The expected rate in year 2 is 2.45%, the expected rate in year 3 is 2.86%, and the expected rate in year 4 is 3.64%. What are current rates for the 1, 2, 3, and 4 year maturities for these treasury securities