MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Topic: T-Distribution and Critical Values**

For a t-curve with d.f.=8, find the two t-values that divide the area under the curve into a middle 0.99 area and two outside areas of 0.005.

- ○ 0, 2.897
- ○ -3.355, 3.355
- ○ 0, 3.355
- ● -2.897, 2.897

**Explanation:**
In a t-distribution with 8 degrees of freedom (d.f.=8), to find the critical t-values that create a central region covering 99% of the distribution (leaving 0.005 in each tail), we look up the t-distribution table or use statistical software.

Here, the correct t-values are -2.897 and 2.897, which split the t-curve into the desired areas.
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Transcribed Image Text:**Topic: T-Distribution and Critical Values** For a t-curve with d.f.=8, find the two t-values that divide the area under the curve into a middle 0.99 area and two outside areas of 0.005. - ○ 0, 2.897 - ○ -3.355, 3.355 - ○ 0, 3.355 - ● -2.897, 2.897 **Explanation:** In a t-distribution with 8 degrees of freedom (d.f.=8), to find the critical t-values that create a central region covering 99% of the distribution (leaving 0.005 in each tail), we look up the t-distribution table or use statistical software. Here, the correct t-values are -2.897 and 2.897, which split the t-curve into the desired areas.
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