Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. a. What is the number of degrees of freedom that should be used for finding the critical value \( \mathrm{t}_{\alpha / 2} \) ? df = 49 (Type a whole number.) b. Find the critical value \( \mathrm{t}_{\alpha / 2} \) corresponding to a \( 95 \% \) confidence level. \( t_{\alpha / 2}=\square \) (Round to two decimal places as needed.)

To find the critical value \( t_{\alpha / 2} \) for a \( 95 \% \) confidence level with \( 49 \) degrees of freedom, we first acknowledge that \( \alpha \) is \( 1 - 0.95 = 0.05 \). Since it’s a two-tailed test, we divide \( \alpha \) by \( 2 \), giving us \( \alpha / 2 = 0.025 \). Using a t-distribution table or calculator, we can look up the critical value for \( 49 \) degrees of freedom at \( 0.025 \). b. The critical value \( t_{\alpha / 2} \) is approximately \( 2.01 \) (rounded to two decimal places).