A prof wants to know if her students’ attitudes towards stats changed by the end

Question

A prof wants to know if her students’ attitudes towards stats changed by the end of the semester, so she asks them to fill out an “Attitudes Toward Stats” scale at the beginning of the term and at the end of the term.

Which situation makes it easier to declare that a certain mean difference is statistically significant: A class with 7 students or a class with 700 students?

A class with 700 because the variance is greater with the larger sample.  

A class with 700 because the t value would be higher with the larger sample.

A class with 7 because the variance is smaller with the smaller sample.

A class with 7 because the t value would be higher with the smaller sample.

A class with 700 because the variance is greater with the larger sample.  

A class with 700 because the t value would be higher with the larger sample.

A class with 7 because the variance is smaller with the smaller sample.

A class with 7 because the t value would be higher with the smaller sample.

Explanation / Answer

Option b. is correct i.e A class with 700 because the t value would be higher with the larger sample.

This is because as we increase the sample size the t-value increases by the formula t-value= (x - )/(s/n) . More the n, more is the t- value. And the sample size should also be sufficiently large to produce accurate results.

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