(Answered)MATH225N Week 5 Assignment:Understanding the Empirical Rule

Question

A random sample of CO2 levels in a school has a sample mean of x¯=598.4 ppm and sample standard deviation of s=86.7 ppm.  Use the Empirical Rule to determine the approximate percentage of CO2 levels that lie between 338.3 and 858.5 ppm.

Round your answer to the nearest tenth.

 

Question

A random sample of small business stock prices has a sample mean of x¯=$54.82 and sample standard deviation of s=$8.95.  Use the Empirical Rule to estimate the percentage of small business stock prices that are more than $81.67.

Round your answer to the nearest hundredth.

 

Question

A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles.  Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles.

Round your answer to the nearest whole number (percent).

 

Question

A random sample of hybrid vehicle fuel consumptions has a sample mean of x¯=53.2 mpg and sample standard deviation of s=4.8 mpg.  Use the Empirical Rule to estimate the percentage of hybrid vehicle fuel consumptions that are less than 43.6 mpg.

Round your answer to the nearest tenth.

 

Solution:

Question

A random sample of CO2 levels in a school has a sample mean of x¯=598.4 ppm and sample standard deviation of s=86.7 ppm.  Use the Empirical Rule to determine the approximate percentage of CO2 levels that lie between 338.3 and 858.5 ppm.

Round your answer to the nearest tenth.

Correct answer: 99.7

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