1. Suppose that a refrigeration process at Coolfoods, Ltd. Has a normally distributed output with a mean of 25.0 and a variance of 1.44. (60 points)

(a) If the specifications are 25.0 3.25, compute C_p, C_pu, C_pl, and C_pk.Is the process capable and centered?

(b) Suppose the mean shifts to 23.0 but the variance remains unchanged. Recompute C_p, C_pu, C_pl, and C_pk. and interpret these process capability indexes.

(c) If the variance can be reduced to 0.576, how do the process capability indices C_p, C_pu, C_pl, and C_pk change (using the original mean of 25.0)?