Speed, size, and strength are thought to be important factors in football performance. An article reported on physical characteristics of Division I starting football players in a football season. Information for teams ranked in the top 20 was obtained, and it was reported that the mean weight of starters on top-20 teams was 105 kg. A random sample of 33 starting players (various positions were represented) from Division I teams that were not ranked in the top 20 resulted in a sample mean weight of 102.3 kg and a sample standard deviation of 16.1 kg. Is there sufficient evidence to conclude that the mean weight for non-top-20 starters is less than 105, the known value for top-20 teams? Carry out a test using a significance level of 0.05. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t=
P-value=