The table below displays data showing weight gain,in grams,for nine young rats,three from each of three litters.Three different diets (the treatments)were assigned at random to the three siblings in litter one (block 1).This was repeated for the other two litters (blocks 2 and 3). Treatment 1 Treatment 2 Treatment 3 Block 1 96 92 80 Black 2 97 90 72 Block 3 94 84 64 \begin{array} { | c | c | c | c | } & ext { Treatment 1 } & ext { Treatment 2 } & ext { Treatment 3 } \\hline ext { Block 1 } & 96 & 92 & 80 \\hline ext { Black 2 } & 97 & 90 & 72 \\hline ext { Block 3 } & 94 & 84 & 64 \\hline\end{array} Block 1 Black 2 Block 3 Treatment 1 96 97 94 Treatment 2 92 90 84 Treatment 3 80 72 64 Conduct a Friedman test at the 0.05 level of significance to determine if there are differences between the three diets.

Question

The table below displays data showing weight gain,in grams,for nine young rats,three from each of three litters.Three different diets (the treatments)were assigned at random to the three siblings in litter one (block 1).This was repeated for the other two litters (blocks 2 and 3).    Treatment 1   Treatment 2   Treatment 3   Block 1  96 92 80  Black 2  97 90 72  Block 3  94 84 64 \begin{array} { | c | c | c | c | }   &  	ext { Treatment 1 }  &  	ext { Treatment 2 }  &  	ext { Treatment 3 } \\hline 	ext { Block 1 }  &  96  &  92  &  80 \\hline 	ext { Black 2 }  &  97  &  90  &  72 \\hline 	ext { Block 3 }  &  94  &  84  &  64 \\hline\end{array}  Block 1   Black 2   Block 3  ​  Treatment 1  96 97 94 ​  Treatment 2  92 90 84 ​  Treatment 3  80 72 64 ​ ​   Conduct a Friedman test at the 0.05 level of significance to determine if there are differences between the three diets.

Janette Marte · Accepted Answer

Final Answer : H0: The distributions of weight gain are identical for all three diets. HA: At least two of the distributions differ from one another. T1= 9,T2 = 6,T3 = 3 Test statistic: S = 6.00,P-value = 0.0498 Reject the null hypothesis.There is sufficient evidence to suggest at least two of diets differ in terms of their distribution of weight gain.

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