You want to estimate the average price of a home in your city. You know that the standard deviation in prices is $80,000. You take a simple random sample of 40 homes and compute a sample mean of $288,000. 1. Find a 95% confidence interval for the population mean. 2. How many homes would you need to sample to get a margin of error of less than $8000.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

This circle is centered at the origin, and the length of its radius is 6. what is the circle's equation? a. x^2+y^2=36 b x^2+y^2=6 c x+y=36 d x^6+y^6=1

Which graph of a hyperbola represents the equation 16x^2-y^2=16