Question

In: Statistics and Probability

Suppose you want to determine whether the brand of laundry detergent used or the temperature affects...

Suppose you want to determine whether the brand of laundry detergent used or the temperature affects the amount of dirt removed from your laundry. To this end, you buy two different brand of detergent (A and B) and choose three different temperature levels (“cold”, “warm”, and “hot”). Then you divide your laundry randomly into 12 piles of equal size and dirtiness and wash them in a combination of detergent and water temperature. The results you get are as follows,

Grams of Dirt Removed Detergent Temperature
4 A Cold
5 B Cold
6 C Cold
5 D Cold
7 A Warm
9 B Warm
8 C Warm
12 D Warm
10 A Hot
12 B Hot
11 C Hot
9 D Hot

Utilizing Friedman’s Test:

a) Determine whether or not the temperature of the wash water impacted the number of grams of dirt removed.

b) Determine whether or not the brand of detergent impacted the number of grams of dirt removed.

Show the appropriate output from Minitab to support your claim and state the significance level you used.

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