A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the 0.05 significance level, is there a difference between the population means?

Answer: There is not significant difference between the population means

Step-by-step explanation:

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean

1 10 23.00 4.00 1.3

2 8 26.00 5.00 1.8

Difference = ? (1) - ? (2)

Estimate for difference: - 3.00

95% CI for difference: (-7.49, 1.49)

T-Test of difference = 0 (vs?) : T-Value = - 1.42 P-Value = 0.176 DF = 16

Both use Pooled StDev = 4.4651

since p-value = 0.176 > 0.05

Therefore at 0.05 significant level we fail to reject the null hypothesis

there is not significant difference between the population means