Question

4.

A reading center claims that students will perform better on a standardized reading test after going

through the reading course offered by their center. A random sample of 12 students is given the

standardized reading test. The same standardized reading test is administered to the students after

participating in the reading course. Which one of the following statistical tests would be most

appropriate for establishing whether the reading course improves student test scores?

a) One-sample test for population mean (t-test)

b) One-sample test for a population proportion (z-test)

c) Matched pairs (dependent samples) test for difference of means (t-test)

d) Two-sample (independent samples) test for difference of means (t-test)

e) Two-sample test for difference of population proportions (z-test

Answer #1

#When observations are taken on "same subject" but at two different locations or time periods or situations , then it is considered as dependent or paired samples.so we can conduct dependent samples t test for difference of means.

For example : Researchers want to investigate the accuracy of a new blood pressure meter. Blood pressure measurements of the "same subjects"( same people) are measured using both a new blood pressure meter and the traditional blood pressure meter. This is an example of an dependent Two Sample t test.

In the given situations the standardized reading test is administered to the 12 students after and before participating in the reading course.therefore it is dependent or paired sample

**c) Matched pairs (dependent samples) test for difference
of means (t-test)**

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