Desiree and Nick, the boy she was babysitting, were playing basketball together Her score wa 20 points, and his score was 8 points Desiree wanted to make the
game fairer, so she called a time-out and modified the rules a bit She explained
that for the rest of the game, she would get 3 points per basket, and Nick would
get 4 points per basket They then continued the game After the timeout, they
both had made the same number of baskets and ended up with a tied score' Hon
many baskets did each make, and that was their scores?

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.