Question

determine the critical value for a right - tailed test of a population mean at the \\( \alpha = 0.1 \\) level of significance with 23 degrees of freedom. round to three decimal places
oa. 2.500
ob. 1.321
oc. - 1.319
od. 1.319

Explanation:

Step1: Identify the distribution

Since the population standard deviation is unknown, we use the t - distribution.

Step2: Locate the critical value

For a right - tailed test with $\alpha = 0.1$ and degrees of freedom $df=23$.
We look up the value in the t - distribution table (or use a statistical software/ calculator function). The formula for the critical value $t_{\alpha,df}$ gives us the value.
Using a t - table or calculator: $t_{0.1,23}=1.319$

Answer:

D. 1.319