Question

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

Answer 1

Sample minimum appears to be a biased estimator since it consistently overestimated the population minimum.

Explanation:

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