In: Statistics and Probability
According to research conducted by the fictional agency entitled Birth Rate and Health Outcomes, a sample of 3,500 women who gave birth reported that the sample mean age of first-time mothers in the U.S. was 24 years old with a sample median age of 30 and a sample standard deviation of 3.35.
d. What is a consequence of constructing, for example, a 95% Confidence Interval versus a 75% Confidence Interval? Please explain in a sentence or two.
e. Your friend argues that you should always use the highest confidence interval possible in experiments. This way, you can be ensured you’ve captured the population parameter in your interval. Do you agree or disagree, and why?
f. Researchers hypothesize that the population mean age of first-time mothers is 23.95 years old. Will you reject or retain their hypothesis based on your work above (i.e. the confidence intervals you computed)? Explain.