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.
Question: Suppose that a random sample of redwood trees has a sample mean diameter of x¯=24.1 feet, with a sample standard deviation of s=3.7 feet. Since the diameters of redwood trees are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two diameters are approximately 68% of the data?
Question: Suppose a random sample of monthly rainfalls in a given area has a sample mean of x¯=22.2 inches, with a sample standard deviation of s=3.5 inches. Since rainfall amounts in this area are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two amounts are approximately 99.7% of the data?
Question: Suppose a random sample of adult women has a sample mean height of x¯=64.3 inches, with a sample standard deviation of s=2.4 inches. Since height distribution are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two heights are approximately 99.7% of the data?
Question: For the same random sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4inches, use the Empirical Rule to determine the approximate percent of heights that lie between 59.5 inches and 69.1 inches.
Question: Returning to the sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to estimate the percentage of heights that are less than 61.9 inches.
Question: A random sample of males has a sample mean blood volume of x¯=5.2 liters, with a sample standard deviation of s=0.2 liters. Since blood volumes in males are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two volumes are approximately 95% of the data?
Question: A random sample of men's weights have a sample mean of x¯=182.3 pounds and sample standard deviation of s=12.7 pounds. Use the Empirical Rule to determine the approximate percentage of men's weights that lie between 156.9 and 207.7 pounds.
Question: A random sample of waiting times at a bus stop has a sample mean time of x¯=214.6 seconds, with a sample standard deviation of s=29.4 seconds. Since waiting times at this bus stop are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two waiting times are approximately 95% of the data?
Question: Suppose a random sample of monthly temperatures in a given area has a sample mean of x¯=83.2∘F, with a sample standard deviation of s=1.5∘F. Since temperatures in this area are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two temperatures are approximately 99.7% of the data?
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.
Instituition / Term
Term
Summer 2020
Institution
MATH 225N Statistical Reasoning for the Health Sciences
