Suppose you want to determine whether the brand of laundrydetergent used or the temperature affects the amount of dirtremoved from your laundry. To this end, you buy two different brandof detergent (A and B) and choose three different temperaturelevels (“cold”, “warm”, and “hot”). Then you divide your laundryrandomly into 12 piles of equal size and dirtiness and wash them ina combination of detergent and water temperature. The results youget 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 waterimpacted the number of grams of dirt removed.
b) Determine whether or not the brand of detergent impacted thenumber of grams of dirt removed.
Show the appropriate output from Minitab to support yourclaim and state the significance level you used.