Math  /  Data & Statistics

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Baby weights: Following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal. \begin{tabular}{ccccc} \hline 12.32 & 11.87 & 12.34 & 11.48 & 12.66 \\ 8.51 & 14.13 & 12.95 & 9.34 & 8.63 \\ \hline \end{tabular} Send data to Excel (a) Construct a 90%90 \% 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 13.9 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.
Part 1 of 2 (a) A 90%90 \% confidence interval for the mean weight of two-month-old baby girls is 10.307<μ<12.53910.307<\mu<12.539.
Part: 1/21 / 2
Part 2 of 2 (b) It (Choose one) \boldsymbol{\nabla} 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. Skip Part Check Save For Later Submit Assi - 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use 1 Pivacy Center \quad t

Studdy Solution
(a) The 90% confidence interval for the mean weight of two-month-old baby girls is (10.377,12.469)(10.377, 12.469) pounds. (b) It is *not* reasonable to believe that the mean weight of two-month-old baby girls is the same as that of two-month-old baby boys, because the given mean weight for boys (13.9 pounds) is outside our confidence interval.

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