A glass manufacturing company wanted to investigate the effect of zone 1 lower temperature​ (630 vs.​ 650) and zone 3 upper temperature​ (695 vs.​ 715) on the roller imprint of glass.  Zone 3 Upper    Zone 1 Lower    Roller Imprint 695    630    46 695    630    25 695    630    47 695    630    119 695    650    23 695    650    26 695    650    47 695    650    22 715    630    96 715    630    5 715    630    26 715    630    81 715    650    69 715    650    23 715    650    5 715    650    124 a. At the .05 level of​ significance, is there an interaction between zone 1 lower and zone 3​ upper? Determine the test statistic. Fstat= Determine the p-value. p-value= b. At the .05 level of​ significance, is there an effect due to zone 1​ lower? First, determine the hypotheses. Determine the test statistic. Fstat= Determine the p-value. p-value= c. At the .05 level of​ significance, is there an effect due to zone 3​ upper? First, determine the hypotheses. Determine the test statistic. Fstat= Determine the p-value. p-value= d. Plot the roller imprint for each level of zone 1 lower for each level of zone 3 upper. Plot the mean roller imprints for a zone 3 upper temperature of 695 with a dashed​ line, and the mean roller imprints for a zone 3 upper temperature of 715 with a solid line.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 34PPS
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A glass manufacturing company wanted to investigate the effect of zone 1 lower temperature​ (630 vs.​ 650) and zone 3 upper temperature​ (695 vs.​ 715) on the roller imprint of glass. 

Zone 3 Upper    Zone 1 Lower    Roller Imprint
695    630    46
695    630    25
695    630    47
695    630    119
695    650    23
695    650    26
695    650    47
695    650    22
715    630    96
715    630    5
715    630    26
715    630    81
715    650    69
715    650    23
715    650    5
715    650    124

a. At the .05 level of​ significance, is there an interaction between zone 1 lower and zone 3​ upper?

Determine the test statistic.

Fstat=

Determine the p-value.

p-value=

b. At the .05 level of​ significance, is there an effect due to zone 1​ lower? First, determine the hypotheses.

Determine the test statistic.

Fstat=

Determine the p-value.

p-value=

c. At the .05 level of​ significance, is there an effect due to zone 3​ upper? First, determine the hypotheses.

Determine the test statistic.

Fstat=

Determine the p-value.

p-value=

d. Plot the roller imprint for each level of zone 1 lower for each level of zone 3 upper.

Plot the mean roller imprints for a zone 3 upper temperature of 695 with a dashed​ line, and the mean roller imprints for a zone 3 upper temperature of 715 with a solid line.

 

12, 11.2.26-T

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