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Some automobile engineers are trying to decide whether to purchase brand A or brand B tires for the company's new modes. To help them arrive at a decision, an experiment is conducted using 12 of each brand.
The tires run until they were out. The result are as follows:
Brand A: mean= 37900 kilometres
Standard deviation =5100 kilometres
Brand B: mean=39800 kilometres
standard deviation=5900 kilometres
Test the hypothesis that there is a difference in the average wear of the two brands of tires at 10% level of significance . Assume the populations to be approximately normally distributed with equal variances.
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