Twelve Dieters Lost an Average of 5 $- 1.8 < \mu _ { 1 } - \mu _ { 2 } < 0.4$

question 13

Multiple Choice

Twelve dieters lost an average of 5.2 pounds in 6 weeks when given a special diet plus a "fat-blocking" herbal formula. A control group of twelve other dieters were given the
Same diet, but without the herbal formula, and lost an average of 4.5 pounds during the
Same time. The standard deviation of the "fat-blocker" sample was 2.8 and the standard
Deviation of the control group was 2.5. Find the 95% confidence interval for the
Differences of the means.

• A) \(- 1.8 < \mu _ { 1 } - \mu _ { 2 } < 0.4\)
• B) \(- 0.4 < \mu _ { 1 } - \mu _ { 2 } < 1.8\)
• C) \(- 1.7 < \mu _ { 1 } - \mu _ { 2 } < 3.1\)
• D) \(- 1.2 < \mu _ { 1 } - \mu _ { 2 } < 2.6\)

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Definitions:

Circulatory System

The body's system responsible for transporting blood, nutrients, gases, and wastes, involving the heart, blood vessels, and blood.

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The spontaneous loss of a pregnancy before the fetus can survive outside the womb, typically occurring within the first 20 weeks of gestation.

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Physical, chemical, and biological factors external to a person that can cause harm or adverse health effects.

PCBs

Polychlorinated biphenyls, a group of man-made organic chemicals known for their environmental persistence and potential health hazards.