The Following Data for Five Years of the Annual Returns

question 104

Multiple Choice

The following data for five years of the annual returns for two of Vanguard's mutual funds, the Vanguard Energy Fund (x) and the Vanguard Healthcare Fund (y) , were given as s_x = 35.77, s_y = 13.34, s_xy = 447.68. The competing hypotheses are H₀: ρ_xy = 0, H_A: ρ_xy ≠ 0. Which of the following is the value of the test statistic?

• A) 7.47
• B) 5.74
• C) 4.77
• D) 4.27

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Definitions:

Passive Transport

Membrane-crossing mechanism that requires no energy input.

Facilitated Diffusion

A process of passive transport, with the aid of integral membrane proteins, allowing substances to move across cell membranes without energy expenditure.

Receptor-Mediated Endocytosis

A cellular process by which cells internalize molecules (like hormones, nutrients, and proteins) by the inward budding of plasma membrane vesicles containing proteins with receptor sites specific to the molecules being internalized.

Allosteric Regulation

The regulation of an enzyme's activity through the binding of a molecule at a site other than the enzyme's active site, causing a change in its shape.