Please help me with questions below. Thank you!

3. A commercial airline is consideng four different designs of the control panel for the new generation of air- planes To see if the designs have an effect on the pilot's response time to emergency displays. emergency condi tions were simulated and the response times, in seconds of E pilots were recorded. The same 8 pilots were used for all four designs The order in which the designs were eval uated was randomized for each pilot. The data are given in PfforRsocTrmsstxt. {a} Write a model for the observations 1'.)- and specify which parameters represent the treatment effects and which represent the random block effects. {b} Using parameters of the model you wrote in part {a}. state the null and alternative hypotheses relevant for deciding if the designs differ in terms of the pilot's mean response time. {d} Regardless of the conclusions reached in part {c}, carry out the ANDVA F procedure at level of signif icanoe o = Hill for testing the hypothesis in part [b], and report the pvalue. 4. In the context of Exercise 3, use R commands to construct Tukey's 99% simultaneous CIs, including the plot that visually displays them, and perform multiple comparisons at experiment-wise level 0.01 to determine which pairs of designs differ significantly in terms of the pilot's response time. Summarize the conclusions by arranging the sample means in increasing order and underlining the pairs of means that are not significantly different.5. An experiment was performed to determine the effect of four different chemicals on the strength of a fabric. Five fabric samples were selected and each chemical 1was tested once in random order on each fabric sample. The total sum of squares for this data is SST = 3.4455. Some additional summary statistics are given in the partially filled ANOVA table below: Df Sum Sq Mean Sq F value treatment block 5.4530 Residuals 0.5110 (a) Which of the two factors in this study, that is, which of the factors "chemical" and "fabric," is the blocking factor? (b) Complete the ANOVA table and test the null hypoth- esis at level o = 0.05 that the four chemicals do not differ in terms of the mean strength of the fabric. Report the p-value