Nike has produced new running shoes. nike made them run around a track. to analyze the shoes, they made the first test group wear new shoes and the second test group wear old shoes. They are eight people in the first group and 5 in the second. Of the 8 people in group one, the average was 95.7 sec and a standard deviation of 2.15 sec. of the 5 in the second group, the average was 104.98 sec. and a standard deviation of 1.82 sec.

Assume this is a normal distribution. Do a hypothesis test of 0.05 significance level. Based on the hypothesis, does group 1 have more variability?

What kind of tail is it? Is it one sample or two sample?