Question

Two file servers are compared according to their response time for retrieving a small file. The mean response time of 50 such requests submitted to server 1 was measured to be 682ms with a known standard deviation of 25ms. A similar measurement in server 2 resulted in a sample mean of 676ms with a standard deviation of 28ms. Do these samples provide sufficient evident to conclude that server 1 provides better response than server 2. Perform this test at 0.05 level of significance.