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A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. To test this claim, 48 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 89.4 kilograms with a standard deviation of 7.17 kilograms, while type B thread had an average tensile strength of 81.3 kilograms with a standard deviation of 6.19 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. Let type A thread correspond to population 1 and let type B thread correspond to population 2. Identify the null and alternative hypotheses. Choose the correct answer below. O A. HO: H1 - H2 = 12 O B. HO: H1 - M2 12 H1: H1 - H2 > 12 H1 : H1 - H2 = 12 H1: H1 - H2 = 12 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. Round to two decimal places as needed.) O A. t' OB. t'> O c. t' <