a- What operator produces the thread with the biggest strength? b- analyze with
ID: 3132260 • Letter: A
Question
a- What operator produces the thread with the biggest strength?
b- analyze with Tukey) [Partial Answer: 0.026] from the Excel file. For all analysis of residuals you have to provide the "4 in 1 chart" as well as a P-Value for each assumption.
A company is working three shifts to meet the demand of thread for car seats. The operations manager Operator Strength suspects that the car seat thread strengths (in kilograms) from the shifts are different. In order to test for Michelle 11.3 a difference between shifts 25 car seat thread samples are randomly taken from the respective operators, Michelle 10.62 Kevin, Michelle, and Rob. All 75 thread samples come from one batch of product. Michelle 10.36a- What operator produces the thread with the biggest strength?
b- analyze with Tukey) [Partial Answer: 0.026] from the Excel file. For all analysis of residuals you have to provide the "4 in 1 chart" as well as a P-Value for each assumption.
Michelle 10.23 Michelle 10.42 Michelle 12.64 Michelle 8.75 Michelle 10.49 Michelle 10.33 Michelle 10.04 Michelle 10.12 Michelle 9.89 Michelle 10.31 Michelle 10.46 Michelle 9.69 Michelle 9.29 Michelle 10.79 Michelle 10.15 Michelle 8.83 Michelle 8.47 Michelle 9.55 Michelle 11.03 Michelle 9.74 Michelle 11.21 Michelle 11.04 Kevin 9.98 Kevin 8.68 Kevin 11.39 Kevin 9.16 Kevin 9.64 Kevin 8.49 Kevin 9.69 Kevin 11.14 Kevin 9.02 Kevin 9.47 Kevin 10.78 Kevin 9.78 Kevin 10.1 Kevin 10.27 Kevin 10.01 Kevin 9.01 Kevin 9.78 Kevin 9.99 Kevin 9.27 Kevin 10.41 Kevin 9.42 Kevin 9.27 Kevin 8.15 Kevin 9.69 Kevin 10.63 Rob 10.58 Rob 9.46 Rob 10.15 Rob 10.39 Rob 9.71 Rob 9.48 Rob 10.74 Rob 10.16 Rob 11 Rob 12.54 Rob 9.88 Rob 10.1 Rob 8.85 Rob 12.52 Rob 10.74 Rob 9.19 Rob 10.08 Rob 10.51 Rob 11.42 Rob 12.12 Rob 10.16 Rob 12.06 Rob 9.49 Rob 11.05 Rob 8.53Explanation / Answer
One-way ANOVA: Strength versus Operator
Source DF SS MS F P
Operator 2 6.621 3.310 3.85 0.026
Error 72 61.895 0.860
Total 74 68.516
S = 0.9272 R-Sq = 9.66% R-Sq(adj) = 7.15%
Conclusion: The calculated p-value is 0.026 and less than 0.05 level of significance. Hence, we can conclude that there is a significant different in the car seat thread strengths among the shift Kevin, Michelle, and Rob operators.
Grouping Information Using Tukey Method
Operator N Mean Grouping
Rob 25 10.4364 A
Michelle 25 10.2300 A B
Kevin 25 9.7288 B
Tukey 95% Simultaneous Confidence Intervals
All Pairwise Comparisons among Levels of Operator
Individual confidence level = 98.05%
Operator = Kevin subtracted from:
Operator Lower Center Upper ----+---------+---------+---------+-----
Michelle -0.1256 0.5012 1.1280 (---------*----------)
Rob 0.0808 0.7076 1.3344 (----------*---------)
----+---------+---------+---------+-----
-0.60 0.00 0.60 1.20
Comment: a) The confidence interval of operator Michelle and Kelvin include the zero in the confidence interval. Hence, there is no significant different between these two operators in the car seat thread strengths.
b) The confidence interval of operator Rob and Kelvin does not include the zero in the confidence interval. Hence, there is a significant different between these two operators in the car seat thread strengths.
Operator = Michelle subtracted from:
Operator Lower Center Upper ----+---------+---------+---------+-----
Rob -0.4204 0.2064 0.8332 (---------*----------)
----+---------+---------+---------+-----
-0.60 0.00 0.60 1.20
c) The confidence interval of operator Rob and Michelle include the zero in the confidence interval. Hence, there is no significant different between these two operators in the car seat thread strengths.
From the comments a), b) and c), the Rob operator produced the most strengths car seat thread.
“ Four in one chart”
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