A researcher compared the senses of smell of three groups of people: chefs, peop

Question

A researcher compared the senses of smell of three groups of people: chefs, people working in a garlic-processing plan, and office clerks. The scores are listed in the table below. Lower scores indicate better senses of smell. Do people working in different jobs have different senses of smell, at the .05 level of significance? Chefs Garlic Plant Workers Office Workers 1.6 2.4 2.1 1.5 2.1 2.0 1.8 2.5 1.7 2.1 2.0 2.3 1.9 2.2 1.9 1. What is your df (Between)? 2. What is your df (Within)? A researcher compared the senses of smell of three groups of people: chefs, people working in a garlic-processing plan, and office clerks. The scores are listed in the table below. Lower scores indicate better senses of smell. Do people working in different jobs have different senses of smell, at the .05 level of significance? Chefs Garlic Plant Workers Office Workers 1.6 2.4 2.1 1.5 2.1 2.0 1.8 2.5 1.7 2.1 2.0 2.3 1.9 2.2 1.9 1. What is your df (Between)? 2. What is your df (Within)? Chefs Garlic Plant Workers Office Workers 1.6 2.4 2.1 1.5 2.1 2.0 1.8 2.5 1.7 2.1 2.0 2.3 1.9 2.2 1.9

Explanation / Answer

df(between) = k - 1 = 3 - 1 = 2 Here k is the number of populations being compared. df(within) = n - k = 15 - 3 = 12 Here n is the total sample size which in this problem is (5+5+5) 15.

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