Question 1165836: A Company manufactures car batteries whit two different production methods. The lives (in years) of the batteries are found for a sample from each group, with following results.
Traditional Method
n = 15
x̅= 4.31
s = 0.37
Experimental Method
n = 15
ȳ= 4.31
s = 0.31
At the 0.05 significance level, test the claim that the two production methods yield batteries with the same mean. Based on the results, if you were buying a battery of your car, would you prefer a battery manufactured by the traditional method or the experimental method?
What is the objective:
state the hypothesis:
provide your decision:
thank u to those who can answer! its okay if no solutions just the objective, hypothesis and conclusion
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Ho: the two methods produce the same longevity or have equal means
Ha: the two means are different
This is a 2-sample t-test
the difference in the means is 0. They are the same. So, without doing anything more, we can state that the value of the test statistic is 0, since the difference in the means is in the numerator, and the variance is positive.
You might check the problem again and see if the two means were really the same in a sample. That is unusual to have in a problem on t-tests.
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