While technology or a t-distribution Distribution Table can be used to find the area, in this problem, technology will be used. Find the P-value associated with t t0equals=1.34 and 19 degrees of freedom, rounding to three decimal places.
Can someone explain how to "use technology to find this number? the P value I know is .098 but how did this get to this number?
To find the P-value associated with the given t-value and degrees of freedom using technology, you typically need to use statistical software or an online calculator. However, I can explain the general process behind using technology to find the P-value.
1. Start by determining the degrees of freedom (df). In this case, the degrees of freedom is 19.
2. Open the statistical software or online calculator that you have access to. Look for a "t-distribution" or "probability distribution" tool.
3. Enter the t-value into the designated field. In this case, enter t₀ = 1.34.
4. Specify the degrees of freedom (df) as 19.
5. Click on the "calculate" or "calculate probability" button to obtain the result.
6. The software or calculator will show you the corresponding probability or area under the t-distribution curve. This probability is the P-value associated with the given t-value and degrees of freedom.
In your case, the P-value is 0.098 when rounded to three decimal places. This means that there is approximately a 9.8% probability of observing a t-value as extreme as 1.34 (or more extreme) assuming the null hypothesis is true.
Note that different software or calculators might have slightly different interfaces, but the general steps should be similar.