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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?
\[
\begin{array}{l}
H_{0}: \sigma=2 \\
H_{1}: \sigma \neq 2
\end{array}
\]
What type of test is being conducted in this problem?
Two-tailed test
Left-tailed test
Right-tailed test
Answer
Final Answer: The type of test being conducted in this problem is a \(\boxed{\text{Two-tailed test}}\).
Step 1 ：The null hypothesis (H0) is that the standard deviation (σ) is equal to 2. The alternative hypothesis (H1) is that the standard deviation (σ) is not equal to 2.
Step 2 ：This means that the test is looking for a difference in either direction from the hypothesized value, so it is a two-tailed test.
Step 3 ：The parameter being tested is the standard deviation (σ).
Step 4 ：Final Answer: The type of test being conducted in this problem is a \(\boxed{\text{Two-tailed test}}\).
