COURSE PROJECT

Introduction

The student will be provided with a project scenario via an Excel spreadsheet that will require the use of several analytical tools to arrange, display and analyze data.

Directions

Project

You are the Quality Manager for Widgets, Inc. You have just won a contract to produce a specialized widget that the customer requires a very tight specification limit$.$ This widget is to be $5\mathrm{.}50$ in length, plus or minus $\mathrm{.}50.$ This gives the total specification limit of $5\mathrm{.}00$ to $6\mathrm{.}00.$

You have set up the production line to produce a test run of the widgets $($Data Set $1).$ The sample size consists of a total of $20$ samples per run, with a total of four $(4)$ runs. A total of $80$ samples will be used to determine if the process is capable of producing the widgets within specification.

Due to the specifications of the customer, and the setup of the manufacturing processes, the systematic random sampling technique was used to ensure that samples from each run were collected at the same point in time on different days. This provides the basis for the X$-$bar chart to group the sample from each run into logical subgroups.

Requirements:

$1.$ Calculate the subgroup mean for each numbered sample

$2.$ Calculate the grand mean and standard deviation of the subgroup samples

$3.$ Calculate the UCL and LCL of the grouped samples

$4.$ Create the X$-$bar chart

$5.$ Provide detailed analysis of the X$-$bar chart

To ensure that the process in actually producing individual widgets within specification limits$,$ you have decided to use an Individual Measurement chart that will plot each of the $80$ samples against a calculated UCL and LCL$,$ as well as plotting the data against the customer specification limits$.$

Requirements:

$1.$ Stack the sample data $($place the run data into a single column. Run $1$ first, Run $2$ second, etc$)$

$2.$ Using the Data Analysis Toolpak, create the Descriptive Statistics for the stacked data

$3.$ Using the Descriptive Statistics output, calculate the UCL and LCL

$4.$ Create the IM chart using the calculated UCL and LCL

$5.$ Recopy the stacked data, and enter the customer specification limits

$6.$ Create the IM chart of the sample data against the customer specifications

$7.$ Provide a detailed analysis of both IM charts

Answer the questions on the $$Questions DS $1$ tab on the spreadsheet, and follow the instructions.

Repeat the steps for Data Set $2.$

$$

Rubric $200$ points possible

The project will be graded with the following criteria:

$1.$ Data properly displayed

a$.10$ pts each Data Set; $20$ Total

$2.$ Descriptive Statistics output displayed $($Data Sets $1$ & $2)$

a$.10$ pts each Data Set; $20$ Total

$3.$ X$-$bar charts correctly created and displayed $($Data Sets $1$ & $2)$

a$.10$ pts each Data Set; $20$ Total

$4.$ X$-$bar charts data correctly calculated $($Avg$,$ Grand Mean, UCL, LCL$)($Data Sets $1$ & $2)$

a$.10$ pts each Data Set; $20$ Total

$5.$ X$-$bar chart detailed analysis and worded to ensure understanding $($Data Sets $1$ & $2)$

a$.10$ pts each Data Set; $20$ Total

$6.$ Questions for Data Set $1$ answered correctly

a$.20$ pts

$7.$ IM charts correctly created and displayed $($Data Sets $1$ & $2)$

a$.10$ pts each Data Set; $20$ Total

$8.$ IM charts data correctly calculated $($Avg$,$ UCL, LCL; Specification Mean, USL, LSL$)($Data Sets $1$ & $2)$

a$.10$ pts each Data Set; $20$ Total

$9.$ IM chart analysis of both charts detailed and worded to ensure understanding $($Data Sets $1$ & $2)$

a$.10$ pts each Data Set; $20$ Total

$10.$ Questions for Data Set $2$ answered correctly

a$.20$ pts