156
Hypothesis test: Z-Test 1-
µ
A teacher has developed a new teaching technique for hearing-impaired
students which he believes is producing significantly better results. He
wishes to publish a paper on this and needs to check his results statistically.
A standardized test is available for which it is known that the normal
performance of hearing-impaired students at the same stage of study has a
mean of 53.6% and a standard deviation of 12.2%. When he applies this test
to his class of 23 students their scores are shown below. The teacher
believes that this data shows that his students are scoring significantly better
and wishes to test this at a level of 5%.
Test results:
{57, 72, 42, 50, 55, 58, 59, 38, 45,53, 77,57, 52, 69, 50, 55, 59, 68, 62, 63, 53, 56}
Enter the data into column C1 of the Statistics
aplet.
Changing to the Inference aplet, we choose a
Hypothesis test using Z-test: 1
µ
, since we
know the population standard deviation.
The hypotheses are:
H
0
: The sample is drawn from a population whose mean is the same as
the standardized population
)
0
µ
= .
H
A
: The sample is drawn from a population whose mean is larger than
that of the standardized population
)
0
µ
>
.
Change to the NUM SETUP view, you can use
the import facility to import the summary
statistics from the Statistics aplet.
To Next Page
Loading...
Need help?
General
