Question 1 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...


Applied Statistical Methods




Question 1<br>An investigation was carried out to test the string tension limit of badminton rackets<br>measured in pounds (Ibs) based on three different types of polymer. The results<br>were given in the following table:<br>Polymer type<br>Tension limit<br>1<br>8<br>10<br>15<br>9<br>12<br>2<br>23<br>17<br>20<br>21<br>30<br>3<br>8<br>6<br>16<br>7<br>5<br>Assume that all assumptions to perform an ANOVA test are satisfied.<br>(a)<br>Test the hypothesis that the three polymer types have the same tension limit<br>at α = 0.01.<br>(b)<br>If you were the design engineer and you wished to maximize the tension<br>limit, determine the polymer type that you would select?<br>(c)<br>By using the Fisher's LSD method, determine the significant differences in<br>the polymer types at a = 0.01.<br>%3!<br>

Extracted text: Question 1 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 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 α = 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. %3!

Jun 09, 2022
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