Questions: For each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable. Variable Type of Variable (a) Price (in dollars) of a shirt on the clearance rack O Quantitative (b) Customer satisfaction rating (very satisfied, somewhat satisfied, somewhat dissatisfied, or very dissatisfied) O Quantitative (c) Favorite TV game show O Categorical (d) Native language O Quantitative

For each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable.
Variable  Type of Variable
(a) Price (in dollars) of a shirt on the clearance rack  O Quantitative
(b) Customer satisfaction rating (very satisfied, somewhat satisfied, somewhat dissatisfied, or very dissatisfied)  O Quantitative
(c) Favorite TV game show  O Categorical
(d) Native language  O Quantitative
Transcript text: For each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable. \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Variable } & \begin{tabular}{c} Type of \\ variable \end{tabular} \\ \hline (a) Price (in dollars) of a shirt on the clearance rack & O Quantitative \\ \hline (b) Customer satisfaction rating (very satisfied, somewhat satisfied, somewhat dissatisfied, or very \\ \hline dissatisfied) & O Quantitative \\ \hline (c) Favorite TV game show & O Categorical \\ \hline (d) Native language & O Quantitative \\ \hline \end{tabular}
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Solution

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Solution Steps

To determine whether a variable is quantitative or categorical, we need to understand the nature of the data it represents. Quantitative variables are numerical and can be measured, while categorical variables represent categories or groups.

  1. Price (in dollars) of a shirt on the clearance rack: This is a numerical value that can be measured, so it is a quantitative variable.
  2. Customer satisfaction rating (very satisfied, somewhat satisfied, somewhat dissatisfied, or very dissatisfied): These are categories representing different levels of satisfaction, so it is a categorical variable.
  3. Favorite TV game show: This represents different categories of TV shows, so it is a categorical variable.
Step 1: Determine the Type of Variable for Each Item

To determine whether a variable is quantitative or categorical, we need to understand the nature of the data it represents. Quantitative variables are numerical and can be measured, while categorical variables represent categories or groups.

Step 2: Analyze Each Variable
  1. Price (in dollars) of a shirt on the clearance rack: This is a numerical value that can be measured, so it is a quantitative variable.
  2. Customer satisfaction rating (very satisfied, somewhat satisfied, somewhat dissatisfied, or very dissatisfied): These are categories representing different levels of satisfaction, so it is a categorical variable.
  3. Favorite TV game show: This represents different categories of TV shows, so it is a categorical variable.

Final Answer

  1. Price (in dollars) of a shirt on the clearance rack: \(\boxed{\text{Quantitative}}\)
  2. Customer satisfaction rating (very satisfied, somewhat satisfied, somewhat dissatisfied, or very dissatisfied): \(\boxed{\text{Categorical}}\)
  3. Favorite TV game show: \(\boxed{\text{Categorical}}\)
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