A teacher investigates the effect of extra classes on the performance of pupils in mathematics. A group of 20 pupils receives the extra classes while a control group of 20 pupils receives singing lessons. For each of the 40 pupils the teacher calculates the increase or decrease in his or her mathematics performance by comparing the marks obtained in an examination before the extra classes to the marks obtained in an examination after the extra classes.

Which is the appropriate test
statistic to be calculated for the teacher to test the hypothesis (based on all
the information provided in the case study)?

Question

A teacher investigates the effect of extra classes on the performance of pupils in mathematics. A group of 20 pupils receives the extra classes while a control group of 20 pupils receives singing lessons. For each of the 40 pupils the teacher calculates the increase or decrease in his or her mathematics performance by comparing the marks obtained in an examination before the extra classes to the marks obtained in an examination after the extra classes.

Which is the appropriate test

statistic to be calculated for the teacher to test the hypothesis (based on all

the information provided in the case study)?

Which is the appropriate test
statistic to be calculated for the teacher to test the hypothesis (based on all
the information provided in the case study)?

Answer

The r-statistic for the correlation between two variables.

Answer

The t-statistic for the difference between the means of two independent samples.

Answer

The t-statistic for the difference between the means of two dependent samples.

Answer

The t-statistic for the mean difference score of a single sample.

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A teacher investigates the effect of extra classes on the performance of p...

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