Suppose that Jeff has a US quarter and a US nickel. Jeff believes that his US quarter is more likely to land heads than his US nickel. Suppose Jeff flips his quarter 100 times and gets 51 heads, and Jeff independently flips the nickel 100 times and gets 49 heads.

(a) Construct a 99% confidence interval for the difference in the proportion of times Jeff’s quarter lands heads and the proportion of times Jeff’s nickel lands heads.

(b) If Jeff’s quarter were to truly land heads more often than his nickel, would Jeff hope that the confidence interval in (a) consists of only negative or only positive real numbers? Briefly explain your answer.

(c) What could Jeff do to get a narrower confidence interval than the confidence interval in (a)?

Staci's Sign Shoppe makes signs for businesses. Staci is currently producing 210 signs per week with three employees. Staci hires an additional worker and total output per week rises to 292 signs. At four workers, marginal product is _____ the average product; thus, average product is _____.

below; rising

equal to; unchanged

above: falling

above; rising

Imagine Fry knew in advance that he would be frozen for 1000 years and wanted to have $9,999,999,999 when he thaws out. How much would Fry need to deposit in his account paying 2% APR compounded quarterly before falling into the cryogenic freezer?

A couple of boxes with different masses, 5.70 kg and 1.60 kg , hang 0.800 m above the floor from the ends of a cord 7.30 m long passing over a frictionless pulley. The boxes are released from rest with the heavy box falling and lifting up the light box.Find the maximum height above the floor reached by the 1.60 kg box.

1 Write down the expressions for centripetal force and angular momentum

2 What are the units of moment of inertia?

3 In Fig.1 show that the tension, T, in the string causing the pulley to rotate is given by

T = m(g-a)

where a is the linear acceleration of the falling mass.

4 In part III, what factors could cause the angular momentum not to be conserved?

Discuss the purpose of a budget and cost variance analysis. Why is it important for companies to create a budget then determine if they met budgeted costs? For example, is it always a negative variance if a company exceeds budgets? Give me an example of why a cost falling below expectations (actual cost below budgeted cost) may still be a problem even if it appears to increase profit.

Anicex Co. is growing quickly. Dividends are expected to grow at a rate of 20 percent for the next three years, with the growth rate falling off to a constant 5 percent thereafter. If the required return is 14 percent and the company just paid a dividend of $2.50, what is the current share price?

Options available:

a.$66.21

b.

$51.87

c.

$42.34

d.

$86.52

At one time most products purchased in the U.S. were made in the U.S. Now many products you can purchase in the U.S. seem to be made in other countries.

1. State one way that increased sales of goods made in other countries in the U.S. has helped U.S. companies and/or workers and/or consumers?

2. State one way that increased sales of goods made in other countries in the U.S. has hurt U.S. companies and/or workers and/or consumers?

3. On balance, do you think increased sales of goods made in other countries in the U.S. has mostly helped or mostly hurt U.S. companies, workers, and consumers?

4. Name one way that you think U.S. companies can do to better compete with other countries?