Omer rides a bike to school every day. He has two alternative paths and cannot decide which Path A: number of rides 38; average time 10.4 min.; std dev. 1.1 min Path B: number of rides one is better. Using his smart watch he collects the following data: 35; average time 10.2 min.; std dev. 0.9 min (a) Construct a confidence interval with 93% confidence level for the difference between the commuting times via Path A vs. Path B. b) Based on the confidence interval, can Ömer claim that Path A is shorter than Path B?