Researchers wanted to compare the effectiveness of a water softener used with a filtering
process with a water softener used without filtering. Ninety locations were randomly divided into two groups of equal size. Group A locations used a water softener and the filtering process, while group B used only the water softener.
At the end of three months, a water sample was tested at each location for its level of softness.
(Water softness was measured on a scale of 1 to 5, with 5 being the softest water.)
The results were as follows:
Group A (water softener and filtering)
Group B (water softener only)
Determine, at the 90% confidence level, whether there is a difference between the two types of treatments.