Suppose there is a claim that a certain population has a mean, \( \mu \), that is different than 6 . You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, \( H_{0} \), and the alternative hypothesis, \( H_{1} \), as follows.
\[
\begin{array}{l}
H_{0}: \mu=6 \\
H_{1}: \mu \neq 6
\end{array}
\]
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.526 (rounded to 3 decimal places).
The \( p \)-value is 0.127 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
\begin{tabular}{|l|}
\hline Standard Normal Distribution \\
Step 1: Select one-tailed or two-tailed. \\
One-tailed \\
Two-tailed \\
Step 2: Enter the test statistic. \\
(Round to 3 decimal places.) \\
Step 3: Shade the area represented by
\end{tabular}
