The New England Patriots. The 2017 roster of the New England Patriots, winners of the 2017 NFL Super Bowl included 12 defensive linemen and 9 offensive linemen. The Minitab Express file for this problem contains the weights in pounds of the offensive and defensive linemen. Use this data set to test the claim that the defensive linesmen weigh less that the offensive linemen at the 5% level of significance.

NumberNamePositionWeightLine

97Branch, AlanNT325Defensive Line

99Buchanan, MichaelDE255Defensive Line

74Easley, DominiqueDE290Defensive Line

98Forston, MarcusDT305Defensive Line

95Jones, ChandlerDE265Defensive Line

94Jones, ChrisDT309Defensive Line

90Moore, ZachDE275Defensive Line

50Ninkovich, RobDE260Defensive Line

96Siliga, SealverDT325Defensive Line

90Smith, WillDE282Defensive Line

72Vellano, JoeDT300Defensive Line

75Wilfork, VinceDT325Defensive Line

61Cannon, MarcusG335Offensive Line

63Connolly, DanG305Offensive Line

65Devey, JordanG317Offensive Line

71Fleming, CameronG325Offensive Line

67Kline, JoshG295Offensive Line

77Solder, NateT320Offensive Line

66Stork, BryanC310Offensive Line

76Vollmer, SebastianT320Offensive Line

62Wendell, RyanG300Offensive Line

In the following format (example) with explanation:

Solution:

Step 1. H0:d 0 vs. Ha:d < 0

Step 2. t = -2.788

Step 3. p-value=0.01765

Step 4; Conclusion: 0.01765<0.0. Here, the null hypothesis is rejected. There is not enough evidence to support the claim that the reaction time for an individual's dominant hand is less than their non-dominant hand