Posted: November 9th, 2015

Statistics using Mini tab

Statistics using Mini tab

Use a word processor for the
report and Minitab for conducting the statistical analysis (number the pages)
Detergent manufacturers frequently make claims about the effectiveness of their products. A consumer
protection service decided to test the five best-selling brands of detergent, where each manufacturer
claims that its product produces the whitest whites in all water temperatures. The
experiment was conducted in the following way. One hundred fifty white sheets were equally soiled.
Thirty sheets were washed in each brand, l0 with cold water, 10 with warm water, and 10 with
hot water. After washing, the whiteness scores for each sheet were measured with laser equipment.
Use data set detergent.xls on blackboard to answer the following
a) Compare box plots for each treatment. What comments (about the populations) do you have
from examining these plots.
b) Obtain residuals from the ANOVA test (do not make conclusions about the ANOVA test until
assumptions are verified).
c) Analyze the residuals from this experiment. If outliers are found identify from which treatment
they come from.
d) Conclude about ANOVA assumptions (use p values from appropriate tests)
e) Conclude about ANOVA test. If this test rejects Ho: treatments means are equal, build 95%
confidence intervals on the mean difference between the treatments of interest. Group the
treatments and identify which treatment group would you prefer?

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