By the manufacturer’s standards, candies are produced in the following colors: • 30% Green • 40% Blue • 10% Yellow • 20% Red The candies are then mixed together and randomly packaged in bags. Terri bought a bag of these candies and found that she has 10 candies with the following results: • Green 3 • Blue 2 • Yellow 2 • Red 3 What common statistical error could account for Terri’s bag of candies NOT conforming to the manufacturer’s standards? The manufacturer changed the standards. The sample is not large enough. The manufacturer made a mistake. The sample should be smaller.

Question

27-03-2024
Mathematics

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By the manufacturer’s standards, candies are produced in the following colors: • 30% Green • 40% Blue • 10% Yellow • 20% Red The candies are then mixed together and randomly packaged in bags. Terri bought a bag of these candies and found that she has 10 candies with the following results: • Green 3 • Blue 2 • Yellow 2 • Red 3 What common statistical error could account for Terri’s bag of candies NOT conforming to the manufacturer’s standards? The manufacturer changed the standards. The sample is not large enough. The manufacturer made a mistake. The sample should be smaller.

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JohnPositivity JohnPositivity · Answer 1 · 2024-03-27T17:02:54+01:00

The common statistical error that could account for Terri's bag of candies not conforming to the manufacturer's standards is: "The sample is not large enough."

In this case, the difference between the observed frequencies of colors in Terri's bag of candies and the manufacturer's standards might be due to random sampling variation. With a larger sample size, the observed frequencies would likely get closer to the expected frequencies based on the manufacturer's standards.