9.14. Is there significant difference in speed between the two servers in Example 9.21 on p. 263? (a) Use the confidence interval in Example 9.21 to conduct a two-sided test at the 5% level of significance. (b) Compute a P-value of the two-sided test in (a). (c) Is server A really faster? How strong is the evidence? Formulate the suitable hypothesis and alternative and compute the corresponding P-value. State your conclusions in (a), (b), and (c). Note: Data for 9.14 Example 9.21 (COMPARISON OF TWO SERVERS). An account on server A is more expen- sive 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, Server A 6.7 min Server B 7.5 min Sample mean Sample standard deviation 0.6 min 1.2 min