Problem
Big babies: The National Health Statistics Reports described a study in which a sample of 88 one-year-old baby boys were weighed. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the $\alpha=0.01$ level of significance and the $P$ -value method and Excel. Part: $0 / 5$ Part 1 of 5 (a) State the appropriate null and alternate hypotheses. \[ \begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array} \] This hypothesis test is a (Choose one) $\mathbf{\nabla}$ test. \begin{tabular}{ccc} $\square<\square$ & $\square>\square$ & $\square=\square$ \\ $\square \neq \square$ & $\mu$ & \\ $\times$ & 5 \end{tabular} Skip Part Check Save For Later
Solution
Step 1 ：State the appropriate null and alternate hypotheses.
Step 2 ：The null hypothesis (H0) is that the mean weight is 25 pounds: \(H_{0}: \mu = 25\).
Step 3 ：The alternate hypothesis (H1) is that the mean weight is not 25 pounds: \(H_{1}: \mu \neq 25\).
Step 4 ：This hypothesis test is a two-tailed test because we are checking for a difference in either direction from the mean.
