The table below displays data showing weight gain,in grams,for 12 young rats,three from each of four 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 three litters (blocks 2,3,and 4). $$\begin{array} { | c | c | c | c | }
& \text { Treatment 1 } & \text { Treatment 2 } & \text { Treatment 3 } \
\hline \text { Block 1 } & 96 & 92 & 70 \
\hline \text { Block 2 } & 97 & 90 & 72 \
\hline \text { Black 3 } & 94 & 84 & 64 \
\hline \text { Block 4 } & 88 & 94 & 69 \
\hline
\end{array}$$ 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 12 young rats,three from each of four 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 three litters (blocks 2,3,and 4). $$\begin{array} { | c | c | c | c | } 
 & \text { Treatment 1 } & \text { Treatment 2 } & \text { Treatment 3 } \
\hline \text { Block 1 } & 96 & 92 & 70 \
\hline \text { Block 2 } & 97 & 90 & 72 \
\hline \text { Black 3 } & 94 & 84 & 64 \
\hline \text { Block 4 } & 88 & 94 & 69 \
\hline
\end{array}$$ Conduct a Friedman test at the 0.05 level of significance to determine if there are differences between the three diets.

Quizplus · Accepted Answer

The Answer is H0: The distributions of weight gain are identical for all three diets. HA: At least two of the distributions differ from one another. T1= 11,T2 = 9,T3 = 4 Test statistic: S = 6.50,P-value = 0.0388 Reject the null hypothesis.There is sufficient evidence to suggest at least two of diets differ in terms of their distribution of weight gain.

The Table Below Displays Data Showing Weight Gain,in Grams,for 12