A Career Counselor Wants to Determine If There Is an Interaction

question 24

Essay

A career counselor wants to determine if there is an interaction between gender (male or female)and sector (private or public)on average weekly income.The counselor obtains data and produces the following incomplete two-way ANOVA table. a.Complete the ANOVA table.
b.At the 5% significance level,can you conclude there is interaction between gender and sector?
c.Are you able to conduct tests on the main effects? If yes,conduct these tests at the 5% significance level.
d.Why is a two-way ANOVA (with or without interaction)preferable to two two-sample T-tests in this situation?

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Definitions:

Metamorphic Rock

Rock that has undergone transformation in texture, mineralogy, or chemical composition due to high temperature and pressure.

Partial Melting

The process by which only a portion of a solid is melted, often occurring in the Earth's mantle, leading to the generation of magma.

Metamorphism

The process by which the mineral composition and structure of rocks are changed by heat and pressure, without melting.

Magma

Molten rock located beneath the earth's surface, which can erupt as lava during a volcanic eruption and solidify to form igneous rocks.