concentration differs among the three days? Use the  =α0.05  level of significance and the ANOVA table shown below. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days 2 0.2851 0.1426 2.3135 0.1134 Error 36 2.2185 0.0616     Total 38 2.5036       Yes or no, we, can or can not, conclude that the mean sugar concentration differs among the three days.

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 Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows.

Day 
1
:
5.2
5.5
5.1
4.9
5.3
5.0
5.2
5.1
5.4
5.2
4.8
5.1
5.4
 
Day 
2
:
5.8
5.1
5.3
5.5
5.2
4.9
5.4
5.0
5.4
5.0
5.6
5.4
5.6
 
Day 
3
:
5.9
4.9
5.2
5.3
5.1
5.4
5.3
5.8
5.5
5.4
5.4
5.4
5.2
 

Can you conclude that the mean sugar concentration differs among the three days? Use the 

=α0.05

 level of significance and the ANOVA table shown below.

One-way ANOVA: Sugar Concentration
Source DF SS MS F P
Days
2
0.2851
0.1426
2.3135
0.1134
Error
36
2.2185
0.0616
   
Total
38
2.5036
     

Yes or no, we, can or can not, conclude that the mean sugar concentration differs among the three days.

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