A soft drink company is introducing a new drink and wishes to evaluate which of three different formulas will be most popular.Five people taste each of the three formulas in a random order and rate each formula's taste on a scale from 1 to 10.The results are given below.
Conduct a Friedman test at the 0.05 level of significance to determine if there are differences in consumer ratings between the three formulas.

Question

A soft drink company is introducing a new drink and wishes to evaluate which of three different formulas will be most popular.Five people taste each of the three formulas in a random order and rate each formula's taste on a scale from 1 to 10.The results are given below.  
Conduct a Friedman test at the 0.05 level of significance to determine if there are differences in consumer ratings between the three formulas.

Quizplus · Accepted Answer

The Answer is H₀: The distributions of ratings are identical for all three formulas.
H_A: At least two of the distributions differ from one another.
T₁= 9,T₂ = 13,T₃ = 8
Test statistic: S =2.80,P-value = 0.2466
Fail to reject the null hypothesis.There is insufficient evidence to suggest a difference in ratings between the three formulas.

A Soft Drink Company Is Introducing a New Drink and Wishes