Please show work by hand

Let My denote true average tread life for a premium brand of P205/65R15 radial tire, and let /2 denote the true average tread life for an economy brand of the same size. Test Ho: (1 - M2 = 5,000 versus Ha: (1 - M2 5,000 at level 0.01, using the following data: m = 30, x = 42,600, s, = 2,500, n = 30, y = 36,800, and $2 = 1,800. You can use the Distribution Calculators page in SALT) to find critical values and/or p-values to answer parts of this question. Calculate the test statistic. (Round your answer to two decimal places.) z = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. The data does not suggest that the difference in average tread life exceeds 5,000. O Fail to reject Ho. The data does not suggest that the difference in average tread life exceeds 5,000. O Reject Ho. The data suggests that the difference in average tread life exceeds 5,000. O Fail to reject Ho. The data suggests that the difference in average tread life exceeds 5,000