(a) Construct a 95% confidence interval about if the sample size, n, is 35. Lower bound: 16.75; Upper bound: 20.05 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about μ if the sample size, n, is 61. Lower bound: 17.17; Upper bound: 19.63 (Use ascending order. Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A simple random sample of size n is drawn. The sample mean, \(\bar{x}\), is found to be 18.4, and the sample standard deviation, s, is found to be 4.8.

- A link is provided to view the table of areas under the t-distribution.

---

### (a)
Construct a 95% confidence interval about \(\mu\) if the sample size, n, is 35.

- **Lower bound:** 16.75; **Upper bound:** 20.05  
  *(Use ascending order. Round to two decimal places as needed.)*

### (b)
Construct a 95% confidence interval about \(\mu\) if the sample size, n, is 61.

- **Lower bound:** 17.17; **Upper bound:** 19.63  
  *(Use ascending order. Round to two decimal places as needed.)*

- **Question:** How does increasing the sample size affect the margin of error, E?
  - **A.** The margin of error increases.
  - **B.** The margin of error decreases. *(Correct)*
  - **C.** The margin of error does not change.

### (c)
Construct a 99% confidence interval about \(\mu\) if the sample size, n, is 35.

- **Lower bound:** [ ]
- **Upper bound:** [ ]  
  *(Use ascending order. Round to two decimal places as needed.)*
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, \(\bar{x}\), is found to be 18.4, and the sample standard deviation, s, is found to be 4.8. - A link is provided to view the table of areas under the t-distribution. --- ### (a) Construct a 95% confidence interval about \(\mu\) if the sample size, n, is 35. - **Lower bound:** 16.75; **Upper bound:** 20.05 *(Use ascending order. Round to two decimal places as needed.)* ### (b) Construct a 95% confidence interval about \(\mu\) if the sample size, n, is 61. - **Lower bound:** 17.17; **Upper bound:** 19.63 *(Use ascending order. Round to two decimal places as needed.)* - **Question:** How does increasing the sample size affect the margin of error, E? - **A.** The margin of error increases. - **B.** The margin of error decreases. *(Correct)* - **C.** The margin of error does not change. ### (c) Construct a 99% confidence interval about \(\mu\) if the sample size, n, is 35. - **Lower bound:** [ ] - **Upper bound:** [ ] *(Use ascending order. Round to two decimal places as needed.)*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
**Question:**

Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?

**Options:**

- **A.** The margin of error increases.
- **B.** The margin of error does not change.
- **C.** The margin of error decreases.
Transcribed Image Text:**Question:** Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? **Options:** - **A.** The margin of error increases. - **B.** The margin of error does not change. - **C.** The margin of error decreases.
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman