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jkenais12
Answered

The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean and standard deviation According to the Empirical Rule, what percentage of the bags will have lengths within 3 standard deviations of the mean?

47.5%

68%

95%

99.7%

Verified Answer :

bcalle

According to the Empirical rule 99.7% of normally distributed data is within 3 standard deviations of the mean.

Answer:

D. 99.7%

Step-by-step explanation:

We are told that the weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean and standard deviation.

Since the empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.

  • Approximately 68% data falls within 1 standard deviation of the mean.
  • Approximately 95% of data falls within 2 standard deviation of the mean.
  • Approximately 99.7% data falls within 3 standard deviation of the mean.

As the weights of 2-pound bags of Best Dog Food are normally distributed, therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.

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