A sample of size n = 51 is drawn from a population whose standard deviation is o = 47. Part 1 of 2 (a) Find the margin of error for a 90% confidence interval for μ. Round the answer to at least three decimal pla The margin of error for a 90% confidence interval for u is Part 2 of 2 X (b) If the sample size were n= 72, would the margin of error be larger or smaller? (Choose one) ▼ because the sample size is (Choose one) ▼ X

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
**Exercise: Calculating Margin of Error**

A sample of size \( n = 51 \) is drawn from a population whose standard deviation is \( \sigma = 47 \).

**Part 1 of 2**

(a) Find the margin of error for a 90% confidence interval for \( \mu \). Round the answer to at least three decimal places.

The margin of error for a 90% confidence interval for \( \mu \) is \(\_\_\_\_\).

**Part 2 of 2**

(b) If the sample size were \( n = 72 \), would the margin of error be larger or smaller?

\[ \text{(Choose one)} \], because the sample size is \[ \text{(Choose one)} \].

*[Submit Assignment]* button is shown at the bottom of the page.

This exercise is designed to help students understand how the margin of error changes with different sample sizes and confidence levels.
Transcribed Image Text:**Exercise: Calculating Margin of Error** A sample of size \( n = 51 \) is drawn from a population whose standard deviation is \( \sigma = 47 \). **Part 1 of 2** (a) Find the margin of error for a 90% confidence interval for \( \mu \). Round the answer to at least three decimal places. The margin of error for a 90% confidence interval for \( \mu \) is \(\_\_\_\_\). **Part 2 of 2** (b) If the sample size were \( n = 72 \), would the margin of error be larger or smaller? \[ \text{(Choose one)} \], because the sample size is \[ \text{(Choose one)} \]. *[Submit Assignment]* button is shown at the bottom of the page. This exercise is designed to help students understand how the margin of error changes with different sample sizes and confidence levels.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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