Problem
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. Click the icon to view a t distribution table. TInterval \[ \begin{array}{l} (13.046,22.15) \\ x=17.598 \\ S x=16.01712719 \\ n=50 \end{array} \] a. What is the number of degrees of freedom that should be used for finding the critical value $t_{\alpha / 2}$ ? \[ \mathrm{df}= \] (Type a whole number.)
Solution
Step 1 ：The number of degrees of freedom for a t-distribution is typically calculated as the sample size minus 1. In this case, the sample size (n) is given as 50.
Step 2 ：Therefore, the degrees of freedom should be 50 - 1 = 49.
Step 3 ：\(n = 50\)
Step 4 ：\(df = 49\)
Step 5 ：\(\boxed{\text{Final Answer: The number of degrees of freedom that should be used for finding the critical value } t_{\alpha / 2} \text{ is } 49}\)
