Minitab Exercises
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Question 1 of 34
1. Question
Data File: Box_Plot.MTQ
Situation:
A production engineer wants to investigate the capability of a process that manufactures
support beams. The engineer thinks that the process capability might differ between the
morning and evening shifts. The engineer measures the thickness of five samples out of 10 boxes from each shift. The thickness must be between 10.44mm and 10.96mm to meet customer requirements.Question:
Before conducting capability analysis or hypothesis testing, perform a simple box plot of the thickness between the two shifts. Which shift has the highest median thickness value?
CorrectIncorrect 
Question 2 of 34
2. Question
Data File: Attribute_Gage_R&R.MTW
Situation:
An engineer uses an attribute measurement system that compares parts against a set of acceptance criteria. If the parts are within limits, they will be accepted. If the parts are out of bounds, they will be rejected.
To determine if the measurement system is of any value, three operators are asked to evaluate 50 parts, three times each. If the measurement system is good, the operators will agree with their own measurements (repeatability), with each other (reproducibility), and with a reference value that is the standard. Use the “Attribute_Gage_R&R.MTW” data set to perform an attribute gage R&R and determine if this engineer has an effective measurement system.
Question:
Based on the results of your Attribute Gage R&R, how would you characterize this measurement system?
CorrectIncorrect 
Question 3 of 34
3. Question
1 Sample Proportion Exercise
Data File: N/A
A training company provides classroom and online instruction to hundreds of people per month. The company conducts a satisfaction survey at the end of each course. The training company believes there might be a change in its satisfaction rates. During the prior calendar year, the satisfaction rate was 94.2%. Over the past six months, the number of satisfied responses was 824 out of 892 surveys. Use the information provided to perform a 1sample proportion test to determine if there is a difference between the current satisfaction rate and that of the prior year.
Question:
Is there a difference between the current satisfaction rate and the prior year?
CorrectIncorrect 
Question 4 of 34
4. Question
Data File: 1Sample_Sign.MTW
Situation:
A packaging engineer wants to test a new method to seal snack bags. The target force that is expected to open the bags should be 4.2 N (Newtons). The engineer randomly samples 86 bags that are sealed using the new method and records the force that is required to open each bag.
Use the “1Sample_Sign.MTW” data file to determine if the new sealing method meets the target opening force.
Question:
Does the new sealing method meet the target opening force?
CorrectIncorrect 
Question 5 of 34
5. Question
Data File: 1SampleT.MTW
Situation:
An economist wants to determine whether the monthly energy cost for families has changed from the previous year when the mean cost per month was $200. The economist randomly samples 25 families and records their energy costs for the current year. Use the 1SampleT.MTW data file to determine if the mean of the 25 families’ energy cost is $200.
Question:
Has the mean energy cost for the 25 families changed from last year when it averaged $200?
CorrectIncorrect 
Question 6 of 34
6. Question
Data File: 1Sample_Wilcoxon.MTW
Situation:
A chemist for a pharmaceutical company wants to determine whether the median reaction time for a newly developed antacid is less than 12 minutes. The chemist measures the reaction time for 16 samples of the antacid.
Use the “1sample_Wilcoxon.MTW” data file to test whether the median reaction time is less than 12 minutes.
Question:
Is the median reaction time is less than 12 minutes?
CorrectIncorrect 
Question 7 of 34
7. Question
2Sample Proportion Test Exercise
Data File: N/A
A mortgage company performs reviews of its closing documents prior to the closing dates. This review may prompt changes or document additions that should have been in the closing package. Any closing package found with inaccuracies or known to be incomplete is deemed defective and requires rework prior to closing. In the prior calendar year, the defective rate for these reviews was 17.99% (783 defective packages out of 4,352 reviewed). During the current year, the yeartodate defective rate is 21.15% (180 of 870). Use the information provided to perform a 2sample proportion test to determine if there is a difference between the current satisfaction rate and that of the prior year.
Question:
Is there a difference between the current satisfaction rate and the prior years satisfaction rate?
CorrectIncorrect 
Question 8 of 34
8. Question
Data File: 2SampleT.MTW
Situation:
As a midlevel analyst at a healthcare conglomerate, you have been asked to determine if there is a difference in satisfaction ratings between two hospitals serving a particular geographical region. Your manager has emailed you 20 satisfaction data points from each hospital. After combining them in your data file “2SampleT.MTW,” perform a 2sample ttest to determine if there is a difference in satisfaction ratings.
Question:
Is there a difference in satisfaction ratings between the two Hospitals?
CorrectIncorrect 
Question 9 of 34
9. Question
Data File: ANOVA.MTW
Situation:
A safety analyst wants to compare how well drivers drive on three types of roads: paved, gravel, and dirt. To measure driving performance, the analyst records the time in seconds that each driver uses to make steering corrections on each type of road.
