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
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.
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