Consider the following hypothesis test: H0: population 1 mean - population 2 mea
ID: 3356740 • Letter: C
Question
Consider the following hypothesis test:
H0: population 1 mean - population 2 mean = 0
Ha: population 1 mean - population 2 mean does not equal 0
The following results are for two independent samples taken from the two populations:
Sample 1
Sample 2
n1 = 80
n2 = 70
x1 = 104
x2 = 106
sd1 = 8.4
sd2 = 7.6
What is the value of the test statistic:
What is the p-value?(4 decimals)
With a = .05, what is your hypothesis testing conclusion
Sample 1
Sample 2
n1 = 80
n2 = 70
x1 = 104
x2 = 106
sd1 = 8.4
sd2 = 7.6
Explanation / Answer
So, Z = (104-106)/ sqrt( (8.4^2/80)+(7.6^2/70)) = -1.531
The P-Value is 0.125769.
The result is not significant at p < 0.05.
We do not reject the null hypothesis and conclude due to lack of eveidence that the 2 population means are equal.
H0: population 1 mean - population 2 mean = 0
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