Minitab is used for the analysis.
The output is:
Two-Sample T-Test and CI
Sample N Mean StDev SE Mean
1 18 34.44 4.00 0.94
2 16 32.030 0.300 0.075
Difference = μ (1) - μ (2)
Estimate for difference: 2.410
95% CI for difference: (0.415, 4.405)
T-Test of difference = 0 (vs ≠): T-Value = 2.55 P-Value = 0.021 DF
= 17
p-value = 2*P[t17>2.55] = 0.021
95% C.I.=
=0.728
power = 1-0.728 = 0.272
2) The output of the test is
Two-Sample T-Test and CI
Sample N Mean StDev SE Mean
1 8 1.130 0.110 0.039
2 8 1.0800 0.0900 0.032
Difference = μ (1) - μ (2)
Estimate for difference: 0.0500
95% CI for difference: (-0.0586, 0.1586)
T-Test of difference = 0 (vs ≠): T-Value = 1.00 P-Value = 0.338 DF
= 13
The P value is 0.338
95% CI for difference: (-0.0586, 0.1586)
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