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Chapter 31: Problem 5

Continue the study of the process of working out at the gym for 30 minutes each day before work or classes from Exercise 31.2. If you kept good records, you could make a Pareto chart of the reasons (special causes) for your failures to make it to the gym and work out. Make a Pareto chart that you think roughly describes what you imagine would be your own reasons for these failures. That is, list the reasons from your experience and chart your estimates of the percentage of failures each reason explains.

Short Answer

Expert verified
Identify main causes of missing gym from experience, estimate their frequencies, and create a Pareto chart to visualize them.

Step by step solution

01

Determine Possible Reasons for Missing Gym

Think about different reasons why you might fail to go to the gym before work or classes. Common reasons might include oversleeping, not enough time, lack of motivation, or unexpected obligations. Write down each reason.
02

Estimate the Frequency of Each Reason

For each reason you identified in Step 1, try to estimate how often each one occurs. You might consider how many days in the past month, for example, you missed the gym due to each particular reason. Write these numbers down.
03

Calculate the Percentage of Each Reason

Convert the frequencies from Step 2 into percentages. To do this, divide the frequency of each reason by the total number of missed gym days and multiply by 100. This gives the percentage of missed days each reason is responsible for.
04

Order Reasons by Frequency

Arrange the reasons in descending order based on the percentages you calculated in Step 3. This will help to prioritize the most significant causes for missing the gym.
05

Construct the Pareto Chart

Using the ordered reasons and their percentages from Step 4, create a Pareto chart. A Pareto chart is a bar graph where the reasons are displayed on the x-axis, and the percentage of missed gym sessions they account for is on the y-axis. Arrange the bars in descending order of frequency from left to right.
06

Interpret the Pareto Chart

Analyze the chart to identify which reasons are the most significant contributors to not making it to the gym. The first few bars that contribute to about 80% of failures suggest the main issues to address.

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Key Concepts

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

Data Visualization
Data visualization is a powerful tool that allows us to understand complex data through visual representation. It helps in interpreting the data quickly and efficiently, making patterns and insights more recognizable. With a Pareto chart, for example, we can visualize the reasons for missing gym sessions easily.
This chart uses bars to show the contributing factors on the x-axis and their frequency or impact on the y-axis.
By ordering the bars in descending order of frequency, a Pareto chart highlights the most significant factors quickly. Such visualization is particularly useful in identifying priority areas for improvement, as it illustrates which factors contribute the most to a problem.
Statistical Analysis
Statistical analysis involves collecting and scrutinizing data to identify patterns and trends. In the context of missing gym sessions, this process starts with gathering data about why sessions are missed.
Next, we perform basic calculations to convert this data into insightful figures. This includes determining the frequency of each reason and converting those frequencies into percentages.
Statistical tools not only help understand the data but also allow us to make data-driven decisions. By ranking reasons according to their percentage impact, we focus on the most significant factors needing attention.
Gym Attendance Tracking
Gym attendance tracking involves recording the frequency and patterns related to gym visits. It's a useful way to hold yourself accountable and understand personal obstacles.
To start tracking, list all possible reasons for not attending. For instance, you might track reasons like oversleeping or schedule conflicts. Analyzing this data over time can help in strategizing to improve attendance.
By capturing this information regularly, you can visualize your progress and the effectiveness of any changes you make, fostering a commitment to health and fitness.
Failure Analysis
Failure analysis is the process of studying the reasons for not meeting certain goals or standards. It is about investigating what went wrong to prevent it from happening again.
In the context of gym attendance, failure analysis involves examining why workouts are missed. By creating a Pareto chart, you identify which obstacles are most significant.
This analysis helps prioritize which issues to tackle first, reflecting the "80/20" rule where approximately 80% of problems are caused by 20% of the causes. By focusing efforts on the major causes, you can more effectively improve your attendance rate.

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Most popular questions from this chapter

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 \(x\) chart, or (iii) a gradual drift up or down on the \(x\) 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.

Six Sigma is a methodology used in many companies. Search the Web to learn more about Six Sigma. Write a paragraph explaining what Six Sigma is and how it is related to material discussed in this chapter. List some companies that use Six Sigma. Lean manufacturing is often used in conjunction with Six Sigma. Search the Web to learn more about Lean manufacturing. Write a paragraph explaining what Lean manufacturing is and how it is related to material discussed in this chapter. You will often hear the phrase "Lean Six Sigma" used when a company implements both systems.

The inside diameter of automobile engine piston rings is important to the proper functioning of the engine. The manufacturer checks the control of the piston ring forging process by measuring a sample of five consecutive items during each hour's production. The target diameter for a ring is \(\mu=74.000 \mathrm{~mm}\). The process has been operating in control, with the center close to the target and \(\sigma=0.015 \mathrm{~mm}\). a. What center line and control limits should be drawn on the \(s\) chart? On the \(x\) chart? b. A different manufacturer creates the pistons in which the rings will be fitted. This manufacturer has a target value of \(73.945 \mathrm{~mm}\) for the piston diameter. The manufacturer checks control of the piston diameter four times each hour. Recently, the process has been running high with \(\mu=74.000 \mathrm{~mm}\) and \(\sigma=0.005 \mathrm{~mm}\). Do you see any issues that might arise for the manufacturer of the engine when the two parts from the different manufacturers are assembled?

A process produces rubber fan belts for automobiles. The process is in control, and 100 belts are inspected each day for a period of 10 days. The proportion of nonconforming belts found over this 10 -day period is \(p=0.08\). Based on these data, a \(p\) chart for future samples of size 100 would have center line a. \(0.08\). b. \(8.0\). C. \(0.92\).

John recently changed to a more healthy diet, and after switching his eating habits he began to chart the number of servings of fruits and vegetables consumed each day. The number of servings of fruits and vegetable he consumed varied each day but was generally stable. There were some days when the number of servings was unusual. Sometimes the number of servings was much higher than expected, and sometimes it was much lower than expected. Give several examples of special causes that might significantly increase or decrease the number of servings of fruits and vegetables John consumes on a given day.
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