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.
In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations of the mean, respectively
In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean. Specifically, no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean (or equivalently, at least 1 − 1/k2 of the distribution's values are within k standard deviations of the mean). The rule is often called Chebyshev's theorem, about the range of standard deviations around the mean, in statistics.
In the empirical sciences the so-called the empirical rule expresses a conventional heuristic that nearly all values are taken to lie within three standard deviations of the mean, and thus it is empirically useful to treat 99.7% probability as near certainty.[1] The usefulness of this heuristic depends significantly on the question under consideration. In the social sciences, a result may be considered "significant" if its confidence level is of the order of a two-sigma effect (95%), while in particle physics, there is a convention of a five-sigma effect (99.99994% confidence) being required to qualify as a discovery.
In practical usage, in contrast to the 68–95–99.7 rule, which applies to normal distributions, Chebyshev's inequality is weaker, stating that a minimum of just 75% of values must lie within two standard deviations of the mean and 89% within three standard deviations.
What is the Empirical Rule? How does it differ from Chebyshev's? What do these two rules...
Need help on how to do question 7! MTH 243 2.5 The Empirical Rule and Chebyshev's Theorem-Saylor 6. A population data set with a bell shaped distribution has mean p-6 and standard deviation ơ-2. Find the approximate proportion of observations in the data set that lie: a. between 4 and 8 b. between 2 and 10; c. between 0 and 12. 7. A population data set with a bell-shaped distribution has mean -2 and standard deviation a -1.1. Find the...
b) If the sample size is 150, by Chebyshev's rule, at least how many measurements are in the interval within two SDV of the mean? Show your reason or work. c) If the sample size is 150 and we assume the data set is mound shaped, by empirical rule, approximately how many measurements is beyond the interval two SDV of the mean? Show your reason or work. That means, they are either belowor above
1.How does Keynes differ in his view on Say’s Law from the classical economists? 2.What is the difference between an open economy and a closed economy? 3.True or False Consumption is the smallest part of TE. 4.Our economy is at a decrease of $400 billion dollars from our natural real GDP. What is the state of the economy? What does Keynesian economist believe should be done? The government increases its spending $70 billion dollars. At the same time, consumption decreases...
Chebyshev's rule to make estimates: How do I figure out how many observations? Question A quantitative data set of size 100 has mean 40 and standard deviation 3. At least how many observations lie between 34 and 46? At leastobservations lie between 34 and 46. (Round up to the nearest whole number.)
What do you understand by market structure and how does the four market structures differ from each other in terms of 1) Product type, pricing, non-price competition, entry and exit, and number of firms? What are the reasons why a monopolist will practice price discrimination? Cite the source of your information and also respond to a post. Read through your post before posting.
How do IFRS rules differ from U.S. GAAP (if at all). How would the reporting of stock dividend change under using IFRS rules?
Murder is a crime. How does murder differ from euthanasia? Do the courts treat the two differently? Apply them to your real life experiences, society or how you may act in that case. Please go in depth with response
How do the rules applied to a cost matrix differ from those applied to a profit matrix?
please typing not with hand writing and the minimum of 250 word make sure its 250 thank you Week 6 Discussion (Families and Chances of Divorce) Hi Everyone, Please participate in the following Discussion on Chapter 11: Families and Intimate Relationships, This chapter discusses the concept of living together to help reduce the chances of divorce. Share with me if you feel that this would be a valid argument and what does the text state about this idea? Does it...
3. How does the fluorescence of nonspecifc reporter dyes differ in the presence of single-stranded DNA versus double-stranded DNA? 4. What does the melt curve analysis for your lab section tell you about the DNA amplifcation products present in the QPCR reactions performed by your section? 3. How does the fluorescence of nonspecifc reporter dyes differ in the presence of single-stranded DNA versus double-stranded DNA? 4. What does the melt curve analysis for your lab section tell you about the...