Question

Find the critical value in the t-distribution for a two-tailed hypothesis test in which α = .05 and df = 15 Round your answer to the thousandth decimal place.

Answer 1

Answer:
`\pm2.131`

Explanation:

The critical value in the t-distribution for a two-tailed hypothesis test is the t-value in the students's t-distribution table corresponding to the
`\alpha/2` and df , where
`\alpha=` significance level and df = Degree of freedom.

We are given ,
`\alpha=0.05`

Then,
`\alpha/2=0.025`

df = 15

Now , from the students's t-distribution table

The critical value in the t-distribution for a two-tailed hypothesis test is
`t=\pm2.131449\approx\pm2.131`

Hence, the required t-value =
`\pm2.131`