1) I have noticed that 23 out of 100 cars driving by my house are white.
a. What is the proportion of white cars driving past my house?
b. What is the 95% confidence interval for the proportion of white cars?
c. How many cars do I have to count to raise the confidence interval to 99% that I am within 10% of the correct white car percentage?
2) I sampled the number of cars that passed my house over a 4 day period. The average number of cars that I counted was 200 cars with a standard deviation of 25 cars.
a. What is the 90% confidence interval for the average number of cars that pass my house in a day?
b. How many days worth of samples must I make to be 95% confident that the estimated average number of cars is within 21 cars?