SolutionA:
Empirical rule can be applied if given sampling distribution xbar follows normal distribution
SolutionB:
X is a random variable
N is a notation that follows normal distribution
with mean=
and standard deviation=
SolutionC:
X bar sample mean
N says follows normal distribution
with sample mean=xbar
and sample standard deviation=
1) In a problem, what lets you know to use the Empirical Rule 68% - 95%-...
The Empirical Rule is also known as the 68-95-99.7 Rule. Use the Z-score table to find what each of these numbers really is. To assist you, include a sketch and a probability expression for each case. Please show your work, thanks.
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...
Use the 68-95-99.7 rule to solve the problem. Assume that a distribution has a mean of 29 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall between 29 and 377 25% 5% 47.5% 95%
Use the 68-95-99.7 rule to solve the problem. Assume that a distribution has a mean of 21 and a standard deviation of 4. What percentage of the values in the distribution do we ex between 17 and 217 25% 34% 68% ОО 17% Question 35 of 40
Use the 68-95-99.7 rule to solve the problem. Assume that a distribution has a mean of 29 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall between 29 and 37? 95% 5% 25% 47.5% Click comnloto this accorcmont
Using only the 68-95-99.7 rule answer the following question. Let the variable Z be a z-score of a normal distribution. Calculate P(Z ≤ 3). Draw a picture of the situation first. Shade the area that corresponds to the desired proportion being sought. Please explain how you would use the 68-95-99.7 rule to solve this. If you can, how would you solve this using technology rather than the rule?
2.5 points Use the 68-95-99.7 rule to solve the problem. Assume that a distribution has a mean of 21 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall between 17 and 212 68% 25% 17% 34%
11. In this exercise, you will learn about the 68-95-99.7 rule: Take the normal random variable X-N (14,'). (a) What is P(x-o <x<*+)? Hint: convert to Z. Draw the normal curve and shade in the corresponding probability. Answer: 0.683 (b) What is P(x - 20 < x < 1 + 20 )? Hint: convert to Z. Draw the normal curve and shade in the corresponding probability. Answer: 0.954 (c) What is P(x - 30 < X <H+ 30 )? Hint:...
Save Answer Question 38 25 points Use the 68-95-99.7 rule to solve the problem. Assume that a distribution has a mean of 21 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall between 17 and 21? 174 34 2516 68%
Use the 68-95-99.7 rule to approximate what proportion of observations in N(70,5) distribution fall between 70 and 80. (Show your answer in percentage.)