Question

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.

Answer 1

:-  Americans age 60 or older read for a mean length minutes per day

:-  Americans between the ages of 50 and 59 read for a mean length minutes per day

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


Z = 2.4327

Test Criteria :-
Reject null hypothesis if


Result :- Reject Null Hypothesis

There is sufficient evidence to support 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.