The following statistics are the result of an experiment conducted by P. I. Ward to investigate a theory concerning the molting behavior of the male Gammarus pulex, a small crustacean.8 If a male needs to molt while paired with a female, he must release her, and so loses her. The theory is that the male G. pulex is able to postpone molting, thereby reducing the possibility of losing his mate. Ward randomly assigned 100 pairs of males and females to two groups of 50 each. Pairs in the first group were maintained together (normal); those in the second group were separated (split). The length of time to molt was recorded for both males and females, and the means, standard deviations, and sample sizes are shown in the accompanying table. (The number of crustaceans in each of the four samples is less than 50 because some in each group did not survive until molting time.)
a Find a 99% confidence interval for the difference in mean molt time for “normal” males versus those “split” from their mates.
b Interpret the interval.
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Chapter 8 Solutions
Mathematical Statistics with Applications
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