HP 10413 Datasheet download pdf (Page 156)

156

Hypothesis test: Z-Test 1-

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

, since we

know the population standard deviation.

The hypotheses are:

: The sample is drawn from a population whose mean is the same as

the standardized population

(

)

= .

: The sample is drawn from a population whose mean is larger than

that of the standardized population

(

)

Change to the NUM SETUP view, you can use

the import facility to import the summary

statistics from the Statistics aplet.

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HP 10413 Datasheet Page 156