An article that appeared in the British Medical Journal (2010) presented the results of a randomized experiment conducted by researcher Jeremy Groves, whose objective was to determine whether the weight of his bicycle could affect his travel time to work. On each of 56 days (from mid-January to mid-July 2010), Groves tossed a £1 coin to decide whether he would be biking to work on his carbon frame (lighter) bicycle that weighed 20.9 lbs or on his steel frame (heavier) bicycle that weighed 29.75 lbs. He then recorded the commute time (in minutes) for each trip.
Here are the summary statistics for his data:
-The p-value comparing the two average commute times for the two different bikes was found to be 0.728. Which of the following is the most appropriate conclusion based on this p-value?

Question

An article that appeared in the British Medical Journal (2010) presented the results of a randomized experiment conducted by researcher Jeremy Groves, whose objective was to determine whether the weight of his bicycle could affect his travel time to work. On each of 56 days (from mid-January to mid-July 2010), Groves tossed a £1 coin to decide whether he would be biking to work on his carbon frame (lighter) bicycle that weighed 20.9 lbs or on his steel frame (heavier) bicycle that weighed 29.75 lbs. He then recorded the commute time (in minutes) for each trip.
Here are the summary statistics for his data: 
-The p-value comparing the two average commute times for the two different bikes was found to be 0.728. Which of the following is the most appropriate conclusion based on this p-value?

Quizplus · Accepted Answer

A p-value of 0.728 is much higher than the common significance level of 0.05, indicating there is no evidence to reject the null hypothesis that the mean commute times are the same.

An Article That Appeared in the British Medical Journal (2010)