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If other factors are held constant, what is the effect of increasing the variabi

ID: 3174538 • Letter: I

Question

If other factors are held constant, what is the effect of increasing the variability of scores in a sample (i.e., increasing a sample variance or standard deviation)? Hint: Look at the formulas for the estimated standard error and t-test for a single sample to figure out the answer.

A. It will increase the estimated standard error and increase the likelihood of rejecting H0. B. It will increase the estimated standard error and decrease the likelihood of rejecting H0. C. It will decrease the estimated standard error and increase the likelihood of rejecting H0. D. It will decrease the estimated standard error and decrease the likelihood of rejecting H0.

Explanation / Answer

B. It will increase the estimated standard error and decrease the likelihood of rejecting H0.

As it will be increase if sample size is small. If other factors are held constant, then increasing the sample size will increase the likelihood of rejecting the null hypothesis.

B. It will increase the estimated standard error and decrease the likelihood of rejecting H0.

As it will be increase if sample size is small. If other factors are held constant, then increasing the sample size will increase the likelihood of rejecting the null hypothesis.

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