Conduct a hypothesis test for each problem, using the
traditional method. Show the 5 steps and all work for each
hypothesis test. Be sure you select the correct test to use for
each problem.
5. A reading group claims that Americans read more as
they grow older. A random sample of 65 Americans age 60 or older
read for a mean length of 63.8 minutes per day, with a population
standard deviation of 15.5 minutes per day. A random sample of 88
Americans between the ages of 50 and 59 read for a mean length of
56.2 minutes per day, with a population standard deviation of 23.1
minutes per day. At the 0.01 level of significance, test the claim
that the mean time spent reading per day by Americans age 60 and
older is longer than the mean time spent reading per day by
Americans between the ages of 50 and 59.