web Search ucation.com/ext/map/index.html?_con=con&external_browser%3D0&launchUrl=https%253A%252F%252Fbb.clarkstate.edu%252Fwebapps%252Fblackboard%. 37 unread)- thintsl.. Welcome, Timothy.. O Staff y Yahoo Search - We. O NA Zoom Meetings Avery Design & Pri. O Mail - Timothy Tyle.. factorial nework i Saved A sample of 34 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level. Hoi H S14 H> 14 a. Is this a one- or two-tailed test? O One-tailed test O Two-tailed test ices b. What is the decision rule? O Reject Ha when z> 1.282 O Reject Ho when zs 1.282 c. What is the value of the test statistic? (Round your answer to 2 decimal places.) Value of the test statistic

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**Title: Conducting a Hypothesis Test**

**Scenario:**

A sample of 34 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level.

**Hypotheses:**

- Null Hypothesis (\(H_0\)): \(\mu \leq 14\)
- Alternative Hypothesis (\(H_1\)): \(\mu > 14\)

**Questions:**

a. **Is this a one- or two-tailed test?**

- [x] One-tailed test
- [ ] Two-tailed test

b. **What is the decision rule?**

- [x] Reject \(H_0\) when \(z > 1.282\)
- [ ] Reject \(H_0\) when \(z \leq 1.282\)

c. **What is the value of the test statistic?** (Round your answer to 2 decimal places.)

- [ ] Value of the test statistic: [ ]

**Instructions:** Use the information provided to calculate the test statistic and determine whether to reject or not reject the null hypothesis based on the decision rule. 

This exercise helps in understanding the concepts of hypothesis testing, decision rules, and z-scores in the context of statistical analysis.
Transcribed Image Text:**Title: Conducting a Hypothesis Test** **Scenario:** A sample of 34 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level. **Hypotheses:** - Null Hypothesis (\(H_0\)): \(\mu \leq 14\) - Alternative Hypothesis (\(H_1\)): \(\mu > 14\) **Questions:** a. **Is this a one- or two-tailed test?** - [x] One-tailed test - [ ] Two-tailed test b. **What is the decision rule?** - [x] Reject \(H_0\) when \(z > 1.282\) - [ ] Reject \(H_0\) when \(z \leq 1.282\) c. **What is the value of the test statistic?** (Round your answer to 2 decimal places.) - [ ] Value of the test statistic: [ ] **Instructions:** Use the information provided to calculate the test statistic and determine whether to reject or not reject the null hypothesis based on the decision rule. This exercise helps in understanding the concepts of hypothesis testing, decision rules, and z-scores in the context of statistical analysis.
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