Apollster wants to construct a 95% confidence interval for the proportion of adults who believe that economic conditions are getting better. a gallup poll taken in july 2010 estimates this proportion to be 0.33. using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.052 ?

Simplify 15(x - 4)(x -1)-3(x + 4)(x - 1) with steps

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.

Write as a product: ac^2–ad+c^3–cd–bc^2+bd