M Inbox ( X Homew X BIO 310 X = BIO 310 X Bb Lab 4 a X Bb MAT25 X Bb MAT25 X Banner x G myosw x G entomc X Ildar Se X + X oswego.open.suny.edu/bbcswebdav/pid-2127488-dt-content-rid-15263721_1/courses/202201-10266-MAT258/MAT258Lab4Spring2022_820.pdf MAT258Lab4Spring2022_820.pdf 100% MAT 258 Lab 4 Due Monday April 11th (4/11/2022) by 2:50pm For this lab you are to address each of the following parts in a lab write-up. Include any relevant Minitab output into your lab write-up. The write-up should be well organized and clearly indicate which part of the lab the submitted response is addressing. The Lab assignment will be collected through Blackboard as a word file or as a pdf and can be found in the content folder labeled Lab 4. A company has developed three different techniques (Technique 1, Technique 2, Technique 3) to produce a certain compound. They are interested in determining if the yield (grams) of the compound produced is different for the three different techniques. The company has 4 employees which they think could potentially have an impact on the yield. Therefore, they conduct a randomized complete block design, treating the employees as a blocking variable. Table 1: Yield data Technique 1 Technique 2 Technique 3 Employee 1 48.08 49.91 63.93 Employee 2 44.14 51.19 58.83 Employee 3 47.00 44.47 54.66 Employee 4 55.55 53.76 57.73 a) Write out the statistical hypotheses of interest for this scenario. b) Verify that the normality assumption and equal variance assumption are met. c) What is the p-value of the hypothesis test of interest in this experiment? d) Based on the analysis of variance, what conclusion would you make at the a = 0.05 significance level? e) Regardless of your answer for part d, conduct post-hoc analysis using Tukey's test for this experiment. What conclusion would you make based on the post-hoc analysis at the a = 0.05 significance level? O 0 3 0 1:43