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T test for one independent sample with a set of either away or home numbers Game 1: 6 points, Home Game 2: 25 points, Away

T test for one independent sample with a set of either away or home numbers

Game 1: 6 points, Home

Game 2: 25 points, Away

Game 3: 17 points, Away

Game 4: 30 points, Home

Game 5: 27 points, Home

Game 6: 30 points, Away

Game 7: 13 points, Home

Game 8: 27 points, Away

Game 9: 3 points, Away

Game 10: 0 points, Home

Game 11: 21 points, Away

Game 12: 17 points, Home

Game 13: 29 points, Away

Game 14: 13 points, Away

Game 15: 20 points, Home

Game 16: 15 points, Away

Game 17: 20 points, Home

Like so:

X

X squared

n= 17

Hypothesis Test Summary: t-Test for Population Mean (Points scored Investigation)

33

1089

Sum of X = 288

Research problem : Are the Scores for the 2021 detroit Lions, significantly Higher than the NFL Average

17

289

Mean of X =288/17 = 16.94

Statistical Hypothesis : H0: u < 23 H1: u > 23

17

289

X sq =7529

Decision Rule: Reject HO at the .05 level of significance if t > 1.746

14

196

7529-(288)2/17

Calculations : t = (16.94 - 23)/3.12 = -1.94

17

289

7529 - 4879.06

Decision: Retain Ho at the .05 level of significance because t = -1.94, is Not More Positive than 1.753.

11

121

Sum of squares =2649.94

Iterpretation: The 2021 Detroit Lions offens was not significantly greater than the rest of the league.

19

361

2649.94/16 = 165.62

6

36

square root 165.62

Confidence Interval

16

256

Sample SSD = 12.87

16.94 plus/ minus (2.120)(3.12)

10

100

12.87/ sq rt 17

16.94 plus/ minus 6.6144

14

196

12.87/4.12

Minus 10.3256

29

841

ESEM = 3.12

Plus 23.5544

10

100

HPM =23

30

900

16.94 - 23/3.12

16

256

-1.94230769230769

29

841

t= -1.94

37

1369

288

7529

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