Using r-studio please code parts a-c Tip Specimen1112132222333441232323Hardness9.39.49.610.09.49.39.89.99.29.49.59.79.79.610.010.2 5-84. In Design and Analysis of Experiments, 7th edition(John Wiley & Sons, 2009), D. C. Montgomery describes anexperiment that determined the effect of four different typesof tips in a hardness tester on the observed hardness of ametal alloy. Four specimens of the alloy were obtained, andeach tip was tested once on each specimen, producing thefollowing data:Type ofTip123419.39.49.29.729.49.39.49.6Specimen39.69.89.510.0410.09.99.710.2(a) Is there any difference in hardness measurements betweenthe tips?(b) Use the graphical method from Section 5-8.1 to investigatespecific differences between the tips.(c) Analyze the residuals from this experiment.

Given the data asType of TipSpecimen123419.39.49.610.029.49.39.89.939.29.49.59.749.79.610.010.2(a) R code:The null and alternate hypotheses areH0: the average hardness measurements are the same for all tipsHa: the average hardness measurements are different for at least one tipDecision rule: Conclusion: there is significant evidence that there exists a difference in hardness measurements between the tips.(b) R code for Box plots:From the above box plot, it is visible that the median of tips 1 and 2 is significantly different from tips 3 and 4.(c) R code for residual plot:In the above graph, the residuals do not exhibit a random pattern, it suggests that the assumptions of the ANOVA model are not met, and further investigation is needed.(a) R code:Conclusion: there is significant evidence that there exists a difference in hardness measurements between the tips.(b) R code for Box plots:From the above box plot, it is visible that the median of tips 1 and 2 is significantly different from tips 3 and 4.(c) R code for residual plot:In the above graph, the residuals do not exhibit a random pattern, it suggests that the assumptions of the ANOVA model are not met, and further investigation is needed.