question 9 **Building Basic Skills and Vocabulary**1. **Explain how to find critical values for a t-distribution.**2. **Explain how to use a t-test to test a hypothesized mean \( \mu \) when σ is unknown. What assumptions are necessary?****Exercises 3-8:** Find the critical value(s) and rejection region(s) for the type of t-test with level of significance α and sample size n.3. Left-tailed test, \( \alpha = 0.10, n = 20 \) 4. Left-tailed test, \( \alpha = 0.01, n = 35 \) 5. Right-tailed test, \( \alpha = 0.05, n = 23 \) 6. Right-tailed test, \( \alpha = 0.01, n = 31 \) 7. Two-tailed test, \( \alpha = 0.05, n = 27 \) 8. Two-tailed test, \( \alpha = 0.10, n = 38 \) **Graphical Analysis****In Exercises 9-12,** state whether each standardized test statistic t allows you to reject the null hypothesis. Explain.9. (a) \( t = 2.091 \) (b) \( t = 0 \) (c) \( t = -2.096 \) - The graph shows a normal t-distribution with shaded rejection regions. The critical value is \( t_0 = 2.086 \). Points are marked on the t-axis.10. (a) \( t = 1.4 \) (b) \( t = 1.42 \) (c) \( t = -1.402 \) - The graph displays a t-distribution with rejection regions shaded. The critical value is \( t_0 = 1.402 \).11. (a) \( t = -1.755 \) (b) \( t = -1.585 \) (c) \( t = 1.745 \) - This graph also shows a t-distribution with rejection regions shaded. The critical value is \( t_0 = -1.725 \).12. (a) \( t = -1.1 \) (b

Name: question 9 **Building Basic Skills and Vocabulary**1. **Explain how to
Uploaded: 2024-03-20T07:07:50.000Z
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Description: question 9 **Building Basic Skills and Vocabulary**1. **Explain how to find critical values for a t-distribution.**2. **Explain how to use a t-test to test a hypothesized mean \( \mu \) when σ is unknown. What assumptions are necessary?****Exercises