A population of data from a dog food company shows that a bag of dog food is kno

Question

A population of data from a dog food company shows that a bag of dog food is known to have a mean weight of 120 ounces. The data also shows a population standard deviation of 2 ounces. The population is known to be bell shaped and symmetrical. Which of the following statements is correct description given what we know from the empirical rule.

A. 68% of the reams will be within 118 and 122 ounces B. 99.7% of the reams will be within 118 ounces and 122 ounces C. 95% of the reams will be within 114 and 126 ounces D. B and C E. A and C

Explanation / Answer

In statistics, the 68–95–99.7 rule is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard ...

So 68% will lie in (118,122)

95% will lie in (116,124)

99.7% will lie in (114,126)

So A is correct answer.

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