Minerva starts a savings account with $50. the interest on the account balance is compounded annually. the graph below shows the account balance in terms of x, the number of years since the account was opened. after 12 years, minerva's account balance should be about $100, assuming that she does not add or withdraw any money from the account. true false cannot be determined from the information given.

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.