An investigation was carried out to test the string tension limit of badminton rackets measured in pounds (Ibs) based on three different types of polymer. The results were given in the following table: Polymer type Tension limit 10 15 12 2 23 17 20 21 30 3 8 6 16 7 5 Assume that all assumptions to perform an ANOVA test are satisfied. (a) Test the hypothesis that the three polymer types have the same tension limit at a = 0.01.

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An investigation was carried out to test the string tension limit of badminton rackets
measured in pounds (Ibs) based on three different types of polymer. The results
were given in the following table:
Polymer type
Tension limit
1
8
10
15
9
12
23
17
20
21
30
3
6
16
7
5
Assume that all assumptions to perform an ANOVA test are satisfied.
(a)
Test the hypothesis that the three polymer types have the same tension limit
at a = 0.01.
(b)
If you were the design engineer and you wished to maximize the tension
limit, determine the polymer type that you would select?
(c)
By using the Fisher's LSD method, determine the significant differences in
the polymer types at a = 0.01.
Transcribed Image Text:An investigation was carried out to test the string tension limit of badminton rackets measured in pounds (Ibs) based on three different types of polymer. The results were given in the following table: Polymer type Tension limit 1 8 10 15 9 12 23 17 20 21 30 3 6 16 7 5 Assume that all assumptions to perform an ANOVA test are satisfied. (a) Test the hypothesis that the three polymer types have the same tension limit at a = 0.01. (b) If you were the design engineer and you wished to maximize the tension limit, determine the polymer type that you would select? (c) By using the Fisher's LSD method, determine the significant differences in the polymer types at a = 0.01.
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