Carry 3 decimals during calculations, Report all final answers to 2 decimal places. (x.xx)

The mean birth weight of babies born to non-smoking mothers in the United States population typically has a mean of 3500 grams with a standard deviation of 350 g. A sample of 64 babies born to smoking mothers had a mean birth weight of 2970 g with a standard deviation of 240 g. Construct a 95% confidence interval for the true population birth weight for babies born to smoking mothers. Answer the following questions:

What is the Standard Error (SE)?

What is the Margin of Error (M) =

What is the LCL? =

What is the UCL? =

Based on the confidence interval you calculated, is there a significant difference in birth weight among babies whose mothers smoke and the general population of babies whose mothers do not smoke?

• Yes or No?

Why or why not?

• Because the 95% CI does not include the mean birthweight of the true population of non-smoking mothers.
• Because the 95% CI does include the mean birthweight of the true population of non-smoking mothers.
• Because the 95% CI does not include the mean birthweight of the true population of smoking mothers.
• Because the 95% CI does include the mean birthweight of the true population of smoking mothers.