Find the critical value of t for a sample size 27 and a 99% confidence level?

The critical values define the values to cut-off in a region where the test statistic does not belong

The critical value is

The given parameters are:

First, we calculate the significance level

Substitute 99% for CL

Express percentage as decimal

Next, calculate the degrees of freedom

Substitute 27 for n

At and , the critical value is -2.778715

So, we have:

Hence, the critical value is

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The critical value is T = 2.7787

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 = 27 - 1 = 26

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.7787

The critical value is T = 2.7787

1; 35 is the ratio

step-by-step explanation: