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Healthy cereal? Researchers collected data on 77 brands of cereal at a local supermarket.25 For each brand, the sugar content (grams per serving) and the shelf in the store on which the cereal was located (1 = bottom, 2 = middle, 3 = top) were recorded. A dot-plot of the data is shown below. Compare the three distributions. Critics claim that supermarkets tend to put sugary kids’ cereals on lower shelves, where the kids can see them. Do the data from this study support this claim?

Short Answer

Expert verified

The third distribution is biassed to the right.

The first and second distributions are skewed to the left.

Yes, the data is supported by the supplied claim.

Step by step solution

01

Given information

The sugar level for the middle shelf is higher. The bottom shelf contains mostly low sugar levels.

02

Concept

Dot plots are one of the most fundamental statistical plots, and they work best with small to medium-sized data sets.

03

Explanation

Because the distribution 3is skewed to the right, cereal brands with less sugar are kept on the top shelf in 36of the 77local stores. The distribution 2is skewed to the left, indicating that high-sugar-coated cereals are kept on the Centre shelf at 21of the 77supermarkets in the area. And distribution 1 is biased to the left once more, indicating that cereals with a high sugar coat are kept on the bottom shelf in 20of the 77supermarkets in the area. All of the distributions are one-dimensional. The ranges of all three distributions are roughly identical. Because the distribution 1for cereals on the bottom shelf is skewed to the right, many local supermarkets put fewer sugary cereals on the bottom shelf. As a result, the dot-plot distribution partially supports the claim that supermarkets place sugary kids' cereals on lower shelves where the kids can see them. The smoothness to the left in Distribution 2indicates that many local retailers have more sweet cereals on the middle shelf. The assumption appears to be correct because the sugar levels on the middle shelf are higher (more dots are to the right than for the bottom and upper shelf).

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