An Investigation of the Relationship Between Years of Formal Education

question 50

Multiple Choice

An investigation of the relationship between years of formal education and IQ that was conducted with a sample size of 100 found a statistically significant correlation of .25.Another investigation of the same relationship had the same r value based on a sample size of 10,but it was not statistically significant.Why might this be?

• A)a sample size of 100 has too much sampling error
• B)a sample size of 10 is more likely to produce a Type I error
• C)as sample size increases so does the power of the statistic
• D)the standard error was larger in the sample where N = 100

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Definitions:

Sampling Distribution

The distribution of a statistic (e.g., mean) computed from samples of a specific size drawn from a particular population.

Sampling Distribution

The probability distribution of a statistic obtained through a large number of samples drawn from a specific population.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values; a low standard deviation indicates that the values tend to be close to the mean.

Standard Error

A measure that quantifies the variation or dispersion of a sample mean from the population mean.