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1) It’s believed that as many as 22 of adults over 50 never graduated from high school. We wish to see if this percentage is the same among the 25 to 30 age group. What sample size would allow us to increase our confidence level to 95% while reducing the margin of error to only 3%?

N= (Round up to the nearest integer)

2) An environmental agency worries that many cars may be violating clean air emissions standards. The agency hopes to check a sample of vehicles in order to estimate that percentage with a margin of error of 4% and 95% confidence. To gauge the size of the problem, the agency first picks 50 cars and finds 11 with faulty emissions systems. How many should be samples for a full investigation?

The agency should sample at least ___ vehicles. (Round up to nearest whole number)

3) The electric current (In A) in a circuit with a battery of voltage E, a resistance R, and an inductance L, is i= E/R(1-e^-Rt/L), where t is the time after the circuit closed. Find I expressed in milliamps (mA) for E= 6.40,V, R=1.20 Q, L=3.26 H, and t=0.001 s.

I= ____ mA

4) A biotechnology firm is planning its investment strategy for future products and research labs. A apoll found that 6% of a random sample of 1037 adults approved of attempts to clone a human. Use this information to complete parts a through e.

a) Find the margin of error for this poll if we want 95% confidence in our estimate of the percent of adults who approve of cloning humans. ME=

5) Direct mail advertisers send solicitations (junk mail) to thousands of potential customers in the hope that some will buy the company’s product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it to 1200 people randomly selected from their mailing list of over 200,000 people. They get orders from 135 of the recipients

Create a 90% confidence interval for the percentage of people the company contacts who may buy something. (___%,___%). (Round to one decimal place as needed..