Some would object that the data in Exercise 13.1 are clearly discrete, if not ordinal, as defined

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Some would object that the data in Exercise 13.1 are clearly discrete, if not ordinal, as defined in Chapter 2, and that it is inappropriate to run a t test on them. Can you think what might be a counter argument? (This is not an easy question, and I really asked it mostly to make the point that there could be controversy here.)
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