Respuesta :
Answer:
The critical value is [tex]T_{c} = 1.415[/tex]
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 [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.415.
The critical value is [tex]T_{c} = 1.415[/tex]
The degree of freedom is 7. Then the critical value of the given sample and 80% confidence level is 1.415.
What is a z-score?
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The confidence level c = 0.80 and sample size n = 8
The degree of freedom of the sample will be
DOF = 8 - 1 = 7
The 80% confidence level.
The critical value for the 80% confidence level will be
[tex]\rm \rightarrow 1 - \dfrac{1-0.8}{2} = 0.9\\\\Then \\\\T_c = 1.415[/tex]
More about the z-score link is given below.
https://brainly.com/question/13299273
