Waiting Times for Family Physicians A researcher selected a random sample of 10 patients of a family physician and found the following waiting times, At \( \alpha=0.10 \), can it be concluded that the waiting times are less than the national average of 19 minutes? Use the critical value method and tables. \[ \begin{array}{lllll}15.1 & 16.5 & 17.9 & 20.4 & 21.3 \\ 17.2 & 15.6 & 18,9 & 21.4 & 19.3\end{array} \] Send data to Excel ) Part: \( 0 / 5 \) Part 1 of 5 (a) State the thypotheses and identify the claim. His : (Choose one)

To determine the waiting times for family physicians, we first need to set up our hypotheses based on the information provided. The null hypothesis (\(H_0\)) represents the status quo, indicating that the mean waiting time is equal to the national average of 19 minutes. The alternative hypothesis (\(H_a\)) suggests that the mean waiting time is less than this average, aiming to determine if there is a statistically significant difference. - \(H_0: \mu = 19\) (The mean waiting time is equal to 19 minutes) - \(H_a: \mu < 19\) (The mean waiting time is less than 19 minutes) The claim being tested is that the waiting times are indeed less than the national average, which aligns with the alternative hypothesis. Now, let's get into your analysis and see what the data suggests!