Mathematics, 09.10.2021 14:00, sdepasquale24

Flavia was curious if a sample first quartile (or Q_1Q 1 Q, start subscript, 1, end subscript) was an unbiased estimator of a population first quartile. She started with a large normally distributed population of test scores whose first quartile was Q_1=70Q 1 =70Q, start subscript, 1, end subscript, equals, 70 points. She then took a random sample of 666 tests and calculated the first quartile of the sample. She replaced those tests and repeated this process for a total of 505050 trials. Her results are summarized in the dotplot below, where each dot represents the first quartile from a sample of 6 tests.

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Flavia was curious if a sample first quartile (or Q_1Q 1 Q, start subscript, 1, end subscript) was...