All other variables (vehicle type, speed, tires, tire air pressure, etc.) are held constant. Use the “ANOVA.MTW” data file to perform an ANOVA test to determine which road surface type yields the best and worst correction times.
Question:
Is there a statistical difference between the “road surface type” correction times?
CorrectIncorrect 
Question 10 of 34
10. Question
Data File: Capability.MTW
Situation:
A production engineer wants to investigate the capability of a process that manufactures support beams. The engineer measures the thickness of five samples out of 10 boxes from each shift. The thickness must be between 10.44 mm and 10.96 mm to meet customer requirements. Using the “Capability.MTW” data file, conduct a capability analysis on the thickness across both shifts.
Question:
Would you consider this process capable of meeting customer specifications?
CorrectIncorrect 
Question 11 of 34
11. Question
Data File: Confidence_Interval.MTW
Situation:
A quality control engineer is responsible for ensuring that the caps on shampoo bottles are fastened correctly. If the caps are fastened too loosely, they may fall off or the bottles may leak during shipping. If the caps are fastened too tightly, they may be too difficult to remove. The target torque value for fastening the caps is 18.
The engineer collects a random sample of 68 bottles and needs to first determine the 95% confidence interval of the mean torque required to remove the caps. Use the “Confidence_Interval.MTW” data set to determine the 95% confidence interval for mean torque.
Question:
What is the 95% confidence interval for Mean Torque?
CorrectIncorrect 
Question 12 of 34
12. Question
Correlation Analysis Exercise
Data File: Correlation.MTW
The stock broker reviewed the run charts pictured below of Company A and Company B, and based on the charts, now wants to quantify the strength of the linear relationship between the two companies. Use the “Correlation.MTW” data set to perform a correlation analysis between the two companies.
Question:
How would you characterize the relationship between the two companies’ stock prices?
CorrectIncorrect 
Question 13 of 34
13. Question
Exercise MultiVari
Data File: MultiVari.MTW
Situation:
ABC Company produces ten kinds of units with different weights. Operators measure the weights of the units before sending them out to customers. Multiple factors could have an impact on the weight measurements. The ABC Company wants to understand better the main source of variability in the weight measurement. The ABC Company randomly selects three operators (Joe, John, and Jack) each of whom measures the weights of 10 different units. For each unit, there are three items sampled. Use the MultiVari.MTW data file to perform a multivari analysis to determine or assess variation between operators and units.
Question:
Which characterization of your mutivari analysis is untrue or not verifiable with the current data?
CorrectIncorrect 
Question 14 of 34
14. Question
Data File: Friedman.MTW
Situation:
A marketing analyst wants to compare the relative effectiveness of three types of advertising: direct mail, newspaper, and magazine. The analyst performs a randomized block experiment. For 36 clients, the marketing firms used all three types of advertising over one year and recorded the year’s percentage response to each type of advertising.
Use the “Friedman.MTW” data file to determine if there is a difference in response rates between advertising methods.
Question:
Is there a difference in response rates between advertising methods?
CorrectIncorrect 
Question 15 of 34
15. Question
Data File: Graphical_Summary.MTW
Situation:
A production engineer wants to investigate the capability of the process that manufactures support beams. The engineer thinks that the process capability might differ between the morning and evening shifts. The engineer measures the thickness of five samples out of 10 boxes from each shift. The thickness must be between 10.44 mm and 10.96 mm to meet customer requirements.
Question:
Before conducting capability analysis or hypothesis testing, let’s look at the data using a graphical summary. What is the mean thickness as quantified by the graphical summary?
CorrectIncorrect 
Question 16 of 34
16. Question
Data File: Histogram.MTW
Situation:
A production engineer wants to investigate the capability of the process that manufactures support beams. The engineer thinks that the process capability might differ between the morning and evening shifts. The engineer measures the thickness of five samples out of 10 boxes from each shift. The thickness must be between 10.44 mm and 10.96 mm to meet customer requirements.
Question:
Before conducting capability analysis or hypothesis testing, perform a simple histogram of beam thickness. What is the mean thickness of the support beams based on the Histogram output?
CorrectIncorrect 
Question 17 of 34
17. Question
IMR Chart Exercise
Data File: SPC.MTW
A small and fairly new pharmaceutical company has an overthecounter liquid drug product that is packaged in bottles intended to contain 5 oz of medication. As the quality control engineer, you are tasked with monitoring the fill quantities using statistical process control. Doing so enables the company to make production and process adjustments if fill quantities go out of control. Use the “SPC.MTW” data file to run an IMR chart on the 100 oz samples found in column C1 and determine if any process changes are necessary.
Question:
Based on your IMR chart result, is there any need for a process change?
