Problem 6 [12 points) The tensile strength of rubber produced by three different
ID: 3321402 • Letter: P
Question
Problem 6 [12 points) The tensile strength of rubber produced by three different processes will be compared based on samples of 4 seals made by each process. 1. (3 points) With the tensile strength measurements and process indicator read in columns r and s, respectively, the R commands out-aov(x~s); anova(out) which is presented below partially filled. Response: x produce an 347512 Df Sum Sq Mean Sq F value Pr( F) 2 34.75 17.38725 0.01328 921-555d.375 8 Residuals s Total / 56.31 17,38/2.316 Fill in the six missing entries. 2. (2 points) This ANOVA table contains all information needed for testing which null and alternative hypotheses? H0.JI'.. 1:jj 3 Hei..ji.jj2t us 3. (3 points) Give the p-value for testing the hypotheses in part 2 and state whether or not Ho should be rejected at level a =005. Reject, be P. valut less then (4 points) The additional command plot(TukeyHSD(out) produces Figure 1. Which contrasts are significantly different from zero at experiment-wise error rate of 0.05? (In the figure, the three sample means are indicated by 1, 2 and 3.)Explanation / Answer
4) As per Tukey's HSD confidence interval between mean's.
If the confidence interval includes Zero, then the mean difference is not significant.
So, 3-2 is significantly different from Zero at 0.05 significant level. interval range is higher than Zero.