The deflection temperature under load for two different tpesof plastic pipe is being investigated. Two random samples of15 pipe specimens are tested, and the deflection temperaturesobserved are as follows:Type I: 206, 188, 205, 187, 194, 193, 207, 185, 189, 213, 192,210, 194, 178, 205Type II: 177, 197, 206, 201, 180, 176, 185, 200, 197, 192,198, 188, 189, 203, 192a) Construct box plot and normal probability plots for the twosamples. Do these plots provide support of the assumption ofnormality and equal variances? Write a practicalinterpretation for these plots. b) Do the data support the claim that the deflectiontemperature under load for type I pipe exceeds that of type2? In reaching your conclusion, use α = 0.05. Calculate p-value. c) If the mean deflection temperature for type I pipe exceedsthat of type 2 by as much as 5 degrees F, it is important to detectthis difference with probability at least 0.90. Is thechoice of n1 = n2 = 15 adequate? useα = 0.05