Question

In a single sample t-test with H0: µ = 25 against HA: µ  25, a sample of size 10 produced a sample mean of 26 and a computed t-value of 2.182. At the 0.05 level of significance, this means:

A. there is sufficient evidence to conclude that µ not equal to 25

B. there is sufficient evidence to conclude that µ = 25

C. there is sufficient evidence to conclude that µ = 26

D. there is sufficient evidence to conclude that µ not equal to 26

Answer 1

Solution:

Given that,

n = 10

df = n - 1 = 9

t - value = 2.182

This is a two tailed test,

P-value = 0.0570

Therefore, P_value > 0.05 , Fail to reject null hypothesis.

At the 0.05 level of significance, this means there is sufficient evidence to conclude that µ = 25.

Option B is correct.