A useful rule of thumb generally used when statistically treating known normally distributed data is the...
For normally distributed data, what is the probability that a data point wil fall within one standard deviation of the mean? (i) 50% (ii) 68% 0 (iii) 95% (iv) 99.7% s save Submt Assignment For normally distributed data, what is the probability that a data point will fall within one standard deviation of the mean? 0 (i) 50% @ (u) 68% 0 (m) 95% (w) 99.7% Subme Assignment Quit& Save 6
data valu es in a 7. The 68-95-99.7 rule for normal distributions states that 95% of the mally distributed data set will be within 2 standard deviations of the mear Generate numbers with a distribution that has fewer than 95% of the data values within 2 standard deviations of the mean. Can you generate a set that has many fewer than 95% of the data values within 2 standard deviations of the mean? How small can you make that percentage?...
In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what percentage of the data would be between 17.9 and 26.1? a)95% based on the Empirical Rule b)99.7% based on the Empirical Rule c)68% based on the Empirical Rule d)68% based on the histogram
(2 points) Suppose we have a normally-distributed population that has a mean of 65 and a standard deviation of 5. 5. (a) What percent of observations will fall in the interval from 55 to 75? (Hint: Find out how many standard deviations the range spans on both sides of the mean and use the 68/95/99.5 rule) (b) What percent of observations will fall in the interval from 60 to 70?
Use the 68-95-99.7 rule to solve: The amount of Jen's monthly phone bill is normally distributed with a mean of $48 and a standard deviation of $6. Fill in the blanks. 95% of her phone bills are between $ and $ .
Suppose a normally distributed set of data has a mean of 172 and a standard deviation of 15. Use the 68-95-99.7 rule to determine the percent of scores in the data set expected to be between the scores 142 and 187. Give your answer in decimal form and keep all decimal places throughout your calculations and in your final answer.
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...
1. According to the empirical rule, in a normally distributed set of data, approximately what percent of the scores will be within 1 standard deviation (-1 to +1) away from the mean? 40% 95% 68% 75% 2. f you took an IQ test and your score was 2 standard deviations above average, assuming normal distribution, approximately what percent of all IQ test takers would your score be higher than? 98% 60% 70% 80% 3. if you took an IQ test...
Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between z=−1.4z=-1.4 and z=1.4z=1.4 standard deviations of the mean (or within 1.4 standard deviations of the mean). What percent of the data points will fall in that range?
mpirical Rule data set which is mound-shaped or approximately mound-sha Forroximately normal), the following statements will hold: 68% of the observations will lie within μ ~95% of the observations will lie within μ -99.7% of the observations will lie within (i.e., normal or app σ 2σ . 3 . Consider a r.v., Z, with a standard normal distribution. We can co Empirical Rule using the Standard Normal Table. nfirm each of the statements in the Note,' Since Z ~ N...