answer all parts please

PZ) (20 pts) A simulation model is developed for the bottleneck analysis in an automotive spare parts manufacturing company. To validate the number of parts that are accumulating in a buffer zone at a production cell, historical data are used. By investigating the previous months* database records, it is estimated that the average number of parts in 2 years periods is found to be 65. Ten independent replications of the model are run with the following results for the average number of parts accumulating in the buffer zone: 54 61 T0 65 5? 42 61 69 58 63 a. {10 Pts.) Develop and conduct a statistical test to evaluate whether the model output is consistent with system behavior. Use the P-value for the evaluation. b. {5 P158.) Determine a 95% prediction interval for the average number of parts accumulating in the buffer zone. Write your cormnent on the prediction interval that you nd. c. {5 Pts.) Determine the smallest number of replication to satisfy an average number of parts accumulating in the buffer zone error of 2 parts. {a =.{}5) d. {5 Pts.) Determine a 99% condence interval for the average number of parts accumulating in the buffer zone