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Exhibit 10

question 18

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Exhibit 10.2.Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat.Since most of the body's calcium is stored in bones and teeth,the body withdraws the calcium it needs from the bones.Over time,if more calcium is taken out of the bones than is put in,the result may be thin,weak bones.This is especially important for women who are often recommended a calcium supplement.A consumer group activist assumes that calcium content in two popular supplements are normally distributed with the same unknown population variance,and uses the following information obtained under independent sampling: Exhibit 10.2.Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat.Since most of the body's calcium is stored in bones and teeth,the body withdraws the calcium it needs from the bones.Over time,if more calcium is taken out of the bones than is put in,the result may be thin,weak bones.This is especially important for women who are often recommended a calcium supplement.A consumer group activist assumes that calcium content in two popular supplements are normally distributed with the same unknown population variance,and uses the following information obtained under independent sampling:   Let μ<sub>1</sub> and μ<sub>2</sub> denote the corresponding population means. Refer to Exhibit 10.2.Can we conclude that the average calcium content of the two supplements differs at the 95% confidence level? A) No,since the 95% confidence interval contains the hypothesized value of zero. B) Yes,since the 95% confidence interval contains the hypothesized value of zero. C) No,since the 95% confidence interval does not contain the hypothesized value of zero. D) Yes,since the 95% confidence interval does not contain the hypothesized value of zero. Let μ1 and μ2 denote the corresponding population means. Refer to Exhibit 10.2.Can we conclude that the average calcium content of the two supplements differs at the 95% confidence level?


Definitions:

Base-Rate Information

Refers to the statistical frequency of various phenomena or characteristics within a given population, used to inform judgment and decision-making processes.

Base-Rate Information

Statistical information that represents the prevalence or general occurrence of a particular trait, behavior, or event within a larger population.

Availability Heuristic

An instinctive mental tactic that uses the nearest instances that surface in thought while considering a certain topic, theory, strategy, or judgment.

Base-Rate Information

Base-rate information refers to the statistical likelihood of an event or characteristic within a given population, used in decision-making processes.

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