Cuestion 3 of 10 cocad erestion Attempte 1 of 1
Time Remaining \( 2.48,18 \)
Nathan
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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 0.05 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 yeu aleo know the following information.
The critical values are \( -1,960 \) and 1.960 (rounded to 3 decimal places).
The value of the test statistic is 1.495 (rounded to 3 decimal places).
(e) Complete the steps below to show the refection reglon(s) and the vatue of the test statistic for this test,
(b) Based on your answer to part (a), choose the correct statement.
The value of the test statistic lies in the rejection region.
The value of the test statistic doesn't lie in the rejection region.
(c) Based on your answer to part (b), which statement below is true at the 0.05 level of significance?
The null hypothesis should be rejected.
The null hypothesis should not be rejected.
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