Final answer:
To find P(t<-0.82 or t>0.82) using the t-distribution, calculate the area under the t-distribution curve by finding the critical t-values and adding the calculated areas together.
Step-by-step explanation:
To find P(t<-0.82 or t>0.82) using the t-distribution, we need to calculate the area under the t-distribution curve. Here's how:
- Find the critical t-values for the given significance level and degrees of freedom. In this case, with a two-tailed test and n=5, the critical t-values are approximately -2.571 and 2.571.
- Calculate the area to the left of -0.82 and to the right of 0.82 separately using the t-distribution with n-1 degrees of freedom.
- Add the two calculated areas together to find the final probability.
Using a t-distribution table or a calculator, the probability P(t<-0.82 or t>0.82) is approximately 0.1897.