Rosa surveys 53 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, 53% of students have attended for more than two years. How are the collection of all sample proportions of samples of size 53 distributed? N(, ) What is the probability that fewer than 48% of students in Rosa's sample have been enrolled for more than two years? List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma. There is a ------ chance that fewer than 48% of students in Rosa's sample have been enrolled for more than two years. What is the probability that more than 61% of students in Rosa's sample have been enrolled for more than two years? List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma. There is a -------- chance that more than 61% of students in Rosa's sample have been enrolled for more than two years. What is the probability that between 48% and 61% of students in Rosa's sample have been enrolled for more than two years? List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma. There is a ------ chance that between 48% and 61% of students in Rosa's sample have been enrolled for more than two years.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question

Rosa surveys 53 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, 53% of students have attended for more than two years.

    1. How are the collection of all sample proportions of samples of size 53 distributed?

      N(, )



    1. What is the probability that fewer than 48% of students in Rosa's sample have been enrolled for more than two years?

        • List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma.

      • There is a ------ chance that fewer than 48% of students in Rosa's sample have been enrolled for more than two years.



    1. What is the probability that more than 61% of students in Rosa's sample have been enrolled for more than two years?

        • List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma.

      • There is a -------- chance that more than 61% of students in Rosa's sample have been enrolled for more than two years.



  1. What is the probability that between 48% and 61% of students in Rosa's sample have been enrolled for more than two years?

      • List the zz-scores needed to calculate the result. If there is more than one zz-score, separate the values with a comma.

    • There is a ------ chance that between 48% and 61% of students in Rosa's sample have been enrolled for more than two years.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage