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Researchers Wanted to Compare the Effectiveness of a Water Softener

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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,the water 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. 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,the water 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.    Refer to the sample data to test whether there is a difference between the two types of treatments.
Refer to the sample data to test whether there is a difference between the two types of treatments.

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verifed

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H0: μ1 - μ2 = 0 HA: μ1 - μ2 ≠ 0
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