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4. Critical Thinking Consider a test for μ. If the P-value is such that you can reject H, at the 5% level of significance, can you always reject H, at the 1% level of significance? Explain.

4. Critical Thinking Consider a test for μ. If the P-value is such that you can reject H, at the 5% level of significance, can you always reject H, at the 1% level of significance? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Please answer number 4. Make sure to show work! Thanks!
2. 3. Statistical Literacy When using the Student's t distribution to test μ, what value do you use for the degrees of freedom? 4. Statistical Literacy To test μ for an x distribution that is mound-shaped us- ing sample size n ≥ 30, how do you decide whether to use the normal or the Student's t distribution? Critical Thinking Consider a test for u. If the P-value is such that you can reject H, at the 5% level of significance, can you always reject H, at the 1% level of significance? Explain. 5. Critical Thinking Consider a test for μ. If the P-value is such that you can reject H for a = 0.01, can you always reject H, for a = 0.05? Explain. 7. 6. Critical Thinking If sample data is such that for a one-tailed test of μ you can reject H at the 1% level of significance, can you always reject H for a two-tailed test at the same level of significance? Explain. Basic Computation: P-value Corresponding to t Value For a Student's t distribution with d.f. = 10 and t = 2.930, (a) find an interval containing the corresponding P-value for a two-tailed test. (b) find an interval containing the corresponding P-value for a right-tailed test.
Transcribed Image Text:2. 3. Statistical Literacy When using the Student's t distribution to test μ, what value do you use for the degrees of freedom? 4. Statistical Literacy To test μ for an x distribution that is mound-shaped us- ing sample size n ≥ 30, how do you decide whether to use the normal or the Student's t distribution? Critical Thinking Consider a test for u. If the P-value is such that you can reject H, at the 5% level of significance, can you always reject H, at the 1% level of significance? Explain. 5. Critical Thinking Consider a test for μ. If the P-value is such that you can reject H for a = 0.01, can you always reject H, for a = 0.05? Explain. 7. 6. Critical Thinking If sample data is such that for a one-tailed test of μ you can reject H at the 1% level of significance, can you always reject H for a two-tailed test at the same level of significance? Explain. Basic Computation: P-value Corresponding to t Value For a Student's t distribution with d.f. = 10 and t = 2.930, (a) find an interval containing the corresponding P-value for a two-tailed test. (b) find an interval containing the corresponding P-value for a right-tailed test.
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