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What’s Wrong? In Exercises 25–28, identify what is wrong.

Motorcycles and Sour Cream: In recent years, there has been a strong correlation between the per capita consumption of sour cream and the number of motorcycle riders killed in non-collision accidents. Therefore, consumption of sour cream causes motorcycle fatalities.

Short Answer

Expert verified

Correlation cannot assure the cause of the relationship.

Step by step solution

01

Given information

Two variables are strongly correlated:

  • Per capita consumption of sour cream
  • Motorcycle riders killed in non-collision accidents
02

Correlation interpretation

Two strongly correlated variables show a very strong linear pattern of association. Thus, the slope of the line that describes the relationship between two variables has a steep measurement.

03

Identifying the wrong element in the survey

If one variable is correlated with another, it does not guarantee that one can cause changes in the other.

In the study, it is known that consumption of sour cream is strongly related to non-collision accidents. However, it does not imply that consumption of sour cream causes motorcycle fatalities.

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Most popular questions from this chapter

In Exercises 21–24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.

Source of the Data Considering the source of the data, does that source appear to be biased in some way?

In Exercises 21–24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.

Subject


12345
White8.75.97.36.25.9
Red4.915.594.444.85.17

Given the context of the data in the table, what issue can be addressed by conducting a statistical analysis of the measurements?

Falsifying Data A researcher at the Sloan-Kettering Cancer Research Center was once criticized for falsifying data. Among his data were figures obtained from 6 groups of mice, with 20 individual mice in each group. The following values were given for the percentage of successes in each group: 53%, 58%, 63%, 46%, 48%, 67%. What’s wrong with those values?

In Exercises 17–20, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from a data set in Appendix B.)

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Determine whether the given source has the potential to create a bias in a statistical study.

Physicians Committee for Responsible Medicine. The Physicians Committee for Responsible Medicine tends to oppose the use of meat and dairy products in our diets and that organization has received hundreds of thousands of dollars in funding from the Foundation to Support Animal Protection.

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