In the last lab, we looked at a study to determine if the bait used in a trap (using scent, sugar, or a chemical) influenced the number of spruce moths that are caught in the trap. As a part of that study, researchers also wondered if the location of the trap in a tree (top branches, middle branches, lower branches, or at the ground) influenced the number of spruce moths caught in a trap. The researchers used 60 traps (all the same brand) and randomly assigned them to the different bait-location combinations. At the 5% significance level, can you conclude that Bait and Location interact in their effect on mean number of spruce moths caught? Use the Minitab output posted on Moodle and follow the steps below to answer this question. What is the response variable? List the factors (explanatory variables) and name the levels of each factor: Question 3 How many treatment groups are there? Not yet answered Marked out of Answer: 0.50 Flag question Question 4 Is the Additive Enough Condition met? Explain, referring to the interaction plot included on the Minitab output. Note that Not yet answered all the other assumptions were checked, and are met. Marked out of 2.00 1 A B I WNH PA Flag questionQuestion 5 Not yet answered Marked out of 2.00 F Flag question Question 6 Not yet answered Marked out of 2.00 V Flag question Which of the following are the correct hypotheses for this question? Select one: Q a. Ho: There is an interaction effect between Bait and Location on the mean number of spruce moths caught in the trap for this population model of spruce moths. Ha: There is no interaction effect between Bait and Location on the mean number of spruce moths caught in the trap for this population model of spruce moths. O b. Ho: There is no interaction effect between Bait and Location on the mean number of spruce moths caught in the trap for this population model of spruce moths. Ha: There is an interaction effect between Bait and Location on the mean number of spruce moths caught in the trap for this population model of spruce moths. O O. HO: There is no difference in mean number of spruce moths caught in the trap between Bait and Location for this population model of spruce moths. Ha: There is a difference in mean number of spruce moths caught in the trap between Bait and Location for this population model of spruce moths. 0 d. Ho: There is a difference in mean number of spruce moths caught in the trap between Bait and Location for this population model of spruce moths. Ha: There is no difference in mean number of spruce moths caught in the trap between Bait and Location for this population model of spruce moths. State the value of the test statistic and pvalue from the Minitab output. F : P-value = Question 7 Which of the following is the correct assessment of the significance of the evidence? Not yet answered Select one: Marked out of O a. 0.932 > 0.05, reject Ho. 1.00 Flag O b. 0.932 > 0.05, do not reject Ho. question O c. 0.932 > 0.05, conclude Ho. O d. 0.932 > 0.05, conclude Ha. Question 8 State your conclusion in the context of the problem. Not yet answered Marked out of 1 Av B 3.00 Flag questionInformation F Flag question Question 9 Not yet answered Marked out of 4.00 'i' Flag question Question 10 Not yet answered Marked out of 2.00 \\V Flag question Since the interaction term was not significant, we can look at the individual factors. Does the data provide sufficient evidence at the 5 % level of significance that the Bait has an effect on the average number of spruce moths caught? Follow the steps below to answer this question. State the appropriate hypotheses in plain English, in the context of the problem. Identify the value of the test statistic and pvalue from the Minitab output. Question 11 Not yet answered Marked out of 2.00 \\7 Flag question Question 12 Not yet answered Marked out of 2.00 \\7 Flag question Question 13 Not yet answered Marked out of 4.00 V Flag question Briefly assess the significance of the evidence. 1 AvBI EEoTs 5' Since the assumptions are met, which of the following conclusions is correct? Select one: 0 a. We cannot conclude there is an interaction effect between Bait and Location on the mean number of spruce moths caught in a trap, for this population model of spruce moths. O b. We can conclude that the Bait has no effect on the mean number of spruce moths caught in a trap, after allowing for Location, for this population model of spruce moths. O c. We can conclude that Bait has an effect on the mean number of spruce moths caught in a trap, after allowing for Location, for this population model of spruce moths. Q d. We cannot conclude that the Bait has an effect on the mean number of spruce moths caught in a trap, after allowing for Location, for this population model of spruce moths. At a 5% level of significance, can we conclude that the location of the trap has an effect on the mean number of spruce moths caught? Answer in context, justifying your answer (but no need to state Ho/Ha). 1A7BISEEo l' ANOVA: Moths versus Bait, Location Factor Information Factor Type Levels Values Bait Fixed 3 Chemical, Scent, Sugar Location Fixed 4 Ground, Lower, Middle, Top Analysis of Variance for Moths Source DF SS MS F P Bait 2 113.0 56.52 0.89 0.416 Location 3 1981.4 660.46 10.45 0.000 Bait*Location 6 115.0 19.16 0.30 0.932 Error 48 3033.6 63.20 Total 59 5243.0 Model Summary S R-sq R-sq(adj) 7.94984 42.14% 28.88% Residual Plots for Moths Normal Probability Plot Versus Fits 19.9 99- 10 g 50 Residual Percent -10 01 20 20 20 25 30 35 20 10 10 Residual Fitted Value Histogram Versus Order 16 10 Residual Frequency Co A 20 -16 -8 8 16 1 5 10 15 20 25 30 35 40 45 50 55 60 Residual Observation OrderInteraction Plot for Moths Interaction Plot for Moths Data Means Location 35 Ground Lower Middle Top 30 Mean 25 20 15 Chemical Scent Sugar Bait