The power of this test to reject the null hypothesis when u = 24.5 is 0.735. What could the counselor have done to
increase the power of this test?
On a college entrance exam a total of 25 minutes is
allotted for students to answer 20 math questions without
the use of a calculator. A guidance counselor would like
to know if the students in his school are prepared to
complete this portion of the exam in the time allotted. To
investigate the counselor selects a random sample of
35 students and administers this portion of the test. The
students are instructed to turn in their test as soon as
they have completed the questions. The counselor
would like to know if there is convincing evidence that
the true mean amount of time needed for all students of
this school to complete this portion of the test is less
than 25 minutes and therefore tests the hypotheses
Hoi = 25 versus H H <25, where u = the true mean
amount of time needed by students at this school to
complete this portion of the exam.
O The counselor could have used a sample size of 10
students.
O The counselor could have used a sample size of 20
students.
O The counselor could have used a sample size of 30
students.
O The counselor could have used a sample size of 40
students.