2. It has been hypothesized that treatments of plastic used in optic lenses will improve wear. Four different treatments are to be tested. To determine whether any differences in mean wear exist among treatments, 28 castings from a single formulation of the plastic were made and 7 castings were randomly assigned to each of the treatments. Wear was determined by measuring the increase in "haze" after 200 cycles of abrasion (better wear being indicated by smaller increases). The data collected are reported in the accompanying table. Treatment BcD A 9.16 11.95 11.47 11.35 13.29 15.15 9.54 8.73 12.07 14.75 11.26 10.00 11.97 14.79 13.66 9.75
2. It has been hypothesized that treatments of plastic used in optic lenses will improve wear. Four different treatments are to be tested. To determine whether any differences in mean wear exist among treatments, 28 castings from a single formulation of the plastic were made and 7 castings were randomly assigned to each of the treatments. Wear was determined by measuring the increase in "haze" after 200 cycles of abrasion (better wear being indicated by smaller increases). The data collected are reported in the accompanying table. Treatment BcD A 9.16 11.95 11.47 11.35 13.29 15.15 9.54 8.73 12.07 14.75 11.26 10.00 11.97 14.79 13.66 9.75
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
Related questions
Question
![2.
It has been hypothesized that treatments of plastic used in optic lenses will improve wear. Four
different treatments are to be tested. To determine whether any differences in mean wear exist
among treatments, 28 castings from a single formulation of the plastic were made and 7 castings
were randomly assigned to each of the treatments. Wear was determined by measuring the
increase in "haze" after 200 cycles of abrasion (better wear being indicated by smaller increases).
The data collected are reported in the accompanying table.
Treatment
BcD
A
9.16
11.95
11.47
11.35
13.29
15.15
9.54
8.73
12.07
14.75
11.26
10.00
11.97
14.79
13.66
9.75
13.31
15.48
11.18
11.71
12.32
13.47
15.03
12.45
11.78
13.06
14.86
12.38
83.90
98.65
87.00
76.37
11.986 14.093
12.429
10.910
Is there evidence of a difference in mean wear among the four treatments? Use a= 0.05
[HINT: Total SS = 97.0319 and SST = 36.7497]
2.1
Estimate the mean difference in “haze" increase between treatments B and D, using a 99%
confidence interval. Interpret your finding
2.2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9decaac-d845-4b51-b943-714ca4810fbe%2Fb8fda3d8-f39f-4cc5-a6c8-d9fb9e16b1f5%2Foejcu93_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.
It has been hypothesized that treatments of plastic used in optic lenses will improve wear. Four
different treatments are to be tested. To determine whether any differences in mean wear exist
among treatments, 28 castings from a single formulation of the plastic were made and 7 castings
were randomly assigned to each of the treatments. Wear was determined by measuring the
increase in "haze" after 200 cycles of abrasion (better wear being indicated by smaller increases).
The data collected are reported in the accompanying table.
Treatment
BcD
A
9.16
11.95
11.47
11.35
13.29
15.15
9.54
8.73
12.07
14.75
11.26
10.00
11.97
14.79
13.66
9.75
13.31
15.48
11.18
11.71
12.32
13.47
15.03
12.45
11.78
13.06
14.86
12.38
83.90
98.65
87.00
76.37
11.986 14.093
12.429
10.910
Is there evidence of a difference in mean wear among the four treatments? Use a= 0.05
[HINT: Total SS = 97.0319 and SST = 36.7497]
2.1
Estimate the mean difference in “haze" increase between treatments B and D, using a 99%
confidence interval. Interpret your finding
2.2
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