Question

Show ALL work including steps used during computations using formulas and diagrams when appropriate. Write a statement explaining the meaning of your computations (conclusions) for all problems- hypothesis tests and confidence intervals.

A researcher studied whether pregnant women who consumed more than 800 mg of caffeine per day had babies with a lower birth weight (in lbs). The results are in the table below:

Caffeinated women’s babies weights	7.5	6.7	5.2	6.8	7.4	7.7	5.6	6.9
Non-caffeinated women’s babies weights	7.8	7.6	8.1	7.5	7.1	7.2	7.9

Test to determine if the use of caffeine lowered birth weights using α = 0.05.

Answer 1

Let denote the mean of Caffeinated women’s babies weights and Non-caffeinated women’s babies weights respectively.

There is sufficient evidence to support the claim that use of caffeine lowered birth weights.