PLEASE STATE WHICH PART IS THE ANWSERS FOR PART A AND B THEN THE TABLE THAT IT ASKS FOR IN THE BEGINING

2. A set of 40 high-efficiency pumps is tested. All of the pumps fail ( F=40) after 400 pump hours of operation ( T=400 ). It is believed that the time to failure of the pumps follows an exponential distribution. Using the following table and the Chi-Square Goodness-of-Fit method, determine if the exponential distribution is a good choice. Prepare a table with columns from left to right of the following: Time Interval (hrs), LU (where L= lower and U = upper value in each Time Interval); \# Observed Failures, Oi; \# Expected Failures, Ei; (OiEi) (OiEi)2/Ei Use the following exponential expression to calculate the expected number of failures in each cell, Ei, where: Ei=n[e^Lie^vi] a) From the chi-squared table (RERA(Modarres), Table A.3), choose Significance =0.05, (1- = 0.95 ) confidence parameter, and find the critical value of 2 with 4 degrees of freedom (df) to compare with the Chi-Square statistic W. b) Select the null hypothesis that the pump failure behavior can be represented at an acceptable level by the exponential distribution (behavior is exponentially distributed) if 2(0.05,4) 2 (critical). From your analysis, state whether the exponential distribution is a satisfactory model for these failure data. 2. A set of 40 high-efficiency pumps is tested. All of the pumps fail ( F=40) after 400 pump hours of operation ( T=400 ). It is believed that the time to failure of the pumps follows an exponential distribution. Using the following table and the Chi-Square Goodness-of-Fit method, determine if the exponential distribution is a good choice. Prepare a table with columns from left to right of the following: Time Interval (hrs), LU (where L= lower and U = upper value in each Time Interval); \# Observed Failures, Oi; \# Expected Failures, Ei; (OiEi) (OiEi)2/Ei Use the following exponential expression to calculate the expected number of failures in each cell, Ei, where: Ei=n[e^Lie^vi] a) From the chi-squared table (RERA(Modarres), Table A.3), choose Significance =0.05, (1- = 0.95 ) confidence parameter, and find the critical value of 2 with 4 degrees of freedom (df) to compare with the Chi-Square statistic W. b) Select the null hypothesis that the pump failure behavior can be represented at an acceptable level by the exponential distribution (behavior is exponentially distributed) if 2(0.05,4) 2 (critical). From your analysis, state whether the exponential distribution is a satisfactory model for these failure data