A sample of 10 randomly selected IQ scores is obtained from the population of professional athletes. We want to test the claim that the population is centered at the IQ score of 100.
a. Is it possible to have sample data such that the sign test leads to rejection of the null hypothesis that the median is equal to 100 while the t test conclusion (Chapter 4) is failure to reject the null hypothesis of p. = 100? If so, construct such a data set.
b. Is it possible to have sample data such that the sign test conclusion is failure to reject the null hypothesis that the median is equal to 100 while the t test conclusion (Chapter 4) is rejection of the null hypothesis of p, = 100? If so, construct such a data set.