The lengths of adult males' hands are normally distributed with mean 194 mm and standard deviation is 7.1 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible.

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
100%

I just need the answer for b

Thank you 

## Sample Problem on Adult Males' Hand Lengths

The lengths of adult males' hands are normally distributed with a mean of 194 mm and a standard deviation of 7.1 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 decimal places where possible.

### Questions
a. What is the distribution of \(\bar{x}\)?

\[
\bar{x} \sim N(\_\_\_\_\_, \_\_\_\_\_)
\]

b. For the group of 7, find the probability that the average hand length is more than 198.

\[
P(\bar{x} > 198) = \_\_\_\_\_
\]

c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places.

\[
Q_1 = \_\_\_\_\_
\]

### Explanation of the Diagrams
The visually represented part of this illustration shows numerical results encased within a combination of rounded rectangles and text fields, indicating areas where you will input values. These forms emphasize the structure required for statistical notation and underscore the incorporation of given data in solving probability-oriented problems. 

**Note**: The lower portion of the image is obscured behind a striped sheet, obstructing part of the instructions and answers input area.
Transcribed Image Text:## Sample Problem on Adult Males' Hand Lengths The lengths of adult males' hands are normally distributed with a mean of 194 mm and a standard deviation of 7.1 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 decimal places where possible. ### Questions a. What is the distribution of \(\bar{x}\)? \[ \bar{x} \sim N(\_\_\_\_\_, \_\_\_\_\_) \] b. For the group of 7, find the probability that the average hand length is more than 198. \[ P(\bar{x} > 198) = \_\_\_\_\_ \] c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. \[ Q_1 = \_\_\_\_\_ \] ### Explanation of the Diagrams The visually represented part of this illustration shows numerical results encased within a combination of rounded rectangles and text fields, indicating areas where you will input values. These forms emphasize the structure required for statistical notation and underscore the incorporation of given data in solving probability-oriented problems. **Note**: The lower portion of the image is obscured behind a striped sheet, obstructing part of the instructions and answers input area.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Single Variable
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
  • 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