Question

Use Appendix B.5 to locate the value of t under the following conditions. (Round your answers to 3 decimal places.)

a. The sample size is 12 and the level of confidence is 95%.
Value of t
b. The sample size is 20 and the level of confidence is 90%.
Value of t
c. The sample size is 8 and the level of confidence is 99%.
Value of t
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eBook: Compute and interpret a confidence interval for a population mean.
Worksheet Difficulty: 2 Intermediate Learning Objective: 09-02 Compute and interpret a confidence interval for a population mean.

Answer 1

a) t = 2.2010

b) t = 1.7291

c) t = 3.4995.

Explanation:

a. The sample size is 12 and the level of confidence is 95%.

12 - 1 = 11 degrees of freedom, either two-tailed test at
`\alpha = 0.975` or one-tailed test at
`\alpha = 0.95`, so t = 2.2010.

b. The sample size is 20 and the level of confidence is 90%.

20 - 1 = 19 degrees of freedom, either two-tailed test at
`\alpha = 0.95` or one-tailed test at
`\alpha = 0.9`, so t = 1.7291.

c. The sample size is 8 and the level of confidence is 99%.

8 - 1 = 7 degrees of freedom, either two-tailed test at
`\alpha = 0.995` or one-tailed test at
`\alpha = 0.99`, so t = 3.4995.