Suppose that a recent poll found that 41% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 250 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is (Round to the nearest whole number 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
**Title: Understanding Statistical Analysis Through Moral Values Poll**

**Introduction:**
A recent poll indicates that 41% of adults believe that the overall state of moral values is poor. In this exercise, we will analyze a sample of adults to understand more about this belief.

**Problem Statement:**
Suppose a recent poll found that 41% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c).

**Part (a): Statistical Analysis for a Random Sample**

- **Objective:** For 250 randomly selected adults, compute the mean and standard deviation of the random variable X, which represents the number of adults who believe that the overall state of moral values is poor.

- **Steps to Solve:**
  1. **Calculate the Mean (Expected Value) of X:**
     - Use the formula for the mean of a binomial distribution: \( \mu = n \cdot p \) 
     - Here, \( n = 250 \) (the sample size) and \( p = 0.41 \) (the probability that an adult believes the moral values are poor).

  2. **Compute the Result:**
     - The mean \( \mu \) is found by multiplying 250 by 0.41.
     - Provide the result rounded to the nearest whole number.

**Additional Information:**
The subsequent parts of this analysis would likely involve calculating the standard deviation and interpreting these statistics in a real-world context, although they are not detailed in this excerpt.

Upon completion, students will gain a better understanding of how statistical methods can be applied to survey data to draw meaningful conclusions about public opinion.
Transcribed Image Text:**Title: Understanding Statistical Analysis Through Moral Values Poll** **Introduction:** A recent poll indicates that 41% of adults believe that the overall state of moral values is poor. In this exercise, we will analyze a sample of adults to understand more about this belief. **Problem Statement:** Suppose a recent poll found that 41% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). **Part (a): Statistical Analysis for a Random Sample** - **Objective:** For 250 randomly selected adults, compute the mean and standard deviation of the random variable X, which represents the number of adults who believe that the overall state of moral values is poor. - **Steps to Solve:** 1. **Calculate the Mean (Expected Value) of X:** - Use the formula for the mean of a binomial distribution: \( \mu = n \cdot p \) - Here, \( n = 250 \) (the sample size) and \( p = 0.41 \) (the probability that an adult believes the moral values are poor). 2. **Compute the Result:** - The mean \( \mu \) is found by multiplying 250 by 0.41. - Provide the result rounded to the nearest whole number. **Additional Information:** The subsequent parts of this analysis would likely involve calculating the standard deviation and interpreting these statistics in a real-world context, although they are not detailed in this excerpt. Upon completion, students will gain a better understanding of how statistical methods can be applied to survey data to draw meaningful conclusions about public opinion.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Would it be unusual if 89 of the 250
adults surveyed believe that the overall state of moral values is​ poor?
 
Yes or  No ?
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
Suppose that a recent poll found that 41% of adults believe that the overall state of moral values is poor.
Complete parts (a) through (c).
(a) For 250 randomly selected adults, compute the mean and standard deviation of the random variable X,
the number of adults who believe that the overall state of moral values is poor.
The mean of X is 103. (Round to the nearest whole number as needed.)
The standard deviation of X is 7.8. (Round to the nearest tenth as needed.)
(b) Interpret the mean. Choose the correct answer below.
O A. For every 103 adults, the mean is the maximum number of them that would be expected to believe that the
overall state of moral values is poor.
OB. For every 250 adults, the mean is the number of them that would be expected to believe that the overall state
of moral values is poor.
OC. For every 250 adults, the mean is the range that would be expected to believe that the overall state of moral
values is poor.
OD. For every 250 adults, the mean is the minimum number of them that would be expected to believe that the
overall state of moral values is poor.
Transcribed Image Text:Suppose that a recent poll found that 41% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 250 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is 103. (Round to the nearest whole number as needed.) The standard deviation of X is 7.8. (Round to the nearest tenth as needed.) (b) Interpret the mean. Choose the correct answer below. O A. For every 103 adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor. OB. For every 250 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. OC. For every 250 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. OD. For every 250 adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor.
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