Question

Find the critical value Tc for the confidence level c=0.80 and sample size n=8

Answer 1

Answer:

The critical value is $T_{c} = 1.415$

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.8}{2} = 0.9$. So we have T = 1.415.

The critical value is $T_{c} = 1.415$