A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 13 kilograms. To test this claim, 50 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 82.5 kilograms with a standard deviation of 6.38 kilograms, while type B thread had an average tensile strength of 71.5 kilograms with a standard deviation of 6.34 kilograms. Test the manufacturer's claim using a 0.10 level of significance. Do not assume that the population variances are equal. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution.