How Large a Sample Is Needed for a Correlation of R

question 29

Multiple Choice

How large a sample is needed for a correlation of r = 0.550 to be significant using a two-tailed test with α = .05?​

• A)​n = 14
• B)​n = 13
• C)​n = 12
• D)​n = 11

---

Definitions:

Hydrogen-bonded Dimers

Pairs of molecules that are connected by hydrogen bonds, often observed in carboxylic acids and alcohols.

Molecular Weights

The sum of the atomic weights of all atoms in a molecule, representing the mass of a molecule relative to the unified atomic mass unit.

Carboxylic Acids

Organic acids characterized by the presence of at least one carboxyl group (-COOH), widely occurring in nature and used in various industrial applications.

Aldehydes

Organic compounds characterized by the presence of a carbonyl group attached to at least one hydrogen atom, used in a wide range of chemical synthesis processes.