Question 7 The deection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 15 pipe specimens are tested, and the deection temperatures observed are as follows (in 0F): Type 1: 206, 188, 205, 187, 194, 193, 207, 185, 189, 213, 192, 210, 194, 178, 205 Type 2: 177,197,206,201,180,176,185,200,197,192,198,188,189,203,192 (a) Construct box plots for the two samples. Do these plots provide support of the assumptions of normality and equal variances? Write a practical interpretation for these plots. (bonus points for normal probability plots, 5 points) (b) Do the data support the claim that the deection temperature under load for type 1 pipe exceeds that type 2? In reaching your conclusions, use a : 0.05. Calculate a P-value. (c) If the mean deection temperature for type 1 pipe exceeds that of type 2 by as much as 5 OF, it is important to detect this difference with probability at least 0.90. Is the choice of n1:n2:15 adequate? Use a : 0.05