High School

Using the 68-95-99.7 rule, what portion of the hourly wages are between $11.60 and $15.20 in the crane operations department?

Answer :

Final answer:

The 68-95-99.7 rule in statistics indicates percentage of values within certain standard deviations from the mean in a normal distribution. To apply it, we need the mean and standard deviation data. For example, if mean wage is $13.40 and standard deviation is $1.80, wages between $11.60 and $15.20 would represent about 68% of the wage distribution.

Explanation:

The 68-95-99.7 rule, also known as the empirical rule, is a shorthand used in statistics to remember the percentage of values that lie within a certain number of standard deviations from the mean in a normal distribution. To apply this rule to your question, it must be given that the hourly wages of crane operators are normally distributed and we must also have the mean and standard deviation wage values. Without these values, we can't apply the rule.

For instance, suppose the mean wage value is $13.40, with a standard deviation of $1.80, values within one standard deviation of the mean (so between $11.60 and $15.20) would encapsulate approximately 68% of the wage distribution. But remember, you need the mean and standard deviation data to apply the 68-95-99.7 rule. Without these, we cannot provide a definite answer.

Learn more about Empirical Rule here:

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