A two-tailed hypothesis test for the population mean has two critical values. may have one or two critical values. has only one critical value. may have more than two critical values.

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**Question: A two-tailed hypothesis test for the population mean**

**Answer Options:**

- [ ] has two critical values.
- [ ] may have one or two critical values.
- [ ] has only one critical value.
- [ ] may have more than two critical values.

**Explanation:**
A two-tailed hypothesis test is used when we are interested in deviations in both directions from a specified population mean. In such tests, the critical values are the points that form the boundaries of the rejection regions on both tails of the distribution. Typically, a two-tailed test involves comparing a test statistic to two critical values, one on each tail of the distribution.

**Correct Answer:**
- [ ] has two critical values.

In this multiple-choice question, the correct answer is that a two-tailed hypothesis test for the population mean has two critical values. This is because the test checks for the possibility of the population mean being both significantly higher and significantly lower than the hypothesized mean. Therefore, two points are set as thresholds (critical values) to determine if the test statistic falls in the rejection regions on either side.
Transcribed Image Text:**Question: A two-tailed hypothesis test for the population mean** **Answer Options:** - [ ] has two critical values. - [ ] may have one or two critical values. - [ ] has only one critical value. - [ ] may have more than two critical values. **Explanation:** A two-tailed hypothesis test is used when we are interested in deviations in both directions from a specified population mean. In such tests, the critical values are the points that form the boundaries of the rejection regions on both tails of the distribution. Typically, a two-tailed test involves comparing a test statistic to two critical values, one on each tail of the distribution. **Correct Answer:** - [ ] has two critical values. In this multiple-choice question, the correct answer is that a two-tailed hypothesis test for the population mean has two critical values. This is because the test checks for the possibility of the population mean being both significantly higher and significantly lower than the hypothesized mean. Therefore, two points are set as thresholds (critical values) to determine if the test statistic falls in the rejection regions on either side.
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