Problem

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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested?
\[
\begin{array}{l}
H_{0}: \mu=120 \\
H_{1}: \mu \neq 120
\end{array}
\]

Is the hypothesis test left-tailed, night-tailed, or two-tailed?
Two-tailed test
Right-tailed test
Left-tailed test

Answer

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Answer

Final Answer: The hypothesis test is a \(\boxed{\text{Two-tailed test}}\) and the parameter being tested is the \(\boxed{\text{population mean (μ)}}\).

Steps

Step 1 :The null hypothesis (H0) is that the mean (μ) is equal to 120.

Step 2 :The alternative hypothesis (H1) is that the mean (μ) is not equal to 120.

Step 3 :This suggests a two-tailed test because the alternative hypothesis is testing for a difference in either direction from the hypothesized mean, not specifically greater than or less than.

Step 4 :Therefore, the parameter being tested is the population mean (μ).

Step 5 :Final Answer: The hypothesis test is a \(\boxed{\text{Two-tailed test}}\) and the parameter being tested is the \(\boxed{\text{population mean (μ)}}\).

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