furniture company wants to know what percent of their customers are satisfied with the furniture they purchase. The company surveys 57 customers to gather feedback. Suppose that, in reality, 93% of all customers are satisfied with their purchase. How are the collection of all sample proportions of samples of size 57 distributed?

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....
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A furniture company wants to know what percent of their customers are satisfied with the furniture they purchase. The company surveys 57 customers to gather feedback. Suppose that, in reality, 93% of all customers are satisfied with their purchase.

    1. How are the collection of all sample proportions of samples of size 57 distributed?

      N(, )



    1. What is the probability that fewer than 89% of those surveyed are satisfied with their purchase?

        • 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 89% of those surveyed are satisfied with their purchase.



    1. What is the probability that more than 94% of those surveyed are satisfied with their purchase?

        • 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 94% of those surveyed are satisfied with their purchase.



  1. What is the probability that between 89% and 94% of those surveyed are satisfied with their purchase?

      • 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 89% and 94% of those surveyed are satisfied with their purchase.
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