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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 MeansD Intervention 1440.7 10.26 Control1438.510.65 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. The preference of socks over the shoes for walking down an icy path The long-run average difference in the time it took participants to walk down the icy path O The preference of usual footwear for walking down an icy path O The distance covered when walking down an icy path State the null and the alternative hypotheses in the context of the study. Name the appropriate theory-based method you would use to test the hypotheses stated in part (b) State the validity conditions that have to be met to be able to perform the test named in part (c). Are these conditions met? 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 4 decimal places, e.g. 0.5863.) 1, p- Answer *1: the absolute tolerance is +/-0.02 Answer *2 e absolute tolerance 0.02

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.) 2) Answer *1: the absolute tolerance is +/-0.1 Answer *2: the absolute tolerance is +/-0.1 Summarize your conclusions about the research question of the study. we have strong evidence that the average walking time is significantly less for the intervention group. However, we cant determine cause and effect or generalize to a broader population because there might be other confounding factors we have strong evidence that the average walking time is significantly less for the intervention group. Because our results are not significant, we cant determine cause and effect or generalize to a broader population We do not have strong evidence that the average walking time is significantly less for the intervention group. Because our results are not significant, we cant determine cause and effect or generalize to a broader population. c we do not have strong evidence that the average walking time is significantly less for the intervention group. However, we cant determine cause and effect or generalize to a broader population because there might be other confounding factors. Question Attempts: Unlimited

math   Statistics-And-Probability   
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