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Back to Understand statistics as a process for inference — Problem 5 · Task Set 12

Exercises: Understand Statistics as a Process for Making Inferences

Work through each section in order. For each scenario, read carefully and use the correct vocabulary (population, parameter, sample, statistic) and notation. Explain your reasoning where a written response is asked for.

Grade 10·21 problems·~40 min·Common Core Math - HS Statistics and Probability·group·hss-ic-a-1
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Fluency Practice

1.

Three different random samples of 60 students are drawn from the same Lincoln High population. They give p^=0.62\hat{p} = 0.62, p^=0.68\hat{p} = 0.68, and p^=0.65\hat{p} = 0.65. The true proportion pp for the whole school did not change between samples.

(a) Why do the three samples give three different values?
(b) What is this sample-to-sample variation called?