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.
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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}
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Answer

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Answer

This hypothesis test is a two-tailed test because we are checking for a difference in either direction from the mean.

Steps

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.

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