need some help on this please ### Understanding the Normal Distribution: Applying the 68-95-99.7 RuleSuppose a normally distributed set of data has a mean of 150 and a standard deviation of 17. **Use the 68-95-99.7 rule to determine the percent of scores in the data set expected to be between the scores 116 and 167**.To address this, keep in mind the following key points regarding the 68-95-99.7 Rule (Empirical Rule):1. **68% of the data** falls within 1 standard deviation of the mean.2. **95% of the data** falls within 2 standard deviations of the mean.3. **99.7% of the data** falls within 3 standard deviations of the mean.### Example Calculation:- **Mean ($\mu$)** = 150- **Standard Deviation ($\sigma$)** = 17Using the formula $ \mu \pm n\sigma $:- **1 standard deviation ($\mu \pm \sigma$)**: $150 \pm 17$ which gives (133, 167).- **2 standard deviations ($\mu \pm 2\sigma$)**: $150 \pm 2 \times 17$ which gives (116, 184).- **3 standard deviations ($\mu \pm 3\sigma$)**: $150 \pm 3 \times 17$ which gives (99, 201).To find the percent of scores between 116 and 167:- 116 is $2\sigma$ below the mean: $\mu - 2\sigma$ = $150 - 34 = 116$- 167 is $1\sigma$ above the mean: $\mu + 1\sigma$ = $150 + 17 = 167$**Conclusion:**Using the 68-95-99.7 Rule:- Between $\mu - 2\sigma$ and $\mu + \sigma$: which accounts for data from (116) to (167) - This range includes the following: - From $\mu - 2\sigma$ to $\mu$ = 95%/2 = 47.5% - From $\mu$ to \(\mu + \sigma

Name: need some help on this please ### Understanding the Normal Distributio
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: need some help on this please ### Understanding the Normal Distribution: Applying the 68-95-99.7 RuleSuppose a normally distributed set of data has a mean of 150 and a standard deviation of 17. **Use the 68-95-99.7 rule to determine the percent of sc

Assume, X be the random variable representing the data values. It is mentioned that X follows…

Math

Statistics

Suppose a normally distributed set of data has a mean of 150 and a standard deviation of 17. Use the 68-95-99.7 rule to determine the percent of scores in the data set expected to be between the scores 116 and 167. You must draw a picture of the normal curve and shade the area you are

Suppose a normally distributed set of data has a mean of 150 and a standard deviation of 17. Use the 68-95-99.7 rule to determine the percent of scores in the data set expected to be between the scores 116 and 167. You must draw a picture of the normal curve and shade the area you are

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A. Two golfing venues offer bays that customers con reserve to play various golf ing games. The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Level 4: Mastery 9. Create the graph of a function where the following statements are true A…

A: Consider the statements : f(0)=0f(5)=-2x>-3-5<y≤4

Q: Hey, wondering if I could get some help with this problem?

A: The expectation of a continuous random variable X is given by EX=∫-∞∞xfxdx. Where,fx is the…

Q: Consider the general Leslie matrix L. It was shown in the proof of Theorem 36.1 that is an…

A: The net reproduction rate, denoted as R, is defined as:Now, let's interpret this expression in terms…

Q: Please show all work

Q: and make it clear

A: y=3sin(2x)5cos(4x)

Q: can you please write it out clearer?

A: Let X denote the number of cars that approach this intersection follows a Poisson distributionλ=1.6…

Q: Can you answer this

A: Solution and Explanation is given below....

Q: Please answer the wrong answer and show the work.

Q: please check my work for this problem. thank you.

A: Yes your work is correct. Well done.

Q: I need help solving these

A: From the provided information, The total male students = 776,281 Total students who received degrees…

Q: Let f be the exponential function defined by (2+2) f(2) = () and determine the folloving information…

Q: Can you help me solve this?

Q: This has nothing on it, I still need help

Q: Please help with this problem

A: Given that to enhance fishing, 100 trout were initially put in a small lake. The growth rate is…

Q: Hospital re-admissions for patients with congestive heart failure (CHF) are relatively common and…

A: If p-value > significance level, we failed to reject Null Hypothesis if p-value < significance…

Q: Can you help me and explain this a little better

A: Here, the objective is to find the area function for Kite.

Q: Can you show me how you converted that?

A: Hurricane Ian has broken many records one is the amount of rain fall. Ian dumped 2.4feet of rain in…

Q: I need to see the work written out please.

Q: Also need help completing this

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Can you answer this question please?

A: Hey, since there is multiple sub part questions posted, we will answer first three sub part…

Q: can i please see it written out?

A: Solution

Q: R Diagram 5/Rajah 5

Q: can you do the rest of the missing parts

A: Since you have posted multiple questions, we will provide the solution only to the second…

Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

Topic Video

Question

need some help on this please

### Understanding the Normal Distribution: Applying the 68-95-99.7 Rule

Suppose a normally distributed set of data has a mean of 150 and a standard deviation of 17. **Use the 68-95-99.7 rule to determine the percent of scores in the data set expected to be between the scores 116 and 167**.

To address this, keep in mind the following key points regarding the 68-95-99.7 Rule (Empirical Rule):
1. **68% of the data** falls within 1 standard deviation of the mean.
2. **95% of the data** falls within 2 standard deviations of the mean.
3. **99.7% of the data** falls within 3 standard deviations of the mean.

### Example Calculation:
- **Mean ($\mu$)** = 150
- **Standard Deviation ($\sigma$)** = 17

Using the formula $ \mu \pm n\sigma $:
- **1 standard deviation ($\mu \pm \sigma$)**: $150 \pm 17$ which gives (133, 167).
- **2 standard deviations ($\mu \pm 2\sigma$)**: $150 \pm 2 \times 17$ which gives (116, 184).
- **3 standard deviations ($\mu \pm 3\sigma$)**: $150 \pm 3 \times 17$ which gives (99, 201).

To find the percent of scores between 116 and 167:
- 116 is $2\sigma$ below the mean: $\mu - 2\sigma$ = $150 - 34 = 116$
- 167 is $1\sigma$ above the mean: $\mu + 1\sigma$ = $150 + 17 = 167$

**Conclusion:**
Using the 68-95-99.7 Rule:
- Between $\mu - 2\sigma$ and $\mu + \sigma$: which accounts for data from (116) to (167)
- This range includes the following:
- From $\mu - 2\sigma$ to $\mu$ = 95%/2 = 47.5%
- From $\mu$ to \(\mu + \sigma

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Data Collection, Sampling Methods, and Bias$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Please help me with this question
Can you answer this please
I can't read this handwriting at all.
Can I get some help answer this?
i need worked out solution
Can you please help me solve this?