In: Statistics and Probability
Find the critical values, t0, to test the claim that
μ1 = μ2. Two samples are random, independent,
and come from populations that are normal. The sample statistics
are given below. Assume that .
n1 = 25 n2 = 30
1 = 25 | 2 = 23 |
s1 = 1.5 s2 = 1.9
Solution-
For testing the given claim population standard deviations are unknown so, t test is used.
alpha is not given but generally in hypothesis testing value of alpha is 0.05.
hence, critical value at 0.05 and df = 53
t0 = ± 2.006
◆ Test calculation and results-
Test results that the null hypothesis Ho is rejected.
therefore, there is Not enough evidence to support the claim