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use the empirical rule. the mean speed of a sample of vehicles along a …

Question

use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 63 miles per hour, with a standard deviation of 3 miles per hour. estimate the percent of vehicles whose speeds are between 54 miles per hour and 72 miles per hour. (assume the data set has a bell-shaped distribution.)

approximately \\(\square\\)% of vehicles travel between 54 miles per hour and 72 miles per hour.

Explanation:

Identify given parameters

Using the Empirical Rule Percentiles knowledge point

$$ LATEXBLOCK0 $$

Calculate standard deviations from the mean

Using the Empirical Rule Percentiles knowledge point

$$ LATEXBLOCK1 $$

Apply the Empirical Rule

Using the Empirical Rule Percentiles knowledge point

$$ LATEXBLOCK2 $$

Answer:

Approximately <blank>99.7</blank>% of vehicles travel between 54 miles per hour and 72 miles per hour.