24 Part50f6 2.85 points An article presents the results ofan experiment in which the surface roughness (in urn) was measured for 15 D2 steel specimens and compared with the roughness predicted by a neural network model. The results are presented in the following table. TRUE Value (x) Predicted Value (y) 0.45 0.4 0.82 0.7 0.54 0.52 0.41 0.39 0.77 0.74 0.79 0.78 0.25 0.27 0.62 0.6 0.91 0.87 0.52 0.51 1.02 0.91 0.6 0.71 0.58 0.5 0.87 0.91 1.06 1.04 To check the accuracy ofthe prediction method, the linear model y= o + B1x+ a is fit. If the prediction method is accurate, the value of [30 will be 0 and the value of B1 will be 1. Note: This problem has a reduced data set for ease of performing the calculations required. This differs from the data set given for this problem in the text. Compute a 95% condence interval for the mean prediction when the true roughness is 0.8 pm. Round the answers to three decimal places. The 95% condence interval is ( I, )