Problem

HW Score: $18.18 \%, 2$ of 11 Part 1 of 2 points Points: 0 of 1 Save 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

Solution

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 \(\boxed{\text{Two-tailed test}}\).

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