In: Statistics and Probability
1. A sports scientist collects strength data from two groups of students. The first group is a group of athletes who might be expected to be strong, and the second group is a control group of nonathletic students. The first group has strength ratings of: c(129.4, 111.8, 127.7, 130, 120.7, 118.2, 121.9) And the second group has strength ratings of: c(149.1, 111.6, 122.1, 126.4, 123.3, 105.5, 127.3, 101.2, 113.3 ) Is there evidence that the first group is actually stronger than the second?
(a) State a sensible null hypothesis
(b) Is a one-sided or two-sided test needed? justify
(c) Perform a student t-test using R and interpret