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A store sells meat in small, medium and large size
packages. the small packages have a mean weight of 1
pound and a standard deviation of 0.1 pound. if the
weights for the small packages of meat are approximately
normally distributed, about 95% of the data falls between
which two values?
a. 0.8 and 1.2
b. 0.9 and 1.1
c. 0.8 and 1.1
d. 0.7 and 1.3

Respuesta :

Using the Empirical Rule, it is found that the values between which 95% of the data falls are given by:

a. 0.8 and 1.2.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Considering the mean of 1 pound and the standard deviation of 0.1 pounds, 95% of the data is between:

1 - 2 x 0.1 = 0.8 pounds and 1 + 2 x 0.1 = 1.2 pounds.

Hence option A is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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