Statistical Analysis of Paired Two-Sample Means using t-Test - Prof. Picar, Papers of Statistics

The results of a statistical analysis using the t-test for paired two-samples to compare the means of two related samples. The analysis involves calculating various statistics such as mean, variance, observations, pearson correlation, t-statistic, and critical values. Based on the calculated t-statistic and critical values, the null hypothesis of no difference between the before and after results is accepted.

Typology: Papers

2020/2021

Uploaded on 06/13/2021

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X Y
19 41 t-Test: Paired Two Sample for Means
54 117
123 30 X Y
49 114 Mean 72.9 71.1
38 47 Variance 1312.544 1447.21111111111
121 71 Observations 10 10
86 38 Pearson Correlation 0.073451
109 125
Hypothesized Mean Dif
0
78 94 df 9
52 34 t Stat 0.11256
P(T<=t) one-tail 0.456425
t Critical one-tail 1.833113
P(T<=t) two-tail 0.91285
t Critical two-tail 2.262157
SINCE ABSOLUTE VALUE OF T = 1.83 IS GREATER THAN ABSOLUTE VALUE OF COMPUTED T = 0.11, THEREFORE
ACCEPT THE THE NULL HYPOTHESIS, THAT THERE IS NO DIFFERENCE BETWEEN THE BEFORE AND AFTER RESULT
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X Y

19 41 t-Test: Paired Two Sample for Means 54 117 123 30 X Y 49 114 Mean 72.9 71. 38 47 Variance 1312.544 1447. 121 71 Observations 10 10 86 38 Pearson Correlation 0. 109 125 Hypothesized Mean Dif 0 78 94 df 9 52 34 t Stat 0. P(T<=t) one-tail 0. t Critical one-tail 1. P(T<=t) two-tail 0. t Critical two-tail 2. SINCE ABSOLUTE VALUE OF T = 1.83 IS GREATER THAN ABSOLUTE VALUE OF COMPUTED T = 0.11, THEREFORE ACCEPT THE THE NULL HYPOTHESIS, THAT THERE IS NO DIFFERENCE BETWEEN THE BEFORE AND AFTER RESUL

OMPUTED T = 0.11, THEREFORE

EN THE BEFORE AND AFTER RESULT