A researcher compares the bamboo shoot heights in DS 6.6.5 obtained under growing conditions A with the

Question:

A researcher compares the bamboo shoot heights in DS 6.6.5 obtained under growing conditions A with the bamboo shoot heights in DS 9.6.3 obtained under growing conditions B. Recall that the growing conditions B allowed 10% more sunlight than growing conditions A.
(a) Use the Kolmogorov-Smirnov test to assess the evidence that the two functions are different.
(b) Use the rank sum test to assess the evidence that the two functions are different. Obtain a 95% confidence interval for the difference between the median bamboo shoot heights for the two growing conditions. On what assumption is the rank sum test based? Do you think that it is a reasonable assumption in this case?
Distribution
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