The birth weights of 35 babies whose mothers did not smoke and 22 babies whose mothers smoked were compared; weights were in grams. (Source: Smoking Mothers, Holcomb 2006, accessed via StatCrunch. Owner: kupresanin99) Test the hypothesis that the population mean birth weight is larger for mothers who do not smoke. Assume that the sample is random and the distributions are Normal, and use a significance level of 0.05.
a. Explain why this data set is not paired.
b. Which sample mean is larger, and how do you know?
c. Test the hypothesis that the population mean birth weight is larger for mothers who do not smoke.

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Options Hypothesis test results: : Mean of No Smoking Mean of Yes Smoking μι . μ2 : Difference between two means (wthout pooled variances) Difference Sample Diff. Std. ErrF T-StatP-value μι Ή2-1- T-Stat P-value 725 227.58343 31 393082 3.1856450.0016