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Calcium Is an Essential Nutrient for Strong Bones and for Controlling

question 46

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Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because 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: Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because 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. Construct a 95% confidence interval for the difference μ<sub>1</sub> - μ<sub>2</sub>. A)  [-30.9386, 1.0614] B)  [-31.5886, -0.4114] C)  [-33.8007, 1.8007] D)  [-34.8012, 2.8012] Let μ1 and μ2 denote the corresponding population means. Construct a 95% confidence interval for the difference μ1 - μ2.


Definitions:

Microorganisms

Tiny living organisms that can only be seen with a microscope, including bacteria, viruses, and fungi, among others.

Memory Cells

A type of immune cell that remains in the body for long periods, ready to quickly respond to previously encountered antigens.

Antibodies

Proteins produced by the immune system that recognize and neutralize foreign objects like bacteria and viruses.

T Cells

A type of white blood cell that plays a central role in the immune response by attacking infected or cancerous cells.

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