A Producer of Fine Chocolates Believes That the Sales of Two

question 14

Multiple Choice

A producer of fine chocolates believes that the sales of two varieties of truffles differ significantly during the holiday season. The first variety is milk chocolate while the second is milk chocolate filled with mint. It is reasonable to assume that truffle sales are normally distributed with unknown but equal population variances. Two independent samples of 18 observations each are collected for the holiday period. A sample mean of 12 million milk chocolate truffles sold with a sample standard deviation of 2.5 million. A sample mean of 13.5 million truffles filled with mint sold with a sample standard deviation of 2.3 million. Use milk chocolate as population 1 and mint chocolate as population 2. Which of the following are the appropriate hypotheses to determine if the average sales of the two varieties of truffles differ significantly during the holiday season?

• A) H₀: µ_D ≥ 0, H_A: µ_D < 0
• B) H₀: µ_D = 0, H_A: µ_D ≠ 0
• C) H₀: µ₁ - µ₂ ≥ 0, H_A: µ₁ - µ₂ < 0
• D) H₀: µ₁ - µ₂ = 0, H_A: µ₁ - µ₂ ≠ 0

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Definitions:

Superiority Complex

An attitude of superiority that conceals actual feelings of inferiority and failure, often leading to disdain for others.

Trait Theorists

Psychologists who aim to understand personality by identifying and measuring the traits that underlie individual behaviors and attitudes.

Cattell

An influential psychologist known for his research on personality, intelligence testing, and the application of factor analysis in psychology.

Allport

Refers to Gordon Allport, an American psychologist known for his theory of personality that emphasized the uniqueness of the individual and the concept of personal dispositions.