The Empirical Rule or the
3-sigma rule states that for a
Normal Probability Distribution, most of the data would
lie within 3 standard
deviations of the mean.
The rule depicts that :
What is the Empirical Rule? How does it differ from Chebyshev's? What do these two rules tell us about our data? Make sure you respond to your classmates as well.
1) In a problem, what lets you know to use the Empirical Rule 68% - 95%- 99.76? Remember, Empirical Rule is a shortcut for X-Z-Table problems and X -Z-Table problems. 2) What key word(s) in a problem tell you to use the Normal Distribution X~ N (4, o)? 3) What key word(s) in a problem tell you to use The Sampling Distribution of the Sample Mean X~ N
Q2. The applications of the 68%-95%-99.7% Empirical Rule and Chebbysheff's Theorem (1) Please use your words to explain what is the 68%-95%-99.7% empirical rule. (2) Please use your words to explain what is the Chebbysheff’s Theorem. (3) Now, suppose there is a normally distributed data set with the mean of 30 and the standard deviation of 5, what can you say about the proportions of observations that lie between each of the following intervals: (i) 25 and 35? (ii) 20...
n of 15. Using the empirical rule, what percentage of IQ scores are between 90 and 120
3. Based on the descriptive statistics, the histogram, and the empirical rule, does it appear that the box weights follow a normal distribution with a symmetrical, bell-shaped curve? Justify your response with your data analysis Information for the problem: The expected mean is set at 20.2 ounces for box weights and the expeted standard deviation is .1 ounces. The actual mean is 20.597 and the actual standard deviation is .305. Also, The company sets the weight slightly higher than the...
For each binomial experiment below, tell if the Empirical Rule applies. If the rule does apply, illustrate it by filling in the blanks below. (Special weighting) a.) A person spins a 1-2 spinner 10 times and counts the number of times it lands 1 b.) A person spins a 1-2 spinner 50 times and counts the number of times it lands 2.
using the empirical rule: your data has an average of 142 and sd of 16, what percent o data is between 110 and 200
According to the empirical rule, in a normal distribution, about what proportion of values falls within 1 standard deviation from the mean? a)68% 34% b)at least 75% c)100%
According to the Empirical Rule, what percentage of a normal population falls between 2 standard deviations left of the mean and 3 standard deviations right of the mean?
Use empirical rule for a distribution with a mean of 50 and a standard deviation of 5. What is the approximate percentage of the values will fall between 35 and 60?