Use the following scenario for questions 2 - 3. A set of 15 motor pumps were tested under identical conditions until failure. The observed failure times in hours were: 21, 24. 34. 38, 4-4. 49. 54, 59, 65, 71. 77, 82, 83, 90. 95 Fit a Iognormal distribution to the data using the variable 2 to linearize as discussed in class. To gauge the goodness of fit. compute the correlation coefficient of the lognormal fit with respect to the data. Use the 2 values of the data to estimate time values te st from the fit to evaluate the correlation coefficient. 7' adatao'est : E [(10g(t) _ it\") (10g(t)est _ \"est )] What are the t parameters for the Iognormal distribution? 0 p = 5.621 0' = 0.423 O .u - 3.939 \"0.527 O p, : 3.981 0' = 0.514 a : 0.463 What is the correlation coefficient? C)r=090 Qr= 1.00 C)r=098 C)r=0]8