1. There is an old folk belief that the sex of a baby can be guessed before birth on the basis of heart rate. Supposedly, male babies have heart rates that are signicantly faster than those of female babies. Fetal heart rates (bpm) were observed for 40 female babies and 33 male babies admitted to a maternity ward with following results. Female Male f1 = 120.37 52 = 135.59 S] =63.0 52 =62.0 (a) Use critical value method- Is the claim that male babies have higher heart rate true? Use or = 0.05. (b) Find the pvalue and confirm your answers in part (a). (c) Find a 90% condence interval for the difference of the mean heart rates