I am needing to calculate Welch\'s t-test based on the following three expirment
ID: 3071380 • Letter: I
Question
I am needing to calculate Welch's t-test based on the following three expirments. Set A is the first series for one expirement and Set B is the second series for that experiment. The significant value used should be 0.05. Please calculate the t-test for all three experiments providing a solution and an answer. I have provided the data, formulas, and significant chart. Thank you.
Set: A Trial: 1 Trial: 2 Trial: 3 Set: B Trial: 1 Trial: 3 Measurement Time (sec) Measurement Time (sec) 1.34 1.34 1.30 1.34 1.34 1.34 1.34 1.36 0.00837 0 0.0231 0.00252 0 Deviation of StandardExplanation / Answer
Experiment 1:
Two-Sample T-Test and CI: Set A, Set B
Two-sample T for Set A vs Set B
N Mean StDev SE Mean
Set A 15 1.3347 0.0106 0.0027
Set B 30 1.3333 0.0207 0.0038
Difference = mu (Set A) - mu (Set B)
Estimate for difference: 0.00133
95% CI for difference: (-0.00809, 0.01076)
T-Test of difference = 0 (vs not =): T-Value = 0.29 P-Value = 0.777 DF = 42
Critical value>1.960 so |T-value|<Critical value
Hence there is not a significant difference between the mean of two sets.
Experiment 2:
Two-sample T for Set A vs Set B
N Mean StDev SE Mean
Set A 15 1.3347 0.0106 0.0027
Set B 15 1.34533 0.00743 0.0019
Difference = mu (Set A) - mu (Set B)
Estimate for difference: -0.01067
95% CI for difference: (-0.01755, -0.00378)
T-Test of difference = 0 (vs not =): T-Value = -3.19 P-Value = 0.004 DF = 25
Since 2.228>Critical value>1.960 so |T-value|>Critical value
Hence there is a significant difference between the mean of two sets.
Experiment 3:
Two-Sample T-Test and CI: Set A, Set B
Two-sample T for Set A vs Set B
N Mean StDev SE Mean
Set A 15 1.3347 0.0106 0.0027
Set B 15 1.3373 0.0205 0.0053
Difference = mu (Set A) - mu (Set B)
Estimate for difference: -0.00267
95% CI for difference: (-0.01510, 0.00977)
T-Test of difference = 0 (vs not =): T-Value = -0.45 P-Value = 0.660 DF = 20
Critical value>1.960 so |T-value|<Critical value
Hence there is not a significant difference between the mean of two sets.
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