The operations manager of a large plant with four departments wants to estimate the person-hours lost per month due to accidents. describe a sampling plan that would be suitable for estimating the plantwide loss and for comparing departments.
i dun know...
Random sample within each department?
To estimate the person-hours lost per month due to accidents and compare the departments, the operations manager can use a stratified sampling plan. Here's a step-by-step breakdown of the plan:
1. Define the population: Identify the entire workforce of the plant, including all departments. This will be the population for estimation.
2. Stratification: Divide the population into different strata based on departments. This will enable the manager to compare the departments.
3. Determine sample size: Decide on the desired sample size for the estimation. This could be based on factors such as budget, time constraints, or desired confidence level and margin of error.
4. Calculate stratum sample sizes: Calculate the proportionate sample sizes for each department based on their population sizes. This ensures that the sample represents each department proportionately.
5. Random sampling within strata: Use a random sampling technique, such as simple random sampling or systematic sampling, within each stratum to select individuals for the sample. This ensures every person in the population has an equal chance of being selected.
6. Collect accident data: Record the person-hours lost due to accidents for each selected individual in the sample on a monthly basis.
7. Calculate estimates: Multiply the proportionate sample sizes of each stratum by the person-hours lost in the sample for that stratum. Sum up the estimates from all strata to obtain an estimate of the plantwide person-hours lost per month due to accidents.
8. Compare departments: Calculate the person-hours lost in each selected department and compare them using the provided estimates.
9. Analyze and report: Analyze the collected data and prepare a report presenting the estimated person-hours lost per month for the entire plant and for each department. The report can include a comparison between departments and any significant findings.
By following this sampling plan, the operations manager will be able to estimate the person-hours lost per month due to accidents for the entire plant and make meaningful comparisons between departments.
To estimate the person-hours lost per month due to accidents in a large plant with four departments and to compare the losses among departments, you can employ a stratified sampling plan. Here's a step-by-step approach:
1. Define the population: Identify all employees in the plant across the four departments who are at risk of experiencing accidents. Make sure you have a comprehensive list of employees.
2. Stratify the population: Divide the population into mutually exclusive and exhaustive strata, in this case, the four departments. This ensures that each department is represented in the sample.
3. Determine the sample size: Consider the overall goal of the sampling plan, the desired level of precision, available resources, and other factors to determine an appropriate sample size. You may want to allocate the sample size proportionally among the departments to ensure representative estimates.
4. Randomly sample within each stratum: Use a simple random sampling method to select employees from each department. This ensures that each employee in the department has an equal chance of being selected. The sample size for each department could be determined based on proportional allocation or based on the variability of accident rates between departments.
5. Collect data: Track and record the person-hours lost due to accidents for each selected employee over the defined period (e.g., a month). Make sure the data is collected consistently and accurately.
6. Calculate estimates: Calculate the person-hours lost per month due to accidents for the sampled employees in each department. Multiply the results by the sample size and stratified factor to estimate the person-hours lost for the entire plant and within each department.
7. Compare departments: Compare the estimated person-hours lost per month across the departments to identify variations. You can use these estimates to assess departmental performance, prioritize safety efforts, and allocate resources accordingly.
By following this stratified sampling plan, you can efficiently estimate the person-hours lost per month due to accidents in the plant as a whole and make meaningful comparisons between departments, assisting the operations manager in making informed decisions.