Question

Draw a graph to illustrate the Empirical Rule utilizing the symbols μ and σ. Include standardized...

Draw a graph to illustrate the Empirical Rule utilizing the symbols μ and σ. Include standardized values and explain

what is z-score?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The Empirical rule for standard deviation is illustrated by diagram as:

This states that 68% of data lies within 1 standard deviation around the mean, 95% of data lies within 2 standard deviation around the mean and 99.7% of data lies within 99.7% around the mean.

This is often written as 68-95-99.7 rule.

In the image sahown above  μ is the mean and σ is the standard deviation.

Z-score is the standarized score of the dataset values and it is also number of standard deviiation values the dataset value is above or below the mean, which is calculated as:

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The Empirical Rule is based on the standardized normal distribution. Describe how you could use the...
The Empirical Rule is based on the standardized normal distribution. Describe how you could use the Empirical Rule to evaluate the distribution of scores on a national test. You are given the following information for the national test: (1) the population mean = 450 and (2) the population SD = 75. Second, based on the information given above, estimate the range of scores on this test. That is, estimate the low score and the high score on the test. Discuss...
Class scores are normally distributed with a μ= 100 and σ = 16 a) If a...
Class scores are normally distributed with a μ= 100 and σ = 16 a) If a student has a score of 125, what percentage of students have higher scores? Draw the curve and decide where the Z score falls on it. b) If a student has a score of 90, what percentage of students have higher scores? Draw the curve and decide where the Z score falls on it.
A population of values has a normal distribution with μ=153 and σ=39.5 You intend to draw...
A population of values has a normal distribution with μ=153 and σ=39.5 You intend to draw a random sample of size n=196 Find P2, which is the score separating the bottom 2% scores from the top 98% scores. P2 (for single values) = Find P2, which is the mean separating the bottom 2% means from the top 98% means. P2 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using z-scores rounded to...
A population of values has a normal distribution with μ=107μ=107 and σ=44σ=44. You intend to draw...
A population of values has a normal distribution with μ=107μ=107 and σ=44σ=44. You intend to draw a random sample of size n=94n=94. Find P12, which is the score separating the bottom 12% scores from the top 88% scores. P12 (for single values) = Find P12, which is the mean separating the bottom 12% means from the top 88% means. P12 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or...
A population of values has a normal distribution with μ=214.2μ=214.2 and σ=79.6σ=79.6. You intend to draw...
A population of values has a normal distribution with μ=214.2μ=214.2 and σ=79.6σ=79.6. You intend to draw a random sample of size n=122. Find P63, which is the score separating the bottom 63% scores from the top 37% scores. P63 (for single values) = Find P63, which is the mean separating the bottom 63% means from the top 37% means. P63 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or...
A population of values has a normal distribution with μ=220 and σ=3.1. You intend to draw...
A population of values has a normal distribution with μ=220 and σ=3.1. You intend to draw a random sample of size n=114. What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=
A population of values has a normal distribution with μ=159.6 and σ=75.4 You intend to draw...
A population of values has a normal distribution with μ=159.6 and σ=75.4 You intend to draw a random sample of size n=125 What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means (i.e. the standard error)? (Report answer accurate to 2 decimal places.) σ¯x=
[In all cases in which you are asked to illustrate with a graph, be sure to...
[In all cases in which you are asked to illustrate with a graph, be sure to draw it carefully and clearly label all curves and axes.] 1. C = 160 + .6YD = 160 + .6(Y – T) I = 150 G = 150 T = 100 a) Solve for (in order): Y, YD, and C. Show your work. Calculate Z and confirm that Z = Y. b) Draw the goods market equilibrium that corresponds to this solution. Carefully label...
A population of values has a normal distribution with μ=169μ=169 and σ=84.7σ=84.7. You intend to draw...
A population of values has a normal distribution with μ=169μ=169 and σ=84.7σ=84.7. You intend to draw a random sample of size n=157n=157. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯=
A population of values has a normal distribution with μ=190.1μ=190.1 and σ=91.6σ=91.6. You intend to draw...
A population of values has a normal distribution with μ=190.1μ=190.1 and σ=91.6σ=91.6. You intend to draw a random sample of size n=151n=151. a) What is the mean of the distribution of sample means? μ¯x=μx¯= b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯=
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT