An account on server A is more expensive than an account on server B. However, server A is faster. To see if it’s optimal to go with the faster but more expensive server, a manager needs to know how...

An account on server A is more expensive than an account on server B. However, server A is faster. To see if it’s
optimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certain
computer algorithm is executed 30 times on server A and 20 times on server B with the following results:
T-Value = -3.12 P-Value = 0.002 DF = 48
Is server A really faster? How strong is the evidence? Formulate the suitable hypothesis and alternative and conclude at
5% level of significance.