A company that manufactures baseball bats believes its new bat can allow players to hit the ball 30 feet farther. The results (in feet) of the batting distances are shown below. Old bat 200 210 231 218 210 209 210 229

New bat 235 240 253 243 237 250 241 251

Construct a 90% confidence interval for the mean distance between the old bat and the new bat.

If i have one apple and give you the apple, how many apples do i have?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

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.