Question

Find the critical value t for the confidence level c= 0.98 and sample size n=7.

Click the icon to view the t-distribution table.
=(Round to the nearest thousandth as needed.)

Answer 1

The critical value is T = 3.143.

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 = 7 - 1 = 6

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of
`1 - (1 - 0.98)/(2) = 0.99`. So we have T = 3.143.

The critical value is T = 3.143.