Answer:[tex]\pm2.131[/tex]
Step-by-step 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 [tex]\alpha/2[/tex] and df , where [tex]\alpha=[/tex] significance level and df = Degree of freedom.
We are given , [tex]\alpha=0.05[/tex]
Then, [tex]\alpha/2=0.025[/tex]
df = 15
Now , from the students's t-distribution table
The critical value in the t-distribution for a two-tailed hypothesis test is [tex]t=\pm2.131449\approx\pm2.131[/tex]
Hence, the required t-value = [tex]\pm2.131[/tex]
