A pharmaceutical company has developed a drug that is expected to reduce hunger.  To test the drug, three samples of rats are selected with n=9 in each sample.  The first sample receives the drug every day.  The second sample is given the drug once a week, and the third sample receives no drug at all (the control group).  The dependent variables is the amount of food eaten by each rat over a 1-month period.  These data are analyzed by an ANOVA, and the results are reported in the following summary table.  Fill in all missing values in the table.  (Hint:  Start with the df column.)   S.S. d.f. M.S. F Between       4.36 Within     3.71 TOTAL     Use the =FDIST(∙) function in Excel or the pf(∙) function in R to locate the p-value for this ANOVA: p-value =  Report answer accurate to at least 4 decimal places. If you use a significance level of α=.05, what would you conclude about these treatments? There is a significant difference between treatments These data do not provide evidence of a difference between the treatments

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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A pharmaceutical company has developed a drug that is expected to reduce hunger.  To test the drug, three samples of rats are selected with n=9 in each sample.  The first sample receives the drug every day.  The second sample is given the drug once a week, and the third sample receives no drug at all (the control group).  The dependent variables is the amount of food eaten by each rat over a 1-month period.  These data are analyzed by an ANOVA, and the results are reported in the following summary table.  Fill in all missing values in the table.  (Hint:  Start with the df column.)

  S.S. d.f. M.S. F
Between       4.36
Within     3.71
TOTAL    



Use the =FDIST(∙) function in Excel or the pf(∙) function in R to locate the p-value for this ANOVA:
p-value = 
Report answer accurate to at least 4 decimal places.

If you use a significance level of α=.05, what would you conclude about these treatments?

  • There is a significant difference between treatments
  • These data do not provide evidence of a difference between the treatments
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