Guide to Using Minitab For Basic Statistical Applications To Accompany Business Statistics: A Decision Making Approach, 6th Ed. Chapter 3: Describing Data Using Numerical Measures By Groebner, Shannon, Fry, & Smith Prentice-Hall Publishing Company Copyright, 2005

Chapter 3 Minitab Examples  Population Mean Population Mean Foster City Hotel  Mean, Median,and Mode Mean, Median,and Mode Weigh-In-Motion  Percentiles and Quartiles Percentiles and Quartiles Weigh-In-Motion  Box and Whisker Plots Box and Whisker Plots Weigh-In Motion More Examples

Chapter 3 Minitab Examples (continued) ä Measures of Variation Measures of Variation Weigh-In-Motion ä Empirical Rule Empirical Rule Burger N’ Brew

Population Mean Foster City Hotel Issue: Determine the mean nightly revenue for the Foster City Hotel. Objective: Use Minitab to calculate the population mean revenue Data File is FosterCity.mtw

Open the Minitab file called FosterCity.mtw Population Mean – Foster City Hotel

Select Calc – Column Statistics Population Mean – Foster City Hotel

Click on Mean and define the Input Variable for analysis Population Mean – Foster City Hotel

Population Mean Population Mean – Foster City Hotel

Second method: Select Stat, then Basic Statistics then Display Descriptive Statistics Population Mean – Foster City Hotel

Select the variables to analyze Population Mean – Foster City Hotel

Population Means Note, other output is also provided Population Mean – Foster City Hotel

Mean, Median and Mode Weigh-In-Motion Issue: Does the WIM scale produce gross weights that are close to the POE weights? Objective: Use Minitab to develop histograms for the weights from each scale and to compute the mean, median, and mode for each scale. The data file is Trucks.mtw.

Open the data file called Trucks.mtw Data File contains 200 trucks. Mean, Median, and Mode – Weigh-In-Motion

Construct cutpoints column. Mean, Median, and Mode – Weigh-In-Motion

Select Graph – Histogram to form the histograms for the POE and WIM gross weights Mean, Median, and Mode – Weigh-In-Motion

Identify variables to be graphed and set Display to Bar Next, use Options to set class widths Mean, Median, and Mode – Weigh-In-Motion

For Type of Intervals select Cutpoint, in Definitioin of intervals, insert Cutpoint column. Mean, Median, and Mode – Weigh-In-Motion

Use Edit Attributes to Set Graph Colors, etc. Mean, Median, and Mode – Weigh-In-Motion

Use Annotate to Set Graph Titles, etc. Mean, Median, and Mode – Weigh-In-Motion

To modify X axis labeling, use Frame - Tic Mean, Median, and Mode – Weigh-In-Motion

POE Gross Weight Histogram Completed Mean, Median, and Mode – Weigh-In-Motion

Repeat the process for WIM gross weights. Then compute mean, median and modes for both variables Mean, Median, and Mode – Weigh-In-Motion

Select Stat – then select Basic Statistics and Display Descriptive Statistics Mean, Median, and Mode – Weigh-In-Motion

Select the variables to be analyzed Mean, Median, and Mode – Weigh-In-Motion

Mean and Median Minitab does not compute the mode Mean, Median, and Mode – Weigh-In-Motion

Percentiles and Quartiles Weigh-In-Motion Issue: Determine Percentiles and Quartiles for WIM and POE Gross Weights Objective: Use Minitab to calculate 10 th percentiles and 1 st and 3 rd quartiles for weigh-in-motion data. Data file is Trucks.mtw

Open the data file called Trucks.mtw Data File contains 200 trucks. Percentiles and Quartiles - Weigh-In-Motion

Select Stat – then Basic Statistics – then Display Descriptive Statistics Percentiles and Quartiles - Weigh-In-Motion

Define Variables for analysis Percentiles and Quartiles - Weigh-In-Motion

1 st and 3 rd quartiles for WIM and POE gross weights Percentiles and Quartiles - Weigh-In-Motion

To obtain percentiles, Select Stat – Reliability/Survival –Parametric Dist Analysis Right Cens… Percentiles and Quartiles - Weigh-In-Motion

Identify Variables for analysis – then click on Estimate Percentiles and Quartiles - Weigh-In-Motion

Enter desired percentiles Percentiles and Quartiles - Weigh-In-Motion

WIM Gross Weight 10 th Percentile 1 st and 3 rd quartiles WIM Gross Weight Percentiles and Quartiles - Weigh-In-Motion

POE Gross Weight 10 th Percentile 1 st and 3 rd quartiles POE Gross Weight Percentiles and Quartiles - Weigh-In-Motion

Box and Whisker Plots Weigh-In-Motion Issue: Analyze how WIM and POE gross weights compare. Objective: Use Minitab to develop a Box and Whisker Plot for comparing WIM and POE gross weights. Data file is Trucks.mtw

Open the data file called Trucks.mtw Data File contains 200 trucks. Box and Whisker Plots - Weigh-In-Motion

Click on Graph – then select Character Graphs – then select Boxplot Box and Whisker Plots - Weigh-In-Motion

Enter Variable for Analysis (WIM Gross Weight) Box and Whisker Plots - Weigh-In-Motion

Box and Whisker Plot – WIM Gross Weight Box and Whisker Plots - Weigh-In-Motion

Repeat process for Box and Whisker Plot – POE Gross Weight Box and Whisker Plots - Weigh-In-Motion

Measures of Variation Weigh-In-Motion Issue: Understand the Variation in POE and WIM gross Weights Objective: Use the Minitab to compute various measures of variation in WIM and POE Gross Weights Data file is Trucks.mtw

Open the data file called Trucks.xls Data File contains 200 trucks. Measures of Variation - Weigh-In-Motion

Click on Stat tab – then select Basic Statistics – then choose Display Descriptive Statistics Measures of Variation - Weigh-In-Motion

Define variables to be included in the analysis Measures of Variation - Weigh-In-Motion

Standard Deviation, Minimum and Maximum values Measures of Variation - Weigh-In-Motion

Empirical Rule Burger N’ Brew Issue: Analyze the Phoenix Burger Sales Distribution Objective: Use the Minitab to compute graphs and numerical measures necessary for using the empirical rule to analyze sales at Burger N’ Brew Data file is BurgerNBrew.mtw

Open the data file called BurgerNBrew.mtw Data File contains sales for 365 days. Empirical Rule – Burger N’ Brew

This tutorial will demonstrate a different way to develop a Histogram using class widths of 2. Select Graph - Histogram Empirical Rule – Burger N’ Brew

Identify variable for analysis – Then use Options to specify classes Empirical Rule – Burger N’ Brew

Use class widths of size 2 Empirical Rule – Burger N’ Brew

Use Annotate to specify titles etc. Empirical Rule – Burger N’ Brew

Finished Histogram – Bell Shaped Distribution Empirical Rule – Burger N’ Brew

To compute numerical measures – Click Stat – Basic Statistics – Display Descriptive Statistics Empirical Rule – Burger N’ Brew

Identify variable for analysis Empirical Rule – Burger N’ Brew

Mean and Standard Deviation Empirical Rule: 68% within (1) % within (2) % within (3)3.13) Empirical Rule – Burger N’ Brew