Silas was curious if sample minimum was an unbiased estimator of population minimum. He started with a large normally distributed population of test scores whose minimum was 51 points.
He then took a random sample of 6 tests and calculated the minimum of the sample. He replaced those tests
and repeated this process for a total of 40 trials. His results are summarized in the dotplot below, where each
dot represents the minimum score from a sample of 6 tests.
:
..
TATUS
50
70
75
55
60
65
Sample minimum