Question
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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