One common problem with this practice occurs when the samples
do not fully reflect the population, or do not reflect the population well. For
example, perhaps the population of interest is predominately male, but the
sample is predominantly women. This increases the likelihood of the sample
producing data that differs from what would be produced by the population.
Consider the following research situation:
A group of researchers is studying the
relationship between cortisol (stress hormone) levels and memory, and they want
to see if a sample of 25 adults that has been recruited is a good
representation of the population it came from, before they conduct additional
research. The population has been found to have an average cortisol level of 12
mcg/dL, with a standard deviation of 2 mcg/dL. The sample was found to have an
average cortisol level of 15 mcg/DL, with a standard deviation of 3 mcg/dL.
For this assignment, construct a confidence
interval to determine if this sample mean is significantly different from the
population mean. Explain how you know, based on the confidence interval, and
specific the confidence level you used. Be sure to show your work and
calculations. This can be tricky with Word, so if necessary you may take a
photo of your hand calculations and add it to the Word document.
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