The birth weights of 34 babies whose mothers did not smoke and 29 babies whose mothers smoked were compared; weights were in grams. 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.