Dart-throwing errors. How accurate are you at the game of darts? Researchers at Iowa State...

Dart-throwing errors. How accurate are you at the game of darts? Researchers at Iowa State University attempted to develop a probability model for dart throws (Chance, Summer 1997). For each of 590 throws made at certain targets on a dart board, the distance from the dart to the target point was measured (to the nearest millimeter). The error distribution for the dart throws is described by the frequency table shown at the bottom of the page.

a. Construct a histogram of the data. Is the error distribution for the dart throws approximately normal?

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b. Descriptive statistics for the distances from the target for the 590 throws are as follows:

Use this information to decide whether the error distribution is approximately normal.

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c. Construct a normal probability plot of the data, and use it to assess whether the error distribution is approximately normal.