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Neveah surveys 94 students at random to determine the proportion of students who have attended Mt. San Jacinto College for more than two years. Suppose that, in reality, 58% of students have attended for more than two years. 1. How are the collection of all sample proportions of samples of size 94 distributed? NO 2. What is the probability that fewer than 47% of students in Neveah's sample have been enrolled for more than two years? List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a sample have been enrolled for more than two years. chance that fewer than 47% of students in Neveah's 3. What is the probability that more than 65% of students in Neveah's sample have been enrolled for more than two years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a sample have been enrolled for more than two years. chance that more than 65% of students in Neveah's 4. What is the probability that between 47% and 65% of students in Neveah's sample have been enrolled for more than two years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a Neveah's sample have been enrolled for more than two years. chance that between 47% and 65% of students in

Neveah surveys 94 students at random to determine the proportion of students who have attended Mt. San Jacinto College for more than two years. Suppose that, in reality, 58% of students have attended for more than two years. 1. How are the collection of all sample proportions of samples of size 94 distributed? NO 2. What is the probability that fewer than 47% of students in Neveah's sample have been enrolled for more than two years? List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a sample have been enrolled for more than two years. chance that fewer than 47% of students in Neveah's 3. What is the probability that more than 65% of students in Neveah's sample have been enrolled for more than two years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a sample have been enrolled for more than two years. chance that more than 65% of students in Neveah's 4. What is the probability that between 47% and 65% of students in Neveah's sample have been enrolled for more than two years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a Neveah's sample have been enrolled for more than two years. chance that between 47% and 65% of students in

MATLAB: An Introduction with Applications
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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**Title: Understanding Sample Proportions in Surveys** In this exercise, Neveah conducts a survey of 94 students to determine the proportion of those who have attended Mt. San Jacinto College for over two years. It's given that 58% of students, in reality, have attended for more than two years. Let’s explore how to interpret these sample proportions. 1. **Distribution of Sample Proportions:** - The collection of all sample proportions for samples of size 94 follows a normal distribution: - Mean (\( \mu \)): [Blank] - Standard deviation (\( \sigma \)): [Blank] 2. **Probability of Fewer Than 47% Enrollment:** - To find the probability that fewer than 47% of Neveah’s sample has been enrolled for more than two years: - List the necessary z-scores: [Blank] - Probability: There is a [Blank] chance that fewer than 47% of the sample has been enrolled for over two years. 3. **Probability of More Than 65% Enrollment:** - To assess the probability that more than 65% of Neveah’s sample has been enrolled for more than two years: - List the necessary z-scores: [Blank] - Probability: There is a [Blank] chance that more than 65% of the sample has been enrolled for over two years. 4. **Probability Between 47% and 65% Enrollment:** - Calculate the probability that between 47% and 65% of Neveah’s sample has been enrolled for more than two years: - List the necessary z-scores: [Blank] - Probability: There is a [Blank] chance that between 47% and 65% of the sample has been enrolled for over two years. This activity helps in understanding how sample proportions illustrate the distribution and likelihood of various outcomes based on given data.
Transcribed Image Text:**Title: Understanding Sample Proportions in Surveys** In this exercise, Neveah conducts a survey of 94 students to determine the proportion of those who have attended Mt. San Jacinto College for over two years. It's given that 58% of students, in reality, have attended for more than two years. Let’s explore how to interpret these sample proportions. 1. **Distribution of Sample Proportions:** - The collection of all sample proportions for samples of size 94 follows a normal distribution: - Mean (\( \mu \)): [Blank] - Standard deviation (\( \sigma \)): [Blank] 2. **Probability of Fewer Than 47% Enrollment:** - To find the probability that fewer than 47% of Neveah’s sample has been enrolled for more than two years: - List the necessary z-scores: [Blank] - Probability: There is a [Blank] chance that fewer than 47% of the sample has been enrolled for over two years. 3. **Probability of More Than 65% Enrollment:** - To assess the probability that more than 65% of Neveah’s sample has been enrolled for more than two years: - List the necessary z-scores: [Blank] - Probability: There is a [Blank] chance that more than 65% of the sample has been enrolled for over two years. 4. **Probability Between 47% and 65% Enrollment:** - Calculate the probability that between 47% and 65% of Neveah’s sample has been enrolled for more than two years: - List the necessary z-scores: [Blank] - Probability: There is a [Blank] chance that between 47% and 65% of the sample has been enrolled for over two years. This activity helps in understanding how sample proportions illustrate the distribution and likelihood of various outcomes based on given data.
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