A study is completed on the software development time for implementing an algorithm programmed by 24 programmers using four different programming languages. The research question is “Does the choice of programming language affect software development time?” The 24 programmers were randomly assigned to program the algorithm in four different languages (A, B, C, and D). The software development times, in minutes, were taken and tested in random order. The analysis in Table 31.10 is exactly justified if the data are random samples from four normal populations. Note that test order is listed in parentheses.
a. State the formal hypothesis being tested.
b. Are the differences between the treatment averages greater than expected given the variation within treatments? (Hint: Run a one-way ANOVA.)
c. Plot the points for the four treatments on a common distribution plot. Using this plot as a basis, could these four values be drawn randomly from a distribution plot?
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