APFIVE Small Sample Confidence Interval For A Mean
A researcher investigates the effect of a new study program on student performance, a continuous variable, with a small sample size. They construct a confidence interval for the mean using the normal distribution without accounting for degrees of freedom. Identify the mistake in this approach.
A
There is no mistake; the normal distribution is appropriate regardless of sample size.
B
The error lies in the miscalculation of the sample mean.
C
They should have used a chi-square distribution instead of the normal distribution.
D
For small samples with a continuous variable, the t-distribution with the appropriate degrees of freedom should be used instead of the normal distribution.
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