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different types of machines. The corporation wants to evaluate the diameter dimensions of the shields produced by the machines. A corporation who randomly selects shields produced by each of the the inside diameter of each shield (in millimeters). She wants to de means and standard deviations of the three machines differ.

different types of machines. The corporation wants to evaluate the diameter dimensions of the shields produced by the machines. A corporation who randomly selects shields produced by each of the the inside diameter of each shield (in millimeters). She wants to de means and standard deviations of the three machines differ.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A small corporation in Illinois makes insulation shields for electrical wires using three different types of machines. The corporation wants to evaluate the variation in the inside diameter dimensions of the shields produced by the machines. A quality engineer at the corporation who randomly selects shields produced by each of the machines and records the inside diameter of each shield (in millimeters). She wants to determine whether the means and standard deviations of the three machines differ. Shield Machine A Machine B Machine C 1 27.0 34.2 99.3 2 3.0 39.8 36.2 3 4.2 15.8 47.8 4 5.1 29.8 58.7 10.4 61.1 82.3 6 6.5 31.1 0.8 7 6.5 18.3 11.0 8 1.1 3.6 9.0 9. 14.2 11.2 46.3 10 21.2 20.0 36.4 11 2.5 26.9 54.5 12 9.4 52.6 25.3 13 19.7 65.2 24.6 14 13.0 37.3 90.5 15 4.6 19.0 64.0 Table 1: Sampled data of the inside diameter of shields produced by machine A, B and C. (a) Show that the sum of residuals E1 eij Yij – Îij = Yij – Ii. = 0 for each factor i, where residual eij
Transcribed Image Text:A small corporation in Illinois makes insulation shields for electrical wires using three different types of machines. The corporation wants to evaluate the variation in the inside diameter dimensions of the shields produced by the machines. A quality engineer at the corporation who randomly selects shields produced by each of the machines and records the inside diameter of each shield (in millimeters). She wants to determine whether the means and standard deviations of the three machines differ. Shield Machine A Machine B Machine C 1 27.0 34.2 99.3 2 3.0 39.8 36.2 3 4.2 15.8 47.8 4 5.1 29.8 58.7 10.4 61.1 82.3 6 6.5 31.1 0.8 7 6.5 18.3 11.0 8 1.1 3.6 9.0 9. 14.2 11.2 46.3 10 21.2 20.0 36.4 11 2.5 26.9 54.5 12 9.4 52.6 25.3 13 19.7 65.2 24.6 14 13.0 37.3 90.5 15 4.6 19.0 64.0 Table 1: Sampled data of the inside diameter of shields produced by machine A, B and C. (a) Show that the sum of residuals E1 eij Yij – Îij = Yij – Ii. = 0 for each factor i, where residual eij
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