STAT XXXXXXXXXXHW#5 Due Date: 3/4/2021 (Thursday) · Homework must be submitted to Assignment #5 on Blackboard · On the top right corner, write your name, date, and HW #. · All problem numbers refer to...

STAT3119-10 HW#5 Due Date: 3/4/2021 (Thursday) · Homework must be submitted to Assignment #5 on Blackboard · On the top right corner, write your name, date, and HW #. · All problem numbers refer to the problem from Dean, Voss, and Dragulijic (DVD) · Please summarize your results from statistical software such as R or SAS 1) (4 pts) (DVD 6.3) Consider the functions and under the two-way complete model (6.2.2). a) Verify that the functions are estimable contrasts. b) Discuss the meaning of each of these contrasts for plot (c) of Fig. 6.1, p. 140, and for plot (c) of Fig. 6.2, p. 141. 2) (6 pts) (DVD 6.7) Weld strength experiment The data shown in Table 6.22 are a subset of the data given by Anderson and McLean (1974) and show the strength of a weld in a steel bar. Two factors of interest were gage bar setting (the distance the weld die travels during the automatic weld cycle) and time of welding (total time of the automatic weld cycle). Assume that the levels of both factors were selected to be equally spaced. a) (2 pts) Using the cell-means model (6.2.1) for these data, test the hypothesis that there is no difference in the effects of the treatment combinations on weld strength against the alternative hypothesis that at least two treatment combinations have different effects. b) (2 pts) Suppose the experimenters had planned to calculate confidence intervals for all pairwise comparisons between the treatment combinations, and also to look at the confidence interval for the difference between gage bar setting 3 and the average of the other two. Write down the contrasts in terms of the parameters of the cell-means model, and suggest a strategy for calculating all intervals at overall level “at least 98%.” c) (2 pts) Consider the intervals in part (b).Give the formulae and calculate the actual interval for (the difference in the true mean strengths at the 3rd and 5th times of welding for the first gage bar setting), and explain what this interval tells you. Also calculate the actual interval for the difference between gage bar setting 3 and the average of the other two, and explain what this interval tells you. Ebook- https://ebookcentral.proquest.com/lib/gwu/detail.action?docID=6315198 user name: faynguyen18 password: Gwufay123!