**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.

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.)

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

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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.

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Follow-up Questions

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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 ?

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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.

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