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91Ó°ÊÓ

What type of control chart or charts would you use as part of efforts to improve each of the following performance measures in a college admissions office? Explain your choices. (a) Time to acknowledge receipt of an application (b) Percent of admission offers accepted (c) Student participation in a healthy meal plan

Short Answer

Expert verified
Use an X-bar chart for (a), a P-chart for (b), and a C-chart or P-chart for (c).

Step by step solution

01

Understanding Control Charts

Control charts are tools used to monitor processes and ensure they are within statistical control. They help in identifying process variations and are commonly used in quality assurance, improving performance measures, and reducing defects in processes.
02

Analyze Performance Measure (a)

For (a) Time to acknowledge receipt of an application, a **Time Series Control Chart** would be suitable. This is essentially an **X-bar chart** where the focus is on monitoring the average time taken to complete a task over a period. It helps check if the process time is stable and identifies any inconsistencies in the process.
03

Analyze Performance Measure (b)

For (b) Percent of admission offers accepted, a **P-chart** or Proportion Chart is ideal. This type of control chart is used for monitoring the proportion of successful outcomes relative to the total number of trials or opportunities, here referring to the percentage of students accepting the offers out of all offers made.
04

Analyze Performance Measure (c)

For (c) Student participation in a healthy meal plan, a **C-chart** or Count Data Control Chart should be used if we're tracking the number of students participating within a fixed time frame. If we are more interested in tracking the proportion of participating students, a **P-chart** could also be considered.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Time Series Control Chart
When we talk about monitoring how long it takes to acknowledge receipt of an application, the Time Series Control Chart comes to play. This powerful tool is often visualized as an X-bar chart. Its primary goal is to track and display the average time it takes to complete tasks over a specified period. By doing so, it helps identify any variations or inconsistencies in process times. This forms a critical part of time management and process improvement efforts.
The Time Series Control Chart is particularly beneficial when it's essential to maintain a consistent rate in performing tasks. If variations are spotted, it signals that the process might be veering away from the desired "control" limits. This prompts further analysis and corrective actions, making these charts a staple in operational efficiency and quality assurance.
Key benefits include:
  • Clear visualization of time trends
  • Quick identification of time-related anomalies
  • Assessment of previous interventions or changes
P-chart
The P-chart, also known as a Proportion Chart, is widely used to monitor the success rate of processes or activities. For instance, in college admissions, it is perfect for tracking the percentage of admission offers accepted by prospective students. The P-chart specializes in handling data concerned with proportions or percentages out of a whole.
It works by plotting the proportion of "successes" (accepted offers) based on the sample size considered, providing a clear illustration of acceptance rates over time. If these acceptance proportions fluctuate beyond the expected bounds, it signals a need for intervention.
Why use P-charts?
  • They offer a straightforward way to monitor success rates.
  • They help ensure that the acceptance rates stay consistent.
  • Quickly signal when the process might need a closer look.
C-chart
When counting specific occurrences, like measuring the number of students participating in a meal plan, using a C-chart is key. Unlike other control charts, the C-chart is tailored for tracking counts of events in a fixed space or time period. This suits scenarios where the main concern involves counting discrete occurrences rather than measuring proportions from varying sample sizes.
So, if you want to measure how many students participate in a healthy meal plan, the C-chart provides a reliable framework. It highlights trends and patterns, giving insight into whether participation levels remain within acceptable control limits.
Advantages of C-charts include:
  • Ideal for counting occurrences within stable environments.
  • They reveal fluctuations in activity levels.
  • Offer a snapshot view of trends across comparable periods.
Quality Assurance
At its core, quality assurance is about ensuring that services and processes meet predetermined standards and improve continually. Control charts, including Time Series, P-charts, and C-charts, act as fundamental tools in this endeavor. They provide the data-driven backbone necessary for assessing and maintaining the quality of processes over time.
Quality assurance in this context means consistently delivering superior levels of service that align with customer expectations. Control charts help detect trends, irregularities, and potential issues before they lead to larger problems.
The role of control charts in quality assurance:
  • Monitoring ongoing process performance.
  • Providing early warnings of process deviation.
  • Guiding data-driven continuous improvement strategies.
Armed with these insights, organizations can make informed decisions to rectify issues and elevate their quality standards, ultimately improving satisfaction among clients and stakeholders. The seamless integration of control charts in quality assurance processes is a testament to their effectiveness in fostering quality and performance improvement.

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Most popular questions from this chapter

If the mesh tension of individual monitors follows a Normal distribution, we can describe capability by giving the percent of monitors that meet specifications. The old specifications for mesh tension are \(100-400 \mathrm{mV}\). The new specifications are \(150-350 \mathrm{mV}\). Because the process is in control, we can estimate that tension has mean \(275 \mathrm{mV}\) and standard deviation \(38.4 \mathrm{mV}\). (a) What percent of monitors meet the old specifications? (b) What percent meet the new specifications?

Is each of the following examples of a special cause most likely to result first in (i) a sudden change in level on the \(s\) or \(R\) chart, (ii) a sudden change in level on the \(\mathrm{x}^{-} \bar{x}\) chart, or (iii) a gradual drift up or down on the \(\mathrm{x}^{-} \bar{x}\) chart? In each case, briefly explain your reasoning. (a) An airline pilots' union puts pressure on management during labor negotiations by asking its members to "work to rule" in doing the detailed checks required before a plane can leave the gate. (b) Measurements of part dimensions that were formerly made by hand are now made by a very accurate laser system. (The process producing the parts does not change-measurement methods can also affect control charts.) (c) Inadequate air conditioning on a hot day allows the temperature to rise during the afternoon in an office that prepares a company's invoices.

The unique colors of the cashmere sweaters your firm makes result from heating undyed yarn in a kettle with a dye liquor. The pH (acidity) of the liquor is critical for regulating dye uptake and hence the final color. There are five kettles, all of which receive dye liquor from a common source. Twice each day, the pH of the liquor in each kettle is measured, giving samples of size 5 . The process has been operating in control with \(\mu=5.21\) and \(\sigma=0.147\). (a) Give the center line and control limits for the \(s\) chart. (b) Give the center line and control limits for the \(\mathrm{x}^{-} \bar{x}\) chart.

What type of control chart or charts would you use as part of efforts to improve each of the following performance measures in an online business information systems department? Explain your choices. (a) Website availability (b) Time to respond to requests for help (c) Percent of website changes not properly documented

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each lot of tablets is measured to control the compression process. The process has been operating in control with mean at the target value \(\mu=12.3\) kilograms \((\mathrm{kg}\) ) and estimated standard deviation \(\sigma=0.2\) kg. Table \(31.2\) gives three sets of data, each representing \(\mathrm{x}^{-} \bar{x}\) for 20 successive samples of \(n=4\) tablets. One set remains in control at the target value. In a second set, the process mean \(\mu\) shifts suddenly to a new value. In a third, the process mean drifts gradually. (a) What are the center line and control limits for an \(\mathrm{x}^{-} \bar{x}\) chart for this process? (b) Draw a separate \(x^{-} \bar{x}\) chart for each of the three data sets. Mark any points that are beyond the control limits. (c) Based on your work in part (b) and the appearance of the control charts, which set of data comes from a process that is in control? In which case does the process mean shift suddenly, and at about which sample do you think that the mean changed? Finally, in which case does the mean drift gradually?

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