PreviouS 3 points) Use the following R ANOVA output to answer the questions belo

Question

PreviouS 3 points) Use the following R ANOVA output to answer the questions below. The data are grams of sugar per serving of a random sample of cereal boxes from different shelf levels to see if there is a relationship between shelf level and sugar content of cereal. sugar.by.shelf sugar, anova aov(sugar.by. shelfssugar-sugar.by.shelfSShelf) >summary(sugar.anova) Df sum Sq Mean Sq F value ProF) sugar.by.shelfSshelf 2 0.2458 0.12288 9.065 0.00343 Residuals 13 0.1762 0.01356 signif. codes: 0o.0010.01 0.05 0.1 (a) What was the total number of observations collected? (b) How many shelf levels were considered? (c) What is the value of the test statistic (d) What is the P-value for ANOVA e) What do you conclude about the mean sugar levels sarme for allshelf levels considered (at significance level 0.01)2 OA. Fail to reject Ho: all means are the same B. Fail to reject HO: all means are different C.Fail to reject HO: all at least one mean is different D. Reject HO: all means are different E. Reject HO: at least one mean is different F.Reject HO: all means are the same

Explanation / Answer

a) total number of observations = 16

b) the shelf levels are = 3

c) the value of test statistic is = 9.065

d) the probability value = 0.00343

e) given Alfa = 0.01

Alfa > 0.00343 , the result is not significant

We don't reject the null hypothesis

Fail to reject H0 , all means are same

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