(Solved): Factor Information Ana1)s Model Summary As a part of that study, researchers also wondered if th ...

Factor Information Ana1)s Model Summary As a part of that study, researchers also wondered if the type of supplement (orange juice or ascorbic acid) also has an effect on tooth growth. Guinea pigs were randomly assigned to a combination of supplement (orange juice or ascorbic acid) and dose (low, medium or high). The length of the odontoblasts (cells responsible for tooth growth) were measured on each guinea pig. At the \( 5 \% \) significance level, can you conclude that supplement and dose interact in their effect on the length of the odontoblasts? 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: Is the Additive Enough Condition met? Explain, referring to the interaction plot included on the Minitab output. Note that all the other assumptions were checked, and are met. Which of the following are the correct hypotheses for this question? Select one: a. Ho: There is an interaction effect between Supplement and Dose on the mean length of the odontoblast for this population model of guinea pigs. Ha: There is no interaction effect between Supplement and Dose on the mean length of the odontoblast for this population model of guinea pigs. b. Ho: There is no interaction effect between Supplement and Dose on the mean odontoblast length for this population model of guinea pigs. Ha: There is an interaction effect between Supplement and Dose on the mean odontoblast length \( \mathrm{fo} \) this population model of guinea pigs. c. Ho: There is no difference in mean odontoblast length between Supplement and Dose for this population model of guinea pigs. Ha: There is a difference in mean odontoblast length between Supplement and Dose for this population model of guinea pigs. d. Ho: There is a difference in mean odontoblast length between Supplement and Dose for this population model of guinea pigs. Ha: There is no difference in mean odontoblast length between Supplement and Dose for this population model of guinea pigs. State the value of the test statistic and p-value from the Minitab output. \[ \mathrm{F}= \] P-value \( = \) Which of the following is the correct assessment of the significance of the evidence? Select one: a. \( 0.022<0.05 \), reject Ho. b. \( 0.022<0.05 \), do not reject Ho. c. \( 0.022<0.05 \), conclude Ho. d. \( 0.022<0.05 \), moderate evidence to conclude Ha. State your conclusion in the context of the problem.