To determine which option would not produce a representative sample of the favorite sport of students at the local high school, we can evaluate each method:
a) Ask every 10th student who arrives at school on Wednesday - This method may not capture the preferences of students who arrive on other days, but it generally provides a random sample of students present on that day.
b) 5 students from each classroom - This method ensures representation from all classrooms, which is likely to yield a diverse and representative sample.
c) Ask every 10th student from a list of names in the student directory - This method could potentially be biased if the list does not accurately reflect student attendance or participation in sports.
d) 10 students wearing football jerseys each day for a week - This method is biased as it targets only students who are wearing football jerseys, which suggests a specific preference for football and would not provide a representation of the entire student population's favorite sport.
Among these options, d) would not produce a representative sample as it is biased towards football fans.
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