Red Meat Consumption Narrative

question 69

Essay

Red Meat Consumption Narrative
To test the theory that the consumption of red meat in Canada has decreased over the past 10 years, a researcher decides to select hospital nutrition records for 400 subjects surveyed 10 years ago and to compare their average amount of beef consumed per year to amounts consumed by an equal number of subjects interviewed this year. The data are given in the table.
-Refer to Red Meat Consumption Narrative. Do the data present sufficient evidence to indicate that per capita beef consumption has decreased in the past 10 years? Test at the 1% level of significance.

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Definitions:

Area

Refers to the extent of a surface or space measured in square units.

Sample Sizes

The number of observations or individuals in a subset of data taken from a larger population for the purposes of statistical analysis.

Type I Error

The incorrect rejection of a true null hypothesis, also known as a "false positive".

F-test Statistic

A ratio of two variances that follows an F-distribution, used to compare statistical models or test hypotheses about the equality of variances.