A consumer psychologist wishes to determine whether playing music increases sales. The owner plays no music, soft rock, classical, or jazz and notes the sales for 28 people under these conditions. The following numbers are in dollar amounts per shopper. $\begin{array} { c c c c } \hline \text { No Music } & \text { Soft Rock } & \text { Classical } & \text { Jazz } \\\hline 128 & 57 & 87 & 55 \\101 & 32 & 40 & 24 \\157 & 93 & 21 & 95 \\196 & 35 & 92 & 19 \\163 & 58 & 55 & 60 \\144 & 61 & 59 & 85 \\170 & 82 & 39 & 54 \\\hline\end{array}$
-The degrees of freedom for the numerator (df₁) is

Question

A consumer psychologist wishes to determine whether playing music increases sales. The owner plays no music, soft rock, classical, or jazz and notes the sales for 28 people under these conditions. The following numbers are in dollar amounts per shopper.

\begin{array} { c c c c } \hline \text { No Music } & \text { Soft Rock } & \text { Classical } & \text { Jazz } \\\hline 128 & 57 & 87 & 55 \\101 & 32 & 40 & 24 \\157 & 93 & 21 & 95 \\196 & 35 & 92 & 19 \\163 & 58 & 55 & 60 \\144 & 61 & 59 & 85 \\170 & 82 & 39 & 54 \\\hline\end{array}

-The degrees of freedom for the numerator (df₁) is

Quizplus · Accepted Answer

The degrees of freedom for the numerator in an ANOVA test, which is used to compare the means of more than two groups, is calculated as the number of groups minus one. In this case, there are 4 groups (No Music, Soft Rock, Classical, Jazz), so the degrees of freedom is $4 - 1 = 3$.

A Consumer Psychologist Wishes to Determine Whether Playing Music Increases