Both Questions Please!! **Transcription for Educational Website**---**Problem Statement:**Suppose $ x $ has a normal distribution with $ \sigma = 1.9 $. A random sample of size 70 has a sample mean of $ \bar{x} = 20 $.**Question (a): What conditions are necessary for your calculations? (Select all that apply.)**- [ ] $ \sigma $ is unknown- [x] $ \sigma $ is known- [ ] Uniform distribution of $ x $- [x] Normal distribution of $ x $**Explanation:** The conditions necessary for the calculations are that the standard deviation $ \sigma $ is known and that the distribution of $ x $ is normal. These are checked in the options provided.**Question (b): Find a 95% confidence interval for $ \mu $. What is the margin of error? (Round your answers to two decimal places.)**- **Lower limit:** [ ]- **Upper limit:** [ ]- **Margin of error:** [ ]**Note:** Values and calculations for the confidence interval lower limit, upper limit, and margin of error require input and computation based on the sample statistics provided.---This problem requires understanding of normal distributions, confidence intervals, and the conditions for inference in statistics. Suppose $ x $ has a normal distribution with $ \sigma = 1.1 $. A random sample of size 10 has a sample mean of $ \bar{x} = 50 $.(a) What conditions are necessary for your calculations? (Select all that apply.)- [x] $ \sigma $ is known- [x] normal distribution of $ x $- [ ] uniform distribution of $ x $- [ ] $ \sigma $ is unknown(b) Find a 90% confidence interval for $ \mu $. What is the margin of error? (Round your answers to two decimal places.)- Lower limit: [ ]- Upper limit: [ ]- Margin of error: [ ]

Name: Both Questions Please!! **Transcription for Educational Website**---**
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Description: Both Questions Please!! **Transcription for Educational Website**---**Problem Statement:**Suppose $ x $ has a normal distribution with $ \sigma = 1.9 $. A random sample of size 70 has a sample mean of $ \bar{x} = 20 $.**Question (a): What condi

for first question a) normal distribution of x is required for the test b)95% confidence interval…

Math

Statistics

Suppose x has a normal dstribution with s- 1.9. A random sample of sizn 70 has a sample mean of x- 20. (a) What conditions are necessary for your cakculations? (Seiect all that apply.) 1 is unknown is known uniform distribution of x normal distribution of x (b) Find a 9% contidence interval for mu. What is the margin of error? (Raund your anawers to two decimal places, lower limit upper limt margin of error

Suppose x has a normal dstribution with s- 1.9. A random sample of sizn 70 has a sample mean of x- 20. (a) What conditions are necessary for your cakculations? (Seiect all that apply.) 1 is unknown is known uniform distribution of x normal distribution of x (b) Find a 9% contidence interval for mu. What is the margin of error? (Raund your anawers to two decimal places, lower limit upper limt margin of error

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Topic Video

Question

Both Questions Please!!

**Transcription for Educational Website**

---

**Problem Statement:**

Suppose $ x $ has a normal distribution with $ \sigma = 1.9 $. A random sample of size 70 has a sample mean of $ \bar{x} = 20 $.

**Question (a): What conditions are necessary for your calculations? (Select all that apply.)**

- [ ] $ \sigma $ is unknown
- [x] $ \sigma $ is known
- [ ] Uniform distribution of $ x $
- [x] Normal distribution of $ x $

**Explanation:**
The conditions necessary for the calculations are that the standard deviation $ \sigma $ is known and that the distribution of $ x $ is normal. These are checked in the options provided.

**Question (b): Find a 95% confidence interval for $ \mu $. What is the margin of error? (Round your answers to two decimal places.)**

- **Lower limit:** [ ]
- **Upper limit:** [ ]
- **Margin of error:** [ ]

**Note:**
Values and calculations for the confidence interval lower limit, upper limit, and margin of error require input and computation based on the sample statistics provided.

---

This problem requires understanding of normal distributions, confidence intervals, and the conditions for inference in statistics.

Suppose $ x $ has a normal distribution with $ \sigma = 1.1 $. A random sample of size 10 has a sample mean of $ \bar{x} = 50 $.

(a) What conditions are necessary for your calculations? (Select all that apply.)

- [x] $ \sigma $ is known
- [x] normal distribution of $ x $
- [ ] uniform distribution of $ x $
- [ ] $ \sigma $ is unknown

(b) Find a 90% confidence interval for $ \mu $. What is the margin of error? (Round your answers to two decimal places.)

- Lower limit: [ ]
- Upper limit: [ ]
- Margin of error: [ ]

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