WELCH
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> sample1 <- c(14, 15, 15, 15, 16, 18, 22, 23, 24, 25, 25)
> sample2 <- c(10, 12, 14, 15, 18, 22, 24, 27, 31, 33, 34, 34, 34)
> t.test(sample1, sample2)
Welch Two Sample t-test
data: sample1 and sample2
t = -1.5379, df = 18.137, p-value = 0.1413
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-10.453875 1.614714
sample estimates:
mean of x mean of y
19.27273 23.69231
> t.test(sample1, sample2, alternative = 'greater')
Welch Two Sample t-test
data: sample1 and sample2
t = -1.5379, df = 18.137, p-value = 0.9293
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
-9.40084 Inf
sample estimates:
mean of x mean of y
19.27273 23.69231
> t.test(sample1, sample2, alternative = 'less')
Welch Two Sample t-test
data: sample1 and sample2
t = -1.5379, df = 18.137, p-value = 0.07067
alternative hypothesis: true difference in means is less than 0
95 percent confidence interval:
-Inf 0.5616789
sample estimates:
mean of x mean of y
19.27273 23.69231
> sample1 <- c(24, 28, 32, 29, 35, 36, 30, 32, 25, 31)
> sample2 <- c(5, 10, 25, 15, 16, 20)
> t.test(sample1, sample2)
Welch Two Sample t-test
data: sample1 and sample2
t = 4.7857, df = 6.8409, p-value = 0.00213
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
7.57018 22.49649
sample estimates:
mean of x mean of y
30.20000 15.16667
> t.test(sample1, sample2, alternative = 'greater')
Welch Two Sample t-test
data: sample1 and sample2
t = 4.7857, df = 6.8409, p-value = 0.001065
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
9.061005 Inf
sample estimates:
mean of x mean of y
30.20000 15.16667
> t.test(sample1, sample2, alternative = 'less')
Welch Two Sample t-test
data: sample1 and sample2
t = 4.7857, df = 6.8409, p-value = 0.9989
alternative hypothesis: true difference in means is less than 0
95 percent confidence interval:
-Inf 21.00566
sample estimates:
mean of x mean of y
30.20000 15.16667