Find the t-value(s) for each of the following cases. Round your answers to 3 decimal places. Enter negative values as negative number. Upper tail area of .025 with 12 degrees of freedom is Lower tail area of .005 with 55 degrees of freedom is Upper tail area of .20 with 30 degrees of freedom is Where 90% of the area falls between these two t-values with 20 degrees of freedom. 1. Where 99% of the area falls between these two t-values with 45 degrees of freedom.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Exercise: Calculating T-Values**

In this exercise, you will find the t-value(s) for various statistical cases. Please round your answers to three decimal places and enter negative values as negative numbers.

1. **Upper Tail Area**
   - Upper tail area of 0.025 with 12 degrees of freedom is ________.

2. **Lower Tail Area**
   - Lower tail area of 0.005 with 55 degrees of freedom is ________.

3. **Upper Tail Area**
   - Upper tail area of 0.20 with 30 degrees of freedom is ________.

4. **Middle Range for 90% of Area**
   - Where 90% of the area falls between these two t-values with 20 degrees of freedom:
     - ( ________, ________ )

5. **Middle Range for 99% of Area**
   - Where 99% of the area falls between these two t-values with 45 degrees of freedom:
     - ( ________, ________ )

This exercise helps in understanding how to use t-distribution tables or statistical software to determine the critical t-values for specific tail areas and different degrees of freedom.
Transcribed Image Text:**Exercise: Calculating T-Values** In this exercise, you will find the t-value(s) for various statistical cases. Please round your answers to three decimal places and enter negative values as negative numbers. 1. **Upper Tail Area** - Upper tail area of 0.025 with 12 degrees of freedom is ________. 2. **Lower Tail Area** - Lower tail area of 0.005 with 55 degrees of freedom is ________. 3. **Upper Tail Area** - Upper tail area of 0.20 with 30 degrees of freedom is ________. 4. **Middle Range for 90% of Area** - Where 90% of the area falls between these two t-values with 20 degrees of freedom: - ( ________, ________ ) 5. **Middle Range for 99% of Area** - Where 99% of the area falls between these two t-values with 45 degrees of freedom: - ( ________, ________ ) This exercise helps in understanding how to use t-distribution tables or statistical software to determine the critical t-values for specific tail areas and different degrees of freedom.
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