Use the following R ANOVA output to answer the questions below. The data are gra

Question

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.

(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 same for all shelf levels considered (at significance level 0.01)?
A. Fail to reject H0: all means are the same
B. Reject H0: all means are different
C. Reject H0: at least one mean is different
D. Fail to reject H0: all means are different
E. Reject H0: all means are the same
F. Fail to reject H0: all at least one mean is different

> sugar. by. shelf-read.csv("sugar.csv", header-TRUE) sugar.anova F) sugar.by.shelfsShelf 2 0.2458 0.12288 9.065 0.00343 Residuals 13 0.1762 0.01356 signif. codes : 0 ‘ , 0.001 ‘**, 0.01 ‘*, 0.05 ., 0.1 ‘ , 1

Explanation / Answer

a)total number of observations collected=13+1 =14

b)shelf levels=2+! =3

c)  value of the test statistic F =9.065

d) P-value for ANOVA =0.00343

e) as p value is less than 0.01 level

C. Reject H0: at least one mean is different

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