this is all one assignment

Question 25 6 pts An industrial engineering team is setting up a work measurement project to examine how much time during the week a particular workstation is idle. Team members will check on the workstation at random times during the week and make note as to if the workstation is idle or not. The goal is to determine the estimated proportion of time the workstation is not processing any parts. Their goal is to find the proportion with a 90% confidence level and an error of +/-5%. Determine the sample size necessary for the project. Round your answer up to the nearest whole number. Edit View Insert Format Tools Table 12pt v Paragraph v B I U A > ON Tv : THE O words : Question 24 8 pts Compute the trend adjusted exponential smoothing forecast for period 3. Calculate your answer to 3 decimal places. Alpha = 0.25 Beta = 0.50 Period 1 2 3 Actual 54 52 55 Base 53 Trend 5 Forecast Edit View Insert Format Tools Table 12pt Paragraph v 10 TV : THE O words Question 23 8 pts A car wash with 5 automated bays has a service rate of 6 cars per hour. The service rate follows a negative exponential distribution. Cars arrive at a rate of 21 cars per hour. The arrival rate follows a Poisson distribution. What is the total system cost if each car in the system has a waiting cost of $30 per - hour and each automated bay costs $50 per hour to operate? Show your work either as equations or insert a table. Calculate your final answer to two decimal places. Edit View Insert Format Tools Table 12pt v Paragraph v A T : p O words Question 21 5 pts An automated teller machine (ATM) is installed for a bank in a strip mall. The ATM has a service time of 2 minutes per customer which follows an exponential distribution. Customers arrive at a rate of 21 customers per hour to use the ATM. The arrival rate follows a Poisson distribution. What is the average time in minutes that it takes for a customer to go through the line and use the ATM (go through the system)? Calculate your answer to 2 decimal places. Question 22 5 pts 1 2 3 Period Forecast Actual 10 9 14 Alpha = 0.25 Determine the forecast for period 4 using exponential smoothing. Calculate your answer to three decimal places. Question 23 Question 19 5 pts 1 2 3 5 6 7 Sample Defectives CO A 5 3 1 0 1 4 The table above contains the number of defective parts found in each sample of 20 parts. Compute the upper control limit for a p-chart using 3 standard - deviations. Calculate your answer to 3 decimal places. Question 20 5 pts 1 2 3 4 5 6 Period Actual 22 23 19 21 22 22 Determine the weighted moving average forecast for period 7 using the following weights: 0.4, 0.3, 0.2, and 0.1 Question 21 5 pts Question 17 5 pts An automated teller machine (ATM) is installed for a bank in a strip mall. The ATM has a service time of 2 minutes per customer which follows an exponential distribution. Customers arrive at a rate of 21 customers per hour to use the ATM. The arrival rate follows a Poisson distribution. What is the average length of the line? Calculate your answer to 2 decimal places. Question 18 5 pts Observation 1 2 3 4 5 6 7 Sample 1 13.8 18.7 13.4 20.9 17.1 19.8 14.7 16.1 2 16.0 14.9 16.8 19.8 14.7 14.8 3 13.0 14.7 14.2 20.2 12.3 19.9 19.5 20.6 12.9 4 16.3 18.4 15.3 14.1 17.4 5 16.5 13.1 18.4 12.5 15.2 15.9 17.2 6 16.8 15.1 16.5 12.1 16.3 19.6 19.1 The table above contains the data for 6 samples, each of which has 7 observations. Determine the upper control limit for the mean chart. Calculate your answer to 2 decimal places