The average price of seven ABC dishwashers was $845, and the average price of nine XYZ...
The average price of seven ABC dishwashers was $845, and the average price of nine XYZ dishwashers was $815. The standard deviations were $9 and $19, respectively. At alpha = 0.05, can one conclude that the ABC dishwasher cost more?
Ho:μ ABC = μ XYZ
H1: μ ABC > μ XYZ
a. Calculate the Test Statistic.
b. Find the P-value.
Homework Answers
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ1 = μ2
Alternative Hypothesis, Ha: μ1 > μ2
Pooled Variance
sp = sqrt(s1^2/n1 + s2^2/n2)
sp = sqrt(81/7 + 361/9)
sp = 7.1891
Test statistic,
z = (x1bar - x2bar)/sp
z = (845 - 815)/7.1891
z = 4.17
P-value Approach
P-value = 0
As P-value < 0.05, reject the null hypothesis.
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