Question

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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 21 and a sample

standard deviation of 3.35.

i

a.

What is the point estimate of the population mean?

b. Statistically speaking, how would you define an unbiased estimator?

c.

Based on the limited information presented, is this distribution likely to be skewed

right, left, or normal? Explain.

d.

Compute the

99%

confidence interval of the population mean and interpret it.

e.

Researchers hypothesize that the population mean age of first-time mothers is 23

years old. Will you reject or retain their hypothesis based on your work above?

Explain.

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Answer 1