A Researcher Wants to Know If People of Different Age

question 19

Multiple Choice

A researcher wants to know if people of different age groups spend the same time on purchasing goods and services. The researcher considers four age groups and conducts a survey using random sample for each of these groups. Each person answered the question, how many hours, on average, he or she usually spends on purchasing goods and services during a week. The results are represented in the table below. ​ Chose the correct null and alternative hypotheses statements.
​

• A)The null hypothesis is , and the alternative is H_α: at least two of μ's are different.
• B)The null hypothesis is , and the alternative is H_α: all μ are equal.
• C)The null hypothesis is , , , , and the alternative is H_α: all μ are equal.
• D)The null hypothesis is , , , , and the alternative is , .

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Definitions:

Eugenics

Eugenics is a controversial historical movement and set of beliefs aimed at improving the genetic quality of the human population through selective breeding and other methods.

Social Darwinism

A theory that applies the concept of "survival of the fittest" from evolutionary biology to societies, justifying inequalities and promoting competition.

Evolutionary Theory

A scientific explanation for the diversity of life on Earth, proposing that species change over time through processes like natural selection and genetic mutation.

DNA Molecule

The molecule carrying the genetic instructions used in the growth, development, functioning, and reproduction of all known living organisms and many viruses.