Suppose a pilot run of a simulation model estimated that the average waiting time for a customer during the day was 11.485 minutes based on an initial sample size of 15 replications with a 95% confidence interval half-width of 1.04 (h0) and h= 0.1. Using the half-width technique, estimate the sample size or the number of replications. Estimate the initial sample standard deviation?
Suppose a pilot run of a simulation model estimated that the average waiting time for a...
Suppose a simulation of 10 replications has an average number in queue of 15.5 with a 95% half-width 2.5. How many replications are needed if we want that estimate of the average to have a 95% confidence interval within 10% of the mean?
Please Solve "Try Yourself" questions! thanks! C.l. with Specified Precision Terminating Simulations] Example-The cross-replication summary outputs from M/G/1 simulation model based on 10 replications is as follows: Total Cost ($) Percent Rejected 11.12 1.30 0.93 9.43 13.55 Sample Mean Sample Standard Deviation 95% Confidence Interval Half Width Minimum Summary Output Value Maximum Summary Output Value 21,618.33 1,136.24 812.82 20,056.75 23,837.38 - What should be the sample size to get the half-width down to t 250 or less for total cost?...
Managers believe that the average time to process a package at the front of the counter of the Mercuric post office is about three minutes. They want to do a work sampling study to estimate this time more accurately. From a small pilot sample, the standard deviation is estimated to be 0.16 minutes. Management wants to find the sample size needed to achieve a maximum allowable sampling error of ±0.025 minutes with 95 percent confidence. Note: Answer in two decimal...
The mean and the standard deviation of the sample of 100 bank customer waiting times are x¯x¯ = 5.14 and s = 2.321. Calculate a t-based 95 percent confidence interval for µ, the mean of all possible bank customer waiting times using the new system. Are we 95 percent confident that µ is less than 6 minutes?. Assume normality. (Choose the nearest degree of freedom for the given sample size. Round your answers to 3 decimal places.) The t-based 95 percent confidence interval is [, ]. (Click to select)YesNo , interval is (Click to select)lessmore than...
Suppose it is desired to estimate the average time a customer spends in a particular store to within 5 minutes with 99% confidence. It is estimated that the range of the times a customer spends in the store is 90 minutes. How large a sample should be taken to get the desired interval? Right-click the link to use this Z table (The answer is NOT 135, or 134.37) (I believe the standard deviation is not 22.5) The answer is 60,...
A shop has recently introduced a new system, which aims to reduce clients’ waiting time below 6 minutes. After several months that the new system has been operating, the management wishes to study whether the new system is effective. A sample of 100 shop customer waiting times is collected. The average and the standard deviation of this sample are 5.5 minutes and 2.4 minutes respectively. Calculate a 95% confidence interval for ?, the mean of all possible shop clients waiting...
1) 2) A (1-a) confidence interval procedure ensures that if a large number of confidence intervals are computed, each based on n samples, then the proportion of the confidence intervals that contain the true value should be close to (1-a). True O False Suppose we are required to estimate the output from a simulation so that we are 95% confident that we are within plus or minus 1 of the true population mean. After taking a pilot sample of size...
Question 3 (20 marks) iven a sample of time-to-failure (X), in hours, of a particular brand of weaving machines: 100 250 720 465 910 2017 1600 1300 nypothesis that the failure time follows an exponential distribution with mean 1000 (hours). Conduct the Kolmogorov-Smirnov test, at 1% level of significance, for testing the [9 marks] the context of the validation process in simulation, write short notes on the "Input- [4 marks] output Transformation". (c) Consider a queueing system with interarrival rate...
4. The data below are waiting times (in minutes) for service at a local bank. Also included are son summary statistics produced by Excel. Waiting Time Waiting Time Statistics 2.7 3.6 Mean 3.82 1.5 Standard Error 0.61 4.9 Median 3.00 2.8 Mode 2.70 Standard Deviation 2.21 Sample Variance 4.89 Kurtosis 7.79 Skewness 2.55 Range 9.00 Minimum 1.50 Maximum Sum 49.60 Count 13.00 27 4.1 10.50 (Continued) Refer to the bank waiting times data on the previous page. b. Using the...
The Burger Dome waiting line model studies the waiting time of customers at its fast-food restaurant. Burger Dome's single-server waiting line system has an arrival rate of 0.75 customers per minute and a service rate of 1 customer per minute. Adapt the Black Sheep Scarves spreadsheet shown below to simulate the operation of this waiting line. Make sure to use the random values for both interarrival and service times generated in the worksheet_12-23. Assuming that customer arrivals follow a Poisson...