Browse Mathematics Questions

+ T 6. Show that tanh- for 3|<1.

Problem 9 (15 points) Professor Dunderhead teaches statistics every semester exactly the same way. Scores on his final exams are remarkably consistent, with mean score 76.4 and standard deviation 7.3. This semester the professor discovers he has mistakenly been drinking decaffeinated coffee for years and switches to caffeinated coffee. He finds that a random sample of 15 of his students earns an average score of 79.7 on the final. He wonders if this is sufficient evidence to conclude his students this semester performed differently on the final than in years past. (d) At the 5% level state your conclusion in words.

11. Write the following limits of Riemann Sums as integrals and then solve using the Fundamental Theorem of Calculus. *+ **) () limĖ (3+4)*60 cm

15. A car rental agency at the three New York airports finds the likelihood that cars rented and returned to the various airports is given by the following table: Rented From Returned To Probability Kennedy Kennedy LaGuardia Newark 80% 10% 10% LaGuardia Kennedy LaGuardia Newark 30% 50% 20% Newark Kennedy LAGuardia Newark Consider the car rental and return as a Markov chain with Kennedy as state 1, LaGuardia us state 2, and Newark as state 3. What is the two-step transition matrix for this chain (this means two successive stages of car rentals)? - » (en p lace 0.69 0.18 0.13 ដីន៖ 0402 021 J B) none of the others

b. An accounting firm is auditing the financial records of a hedge fund. The hedge fund has a total of 549 accounts related to its business dealings. Rather than verify all of the accounts, you decided to verify only an SRS of 7 accounts. Representing account numbers as 001 through 549, use the part of Table B at Line 161 repro- duced below to choose this SRS. Write the numbers for the chosen accounts in the spaces provided. Line 161 43400 25831 06283 22138 1604315706

10. Which pair of sets have the same cardinality ? Circle the correct answer. • N and R • P(Z) and Q • R and the interval (0,1) • Rand (0.1) nQ

The demand equation for a product is given by the relation: (p+10X9+20) = 1000, while the supply equation is given by the relation: 9-4p+10=0 Note: Market equilibrium occurs when p. = 10 and 4 = 30 i) Calculate producers' surplus (PS) under market equilibrium.

7. (10 pts) Find the future value in 12 years of a $15,000 payment today, if the interest rate is 3.5% per year compounded continuously.

Problem 3. (10 points) The mean height of American women in their early twenties is about 64.5 inches and the standard deviation is about 2.5 inches. The mean height of American men in their early twenties is about 68.5 inches and the standard deviation is about 2.7 inches. The correlation between the heights of husbands and wives is about r=0.5. (a) What is the equation of the regression line of the husband's height (y) on the wife's height (x) in young couples?