CorrectIncorrect 
Question 18 of 34
18. Question
Data File: KruskalWallis.MTW
Situation:
A health administrator wants to compare the number of unoccupied beds for three hospitals in the same region. The administrator randomly selects 30 different days from the records of each hospital and enters the number of unoccupied beds for each day into the file “KruskalWallis.MTW.”
The administrator then asks you to determine if there is a difference in the number of unoccupied beds between the three hospitals.
Question:
Is there a statistical difference between the number of unoccupied beds between the three hospitals?
CorrectIncorrect 
Question 19 of 34
19. Question
Data File: Moods_Median.MTW
Situation:
An environmental scientist wants to determine whether the temperature changes in the ocean near a nuclear power plant affect the growth of fish. The scientist randomly divides 25 fish into four groups and places each group into a separate, simulated ocean environment.
The simulated environments are identical except for temperature. Six months later, the scientist measures the weight of the fish. Use the “Moods_Median.MTW” data file to determine if water temperature influences the weight of fish.
Question:
Is there a statistically significant difference in the growth rates of fish based on water temperatures?
CorrectIncorrect 
Question 20 of 34
20. Question
Data File: MannWhitney.MTW
Situation:
A state highway department uses two brands of paint for painting stripes on roads. A highway official wants to know whether there’s a difference in the durability of the two brands of paint. For each paint type, the official researches and records the number of months the paint persists on the highway.
Use the data in the “MannWhitney.MTW” data file to perform a test to determine whether the median number of months the paint persists differs between the two brands.
Question:
Is there a statistical difference between the number of months that paint from two different brands persists on the road?
CorrectIncorrect 
Question 21 of 34
21. Question
Multiple Linear Regression Exercise
Data File: Regression.MTW
The stockbroker now wants to include additional predictor variables to determine the driving factors for the stock price increase of Company A. Perform a multiple linear regression analysis between Company A and the 10 Yr. T, GDP, and Unemployment (columns C1, C3, C4, and C5). Use the Minitab data file “Regression.MTW.”
Question:
Which regression equation best represents the relationship of Company A’s stock and the predictor variables 10 Yr. T, GDP and Unemployment?
CorrectIncorrect 
Question 22 of 34
22. Question
Data File: Normality.MTW
Situation:
An economist wants to determine whether the monthly energy cost for families has changed from the previous year when the mean cost per month was $200. The economist randomly samples 25 families and records their energy costs for the current year. Before conducting any statistical comparison tests, the economist should first determine if the data are normal. Use the “Normality.MTW” data file to determine if the data are normally distributed.
Question:
Is the monthly energy cost data normally distributed?
CorrectIncorrect 
Question 23 of 34
23. Question
Data File: P.MTW
Situation:
A mortgage company performs daily reviews of its closing documents prior to each closing date. This review may prompt changes or document additions that should have been in the closing package. Any closing package found with inaccuracies or known to be incomplete fails the quality control check and requires rework prior to closing. The company is working to minimize closing document errors and has begun tracking their daily performance. Use the “P.MTW” file to run a P chart on the daily closing document failure rate.
Question:
Based on your P chart output, is the process in control?
CorrectIncorrect 
Question 24 of 34
24. Question
Data File: Pairedt.MTW
Situation:
As a physiologist, you want to determine whether a running program influences resting heart rates. The heart rates of 15 randomly selected people were measured. The people were then put on the running program and measured again one year later. Thus, the “Before” and “After” measurements for each person are a pair of observations with obvious dependencies. Use the “Pairedt.MTW” data file to perform a paired ttest to determine whether the heart rates differ before and after the running program.
Question:
Do the heart rates after the running program differ from before the running program?
CorrectIncorrect 
Question 25 of 34
25. Question
Pareto Chart Exercise
Data File: Pareto.MTW
An inspector for a clothing manufacturer investigates the sources of clothing defects to prioritize improvement projects. The inspector tracks the number and type of defects in the process. Run a Pareto chart on the count of defects to determine the priority based on defects and then run another Pareto chart on the “Count*Cost” of defects.
Question:
Based on your findings, what defect type would you recommend be the highest priority?
CorrectIncorrect 
Question 26 of 34
26. Question
Data File: N/A
Situation:
As the manager of the label production process of a sign company, you want to understand the full view of your process and determine the probability of producing defectfree labels. The process is made up of three process steps, and you are evaluating the defect rate of the production of 1,000 labels…
 Process Step 1: Printing. 1000 labels go through the printing process, and it is determined that 950 of the printed labels are acceptable.
 Process Step 2: Lamination. After printing, 950 good labels reach the laminating process, and 800 of the laminated labels are accepted by the quality reviewer.
