Association
Assignment 3: Association
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Part A
A research question around two factors that may have an association..
There are a number of product lines handled within the packing department in the company. Within the 10 product lines there are three that typically have the same quantity of work orders shipped at the end of each week. Three packing operators are assigned to pack these three product lines. Each product line has a holding location for the products to be shipped each week. Occasionally when the shipping manager walks through the area he notices that the level of the products in the holding areas can be imbalanced at different days of the week which he believes to be unusual. The objective he set himself was to see if the quantity of the individual product line work orders packed each day, and the day of the week are independent variables.
Hypothesis..
HO: Daily quantity of product lines packed is independent of the day in the week
H1: Daily quantity of product lines packed is not independent of the day in the week
Significance Level, α = 0.05
Contingency table..
For a typical week, the manager gathered specific information of the number of work orders packed each day for each line. These observations were tabulated and the results of each variable were calculated and added to the table; Product Line | Mon | Tue | Wed | Thu | Fri | Total | Zener | 43 | 37 | 49 | 57 | 61 | 247 | Diode | 46 | 48 | 39 | 45 | 42 | 220 | Rect | 62 | 59 | 51 | 38 | 41 | 251 | Total | 151 | 144 | 139 | 140 | 144 | 718 |
Table 1; Contingency Table
Expected Frequency..
The expected frequency table was then calculated. This table gives the expected frequency for each “cell” within the table that would occur if the two variables are completely independent of each other. For each cell, the expected frequency is calculated by;
eij=Row i total(Row j total)Sample Size
| Mon | Tue | Wed | Thu | Fri | Total
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Part A
A research question around two factors that may have an association..
There are a number of product lines handled within the packing department in the company. Within the 10 product lines there are three that typically have the same quantity of work orders shipped at the end of each week. Three packing operators are assigned to pack these three product lines. Each product line has a holding location for the products to be shipped each week. Occasionally when the shipping manager walks through the area he notices that the level of the products in the holding areas can be imbalanced at different days of the week which he believes to be unusual. The objective he set himself was to see if the quantity of the individual product line work orders packed each day, and the day of the week are independent variables.
Hypothesis..
HO: Daily quantity of product lines packed is independent of the day in the week
H1: Daily quantity of product lines packed is not independent of the day in the week
Significance Level, α = 0.05
Contingency table..
For a typical week, the manager gathered specific information of the number of work orders packed each day for each line. These observations were tabulated and the results of each variable were calculated and added to the table; Product Line | Mon | Tue | Wed | Thu | Fri | Total | Zener | 43 | 37 | 49 | 57 | 61 | 247 | Diode | 46 | 48 | 39 | 45 | 42 | 220 | Rect | 62 | 59 | 51 | 38 | 41 | 251 | Total | 151 | 144 | 139 | 140 | 144 | 718 |
Table 1; Contingency Table
Expected Frequency..
The expected frequency table was then calculated. This table gives the expected frequency for each “cell” within the table that would occur if the two variables are completely independent of each other. For each cell, the expected frequency is calculated by;
eij=Row i total(Row j total)Sample Size
| Mon | Tue | Wed | Thu | Fri | Total