Question

Given the information below, enter the p-value to test the following hypothesis at the 1% significance...

Given the information below, enter the p-value to test the following hypothesis at the 1% significance level :

Ho : µ1 = µ2

Ha : µ1 > µ2  

Sample 1 Sample 2
n1 = 14 n2=12
x1 = 113 x2=112
s1 = 2.6 s2=2.4


What is the p-value for this test ? ( USE FOUR DECIMALS)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Ho : µ1 = µ2

Ha : µ1 > µ2

Test Statistic :-


t = 1.0191


Test Criteria :-
Reject null hypothesis if


DF = 23


Result :- Fail to Reject Null Hypothesis

P value

Looking for the value t = 1.0191 in t table across n - 1 = 23 - 1 = 22 degree of freedom.

Using excel we calculate P value =  0.1592

Decision based on P value

Reject null hypothesis if P value < level of significance

P value = 0.1592 > 0.01, hence we fail to reject null hypothesis

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