Im having a lot of trouble this problem. Any explanation will be most appreciated!

Chapter 06.03 Exercise Question 11 6.3.11 In a study conducted in New Zealand, Parkin et al. randomly assigned volunteers to either wear socks over their shoes (intervention) or wear usual footwear (control) as they walked downhill on an inclined icy path. Researchers standing at the bottom of the inclined path measured the time (in seconds) taken by each participant to walk down the path. Here are the summary statistics. Note that the data are fairly symmetric in both groups. n Mean SD Intervention 1438.3 9.63 Control 1540 10.62 The research question to be addressed through the following questions is: Do the data provide evidence that people wearing socks over their shoes will take a shorter time to walk down an icy, steeply inclined road, on average, compared to those wearing usual footwear? Select the parameter of interest in the context of this study. O The long-run average difference in the time it took participants to walk down the icy path O The preference of socks over the shoes for walking down an icy path O The preference of usual footwear for walking down an icy path The distance covered when walking down an icy path LINK TO TEXT State the null and the alternative hypotheses in the context of the study.Regardless of your answer to part (d), perform the theory-based test proposed in part (c). (Round the test statistic to 2 decimal places, e.g. 1.58, and the p-value to 3 decimal places, e.g. 0.586.) t= , P= LINK TO TEXT Determine a 95% confidence interval for comparing the walking time between the two groups. (Round your answers to 4 decimal places, e.g. 0.5863.) LINK TO TEXT