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 .