Question

Can you please help me with this questions Find the critical value t(alpha/2) corresponding to the 95% confidence interval

Answer 1

df = 49

t = 2.01

Step-by-step explanation:

The degrees of freedom for the t-distribution is always equal to the size of the sample n minus 1, so the degrees of freedom are:

df = n - 1

df = 50 - 1

df = 49

Then, the critical value is t(alpha/2) can be calculated using a t table with 49 degrees of freedom, where

alpha = 100% - 95% = 5%

So, alpha/2 = 5%/2 = 2.5%

Therefore, using a table, we get:

`t_{(\alpha)/(2)}=2.01`

So, the answers are:

df = 49

t = 2.01