 Process Step 3: Trim. Now, after printing and laminating, there are 800 labels that will go through the trimming process, and 700 of these trimmed labels are determined to be acceptable.
Question:
 Determine the yield of each process step, then,
 Calculate the rolled throughput yield of the entire process.
CorrectIncorrect 
Question 27 of 34
27. Question
Data File: Run_Chart.MTW
Situation:
A stockbroker is reviewing the stock prices of two companies over the past 24 months and wants to create a visual chart that shows each stock performance over time. Use the “Run_Chart.MTW” data set to perform a run chart for each company stock price.
Question:
How would you characterize the Run Chart for Company A and the Run Chart for Company B?
CorrectIncorrect 
Question 28 of 34
28. Question
Data File: N/A
Situation:
The manager of a lumber yard wants to assess the performance of a sawmill that cuts beams that are supposed to be 100 cm long with a tolerance of ±0.5 cm. The manager has some historical data that indicate a mean of 99.5 cm with a standard deviation of 0.9 cm. Using this information, determine the sample size necessary for the manager to perform a 1sample ttest to determine if the beams are being cut at a length of 100 cm.
The manager wants to have a 90% chance of detecting the difference between the population mean and the target value of 100 cm.
Question:
What should the minimum sample size be?
CorrectIncorrect 
Question 29 of 34
29. Question
Data File: Scatterplot.MTW
A medical researcher studies obesity in adolescent girls. Because body fat percentage is difficult and expensive to measure directly, the researcher wants to determine whether the body mass index (BMI), which is a measurement that is easy to take, will be a good predictor of body fat percentage.
The researcher collects BMI, body fat percentage, and other personal variables of 92 adolescent girls. Use the “Scatterplot.MTW” data file to run a scatterplot on BMI vs. %Fat.
Question:
Does there appear to be a linear relationship between BMI and %Fat?
CorrectIncorrect 
Question 30 of 34
30. Question
Simple Linear Regression Exercise
Data File: Regression.MTW
The stockbroker now wants to determine if the driving factor for the stock price increase of Company A is due to the recent improvements in the 10 Yr. Treasury Note. Perform a simple linear regression between Company A and the 10 Yr. T (columns C1 and C3). Use the Minitab data file Regression.MTW.
Question:
Is the 10 Yr. T a reliable significant factor for Company A’s stock price?
CorrectIncorrect 
Question 31 of 34
31. Question
Data File: Equal_Variances.MTW
Situation:
A nutrition consulting company created an education program to increase the calcium intake in children ages 9 to 13. To measure the effectiveness of the program, an analyst performs an experiment in which 198 children are assigned randomly to either the control group (no education program) or the treatment group (with education program). The average daily dietary calcium intake is calculated from threeday diet records.
Before the analyst can perform hypothesis tests, she needs to know if the variances of the two groups are equal or not so that she can determine what type of hypothesis test to use (parametric or nonparametric). Use the “Equal_Variances.MTW” data file to perform a test of equal variances and determine if the two groups have equal variances.
Question:
Do the two groups have different variances?
CorrectIncorrect 
Question 32 of 34
32. Question
Variable Gage R&R Exercise
Data File: Variable MSA.MTW
An engineer selects 10 parts that represent the expected range of the process variation. Three operators measure the 10 parts, three times per part, in random order. Use the “Variable MSA.MTW” data file to perform a variable gage R&R to determine if the measurement system is of any value.
Question:
Based on your Variable Gage R&R results, how would you characterize this measurement system?
CorrectIncorrect 
Question 33 of 34
33. Question
XbarR Chart Exercise
Data File: SPC.MTW
A small and fairly new pharmaceutical company has an overthecounter liquid drug product that has five production lines packaging bottles intended to contain 5 oz of medication. As the quality control engineer, you are tasked with monitoring the fill quantities across production lines using statistical process control. In doing so, you will be able to alert the company to make production or process adjustments if fill quantities go out of control. Use the “SPC.MTW” data file to run an XbarR chart on the 100 oz samples, with the subgroups being the production lines. Determine if any process changes are necessary.
Question:
Based on your XbarR chart output, is the process in control?
CorrectIncorrect 
Question 34 of 34
34. Question
XbarS Chart Exercise
Data File: XbarS.MTW
A small and fairly new pharmaceutical company has an overthecounter liquid drug product that has two shifts of production packaging bottles intended to contain 5 oz of medication. As the quality control engineer, you are tasked with monitoring the fill quantities within and between shifts using statistical process control. You have collected 25 samples per shift over the course of eight business days. Use the “XbarS.MTW” data file to run an XbarS chart on the 400 oz samples, with the subgroups being production shift. Determine if any outofcontrol conditions exist.
Question:
Based on your XbarS chart output, is the process in control?
CorrectIncorrect