Question

The article "The Largest Last Supper: Depictions of Food Portions and Plate Size Increase Over the Millennium" (International Journal of Obesity [2010]: 1-2) describes a study in which each painting in a sample of 52 paintings of $T h e$ Last Supper was analyzed by comparing the size of the food plates in the painting to the head sizes of the people in the painting. For paintings that were painted prior to the year $1500,$ the estimated average plate-to-head size ratio was smaller than this ratio for the paintings that were painted after the year $1500 .$ Is the inference made one that involves estimation or one that involves hypothesis testing?

Name: Problem 7, Chapter 7: Statistics Learning From Data
Uploaded: 2023-03-12T05:44:16-08:00
Duration: 1 min 42 s
Channel: Dominador Tan

   The article "The Largest Last Supper: Depictions of Food Portions and Plate Size Increase Over the Millennium"
(International Journal of Obesity [2010]: 1-2) describes a study in which each painting in a sample of 52 paintings of $T h e$ Last Supper was analyzed by comparing the size of the food plates in the painting to the head sizes of the people in the painting. For paintings that were painted prior to the year $1500,$ the estimated average plate-to-head size ratio was smaller than this ratio for the paintings that were painted after the year $1500 .$ Is the inference made one that involves estimation or one that involves hypothesis testing?

Statistics Learning From Data

Thomas H. Short,… 2nd Edition

Chapter 7, Problem 7

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Solved by Expert Dominador Tan

03/12/2023

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Then, it compared the size of the food plates in the painting to the head sizes of the people in the painting. Show more…

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The article "The Largest Last Supper: Depictions of Food Portions and Plate Size Increase Over the Millennium" (International Journal of Obesity [2010]: 1-2) describes a study in which each painting in a sample of 52 paintings of $T h e$ Last Supper was analyzed by comparing the size of the food plates in the painting to the head sizes of the people in the painting. For paintings that were painted prior to the year $1500,$ the estimated average plate-to-head size ratio was smaller than this ratio for the paintings that were painted after the year $1500 .$ Is the inference made one that involves estimation or one that involves hypothesis testing?

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Key Concepts

Estimation

Estimation involves calculating sample statistics that serve as approximations of population parameters. In this context, the researchers computed average plate-to-head size ratios from two different time periods to draw inferences about possible trends over time. This approach focuses on summarizing the data with point estimates, rather than testing a formal hypothesis about differences between groups.

Hypothesis Testing

Hypothesis testing involves setting up a null hypothesis and an alternative hypothesis, then using statistical tests to assess whether the observed data provide sufficient evidence to reject the null hypothesis. This method typically uses p-values or confidence intervals to make decisions about the data, which was not the primary focus of the study described.

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