Six Sigma Green Belt Certification Practice Exam

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Prepare for your Six Sigma Green Belt Certification Exam with confidence. This exam is a critical step in enhancing your career prospects in quality management and process improvement. Tackle interactive questions with hints and explanations and ace your certification!

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You create a scatter diagram of the amount of snowfall against the number of skis sold. What does a correlation coefficient of 0.9 indicate?

  1. An increase in the amount of snowfall causes a reduction in the number of skis sold

  2. An increase in the amount of snowfall causes an increase in the number of skis sold

  3. When the amount of snowfall increases, the number of skis sold decreases

  4. When the amount of snowfall increases, the number of skis sold increases

The correct answer is: When the amount of snowfall increases, the number of skis sold increases

A correlation coefficient of 0.9 indicates a strong positive relationship between the two variables being studied—in this case, the amount of snowfall and the number of skis sold. This means that as the amount of snowfall increases, the number of skis sold tends to also increase. A correlation coefficient close to +1 signifies that the two variables move in the same direction. Therefore, when one goes up, the other typically goes up as well, which aligns with the provided answer. The strong positive correlation suggests that higher snowfall could lead to greater sales of ski equipment, likely due to increased interest in winter sports during snowy conditions. The other options imply relationships that contradict the interpretation of a positive correlation. For instance, stating that an increase in snowfall causes a reduction in the number of skis sold or that snowfall leads to a decrease in ski sales would suggest a negative correlation, which is not supported by a coefficient of 0.9. Thus, understanding the concept of correlation and its numerical value is crucial for interpreting the data accurately.

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