The table below shows the scores of a group of students on a 10-point quiz.

Test ScoreFrequency

3 4

4 3

5 3

6 2

7 1

8 1

9 1

10 6

The mean score on this test is:

The median score on this test is

Calculate the elasticity for the following questions (USING THE MIDPOINT (AVERAGE) FORMULA) and indicate if the goods are: 1. Inferior, 2. Normal, 3. Complements, or 4. Substitutes (Please Include The Negative signs in your answers where appropriate) A. The price of gasoline increases from 12 per barrel to 28 per barrel and as a result, the demand per month for new cars changes from 600 to 200. Part 1: The elasticity is -0.5 Part 2: These goods are (answer using numbers, 1-4) 3 B. As a result of a change in income from 1,275 to 1,875 per month, the consumption of good X changes from 380 to 200 units. Part 3: The elasticity is -1.0065 Part 4: Good X is a(an) (answer using numbers, 1-4) 1 C. As a result of a decrease in the price of good Y from 39 to 19 the demand for good X changes from 150 to 350 units. Part 5: The elasticity is -2.6 Part 6: These goods are(answer using numbers, 1-4) 3 D. As a result of an economic boom in Calgary, the average income increases from 2,800 to 4,200 per month and as a result the demand for new houses increases from 160 to 260 units. Part 7: The elasticity is 1.25 Part 8: Newm, houses are a(an) (answer using numbers, 1-4) 2

Section 3.1 The Derivative and the Tangent Line Problem
Homework Assignment

   Find the derivative of the function by the limit process

   f(x)=1/x^2
   h(s)=-2√s

   Find the equation of the tangent line to the graph of the function at the given point.

   f(x)=x^3+1,(-1,0)
   f(x)=x-1/x,(1,0)

Section 3.2 Basic Differentiation Rules and Rates of Change
Homework Assignment
   Find the derivative of the function

   g(x)=∜x
   y=2x^3+6x^2-1
   g(t)=π cos⁡t
   y=7x^4+2 sin⁡x
   y=3/4 e^x+2 cos⁡x
   h(x)=(4x^3+2x+5)/x
   y=x^2 (2x^2-3x)
   y=3/〖(2x)〗^3 +2 sin⁡x
   g(x)=√x-3e^x
   Find the equation of the tangent line to the graph of the function f(x)=2/∜(x^3 ) at the point (1, 2).
Section 3.3 Product and Quotient Rules and Higher-Order Derivatives
Homework Assignment
   Find the derivative of the function

   g(s)=√s(s^2+8)
   g(x)=√x sin⁡x
   f(x)=x^2/(2√x+1)
   f(t)=cos⁡t/t^3
   y=sec⁡x/x
   f(x)=sin⁡x cos⁡x
   y=(2e^x)/(x^2+1)


   Find equation of the tangent line to the graph of the function f(x)=(x+3)/(x-3) at the point (4, 7)

: In an article published in the American Naturalist in November 1897, A. E. Dolbear wrote about his findings concerning crickets chirping and the temperature of the environment. He wrote, “The rate of chirp seems to be entirely determined by the temperature and this to such a degree that one may easily compute the temperature when the number of chirps per minute is known.” Also, “Below a temperature of 50°[F] the cricket has no energy to waste in music and there would be but 40 chirps per minute.” He presented the following data. At 60 °F, the rate is 80 chirps per minute and at 70 °F, the rate is 120 chirps per minute.

1. Design a table and record the pertinent values in the problem statement. ( 1 2 3 4 5 ) (5.5 pts)

2. Assume there is a linear relationship between the chirping rate, N, and the temperature T; make a sketch of a linear graph for the data in your table, with T on the y-axis and N on the x-axis. ( 1 2 3 4 5 ) (3.5 pts)

3. Using your graph, calculate the equation that gives the temperature as a function of the chirping rate. ( 1 2 3 4 5 ) (3.5 pts)

4. Using the equation that you derived above, calculate chirping rate you would expect to hear if the temperature was 59 °F. ( 1 2 3 4 5 ) (2.5 pts)

5. The Library of Congress (LOC) website (http://www.loc.gov/rr/scitech/mysteries/cricket.html) made the following observation, “To get a rough estimate of the temperature in degrees Fahrenheit, count the number of chirps in 15 seconds and then add 37. The number you get will be an approximation of the outside temperature.”

Write an equation (the LOC’s equation) for the approximation equation for the temperature from what you understand from the statement given by the LOC’s website. ( 1 2 3 4 5 ) (2.5 pts)

6. Calculate the chirping rate (in chirps per minute) using your LOC’s equation for the temperature of 59 °F. ( 1 2 3 4 5 ) (3.5 pts)

7. Write a few sentences (no less than three sentences) to let me know how you would reconcile any difference between the chirping rate you calculated from the equation you derived and that calculated from the LOC’s equation. ( 1 2 3 4 5 ) (4.5 pts)

Suppose that x has a binomial distribution with n = 201 and p = 0.49. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.)

(a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x.

Both np and n(1 – p) ≤ or ≥ 5

(b) Make continuity corrections for each of the following, and then use the normal approximation to the binomial to find each probability:

A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to another. The responses of the subjects are then compared using matched-pair methods. In an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from 1 to 10, with larger numbers representing higher levels of pain. Can you conclude that the mean pain level is less with drug B? Use significance level 0.10. (Paired samples).

Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000.

a. Calculate the forward rate of interest for each year. (Round your answers to 2 decimal places.)

b. How could you construct a 1-year forward loan beginning in year 3? (Round your Rate of synthetic loan answer to 1 decimal place.)

c. How could you construct a 1-year forward loan beginning in year 4?

1) A researcher would like to determine if relaxation training affects the number of headaches for chronic headache sufferers. For a week prior to training, each participant records the number of headaches suffered. Participants then receive relaxation training and for the week following training the number of headaches is again measured. The data are as follows: before: 6, 5, 3, 3, 6, 2, 4, 4 and after: 4, 1, 3, 1, 2, 1, 3, 2.

a. Do the results indicate a significant difference? Use a two-tailed test with α = .05. State the null hypothesis and the tcritical you will use to evaluate the null hypothesis.

b. Compute Cohen’s d and r2 to measure the size of the effect. Conclude with a separate summary statement for each measure of effect size that is appropriate for publication in a scientific journal.

For the given data, crash the project completely.

1.What is the normal project duration? = BLANK-1

2. Whatis the normal project cost? = BLANK-2

3. What is the project cost when fully crashed? = BLANK-3

4. Which activities were crashed to reach the final crashed duration? List in order
= BLANK-4

5. What is the project duration when completely crashed? = BLANK-5