If you wanted to estimate the mean height of all the students at a university, which one of the following sampling strategies would be best? Why? Note that none of the methods are true simple random samples.
i. Measure the heights of 50 students found in the gym during basketball intramurals.
ii. Measure the heights of all engineering majors.
iii. Measure the heights of the students selected by choosing the first name on each
page of the campus phone book.
(iii).It is very unlikely that students whose names happen to fall at the top of a page in the phone book will differ systematically in height from the population of students as a whole. It is somewhat more likely that engineering majors will differ, and very likely that students involved with basketball intramurals will differ.
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Fill in the blank(s) with the appropriate word(s).