\( 1 \leftarrow \quad \begin{array}{l}\text { A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, } \\ \text { or two-tailed. } \\ H_{0}: \mu=7.5 \\ H_{a}: \mu \neq 7.5\end{array} \) What type of test is being conducted in this problem? A. Left-tailed tost B. Two-tailed test C. Right-tailed test

The given hypotheses suggest that the null hypothesis \( H_{0}: \mu = 7.5 \) states that the mean is equal to 7.5, while the alternative hypothesis \( H_{a}: \mu \neq 7.5 \) indicates that the mean is not equal to 7.5. This means we are interested in deviations in both directions (either less than or greater than 7.5), making it a two-tailed test. The correct answer is **B. Two-tailed test.** One way to visualize this is to think of the bell curve. The area under the curve that we are testing against the critical value happens on both sides of the mean. So, if you’re using a graph, you’d shade both ends of the curve to represent the regions where you would reject the null hypothesis.