You wish to test the following claim (HaHa) at a significance level of α=0.001
You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n1=13 with a mean of ¯x1=69.1 and a standard deviation of s1=15.5 from the first population. You obtain a sample of size n2=22 with a mean of ¯x2=64.3 and a standard deviation of s2=14.4 from the second population.
The statistical software output for this problem is:
From above output:
Test statistic = 0.9086
p - Value = 0.3726
Greater than α
Fail to reject the null
Final conclusion: There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean. Option D is correct.
Two sample T summary hypothesis test: Mean of Population 1 He Mean of Population 2 H.-H.: Difference between two means HOH-H=0 HH - H2=0 (without pooled variances) Hypothesis test results: Difference Sample Diff. Std. Err. DF T-Stat 4.8 5.2826342 23.821031 0.90863759 P-value 0.3726
Get Answers For Free
Most questions answered within 1 hours.