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In: Statistics and Probability

7. Loaves of bread in a certain bakery are approximately normally distributed with a mean length...

7. Loaves of bread in a certain bakery are approximately normally distributed with a mean length of 32 centimeters and a standard deviation of 2 centimeters.

  1. If a loaf is 34 centimeters long, how many standard deviation(s) is it from the mean? Show all work. (2 points)

  1. If a loaf is 28 centimeters long, how many standard deviation(s) is it from the mean? Show all work. (2 points)

  1. What percentage of the loaves are expected to be between 30 to 34 centimeters in length? Explain. (2 points)
  1. What percentage of the loaves are expected to be between 28 to 36 centimeters in length? Explain. (2 points)
  1. If the baker found out that one of the loaves turned out to be 40 centimeters long, is that considered an outlier? Explain. (2 points)

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