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Baby weights: Following are weights, in pounds, of 11 two–month–old baby girls. It is reasonable to...

Baby weights: Following are weights, in pounds, of 11 two–month–old baby girls. It is reasonable to assume that the population is approximately normal.

12.23

12.32

11.87

12.34

12.66

8.51

14.13

12.95

10.30

9.34

8.63

(a) Construct a

99

%

confidence interval for the mean weight of two–month–old baby girls.

(b) According to the National Health Statistics Reports, the mean weight of two–month–old baby boys is

11.1

pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two–month–old baby girls may be the same as that of two–month–old baby boys? Explain.

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