A furniture company wants to know what percent of their customers are satisfied with the furniture they purchase. The company surveys 153 customers to gather feedback. Suppose that, in reality, 91% of all customers are satisfied with their purchase. 1. How are the collection of all sample proportions of samples of size 153 distributed? NO 0.91 ✓ 0.0231 2. What is the probability that fewer than 88% of those surveyed are satisfied with their purchase? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. -1.30 o There is a 9.68 satisfied with ✓ o There is a 33.36 purchase. 3. What is the probability that more than 92% of those surveyed are satisfied with their purchase? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. 0.43 satisfied with their purchase. chance that fewer than 88% of those surveyed are Submit Question 4. What is the probability that between 88% and 92% of those surveyed are satisfied with their purchase? o There is a 33.36 are satisfied with their purchase. x chance that more than 92% of those surveyed are o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. 0.43 chance that between 88% and 92% of those surveyed

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 153 customers to gather feedback. Suppose that, in reality, 91% of all customers are satisfied with their purchase.

1. **How are the collection of all sample proportions of samples of size 153 distributed?**

   - Normally distributed with a mean (\(\mu\)) of 0.91 and a standard deviation (\(\sigma\)) of 0.0231.

2. **What is the probability that fewer than 88% of those surveyed are satisfied with their purchase?**

   - **List the z-scores needed to calculate the result:** \(-1.30\)
   - There is a 9.68% chance that fewer than 88% of those surveyed are satisfied with their purchase.

3. **What is the probability that more than 92% of those surveyed are satisfied with their purchase?**

   - **List the z-scores needed to calculate the result:** \(0.43\)
   - There is a 33.36% chance that more than 92% of those surveyed are satisfied with their purchase.

4. **What is the probability that between 88% and 92% of those surveyed are satisfied with their purchase?**

   - **List the z-scores needed to calculate the result:** \(0.43\)
   - There is a 33.36% chance that between 88% and 92% of those surveyed are satisfied with their purchase.

**Submit Question**
Transcribed Image Text:A furniture company wants to know what percent of their customers are satisfied with the furniture they purchase. The company surveys 153 customers to gather feedback. Suppose that, in reality, 91% of all customers are satisfied with their purchase. 1. **How are the collection of all sample proportions of samples of size 153 distributed?** - Normally distributed with a mean (\(\mu\)) of 0.91 and a standard deviation (\(\sigma\)) of 0.0231. 2. **What is the probability that fewer than 88% of those surveyed are satisfied with their purchase?** - **List the z-scores needed to calculate the result:** \(-1.30\) - There is a 9.68% chance that fewer than 88% of those surveyed are satisfied with their purchase. 3. **What is the probability that more than 92% of those surveyed are satisfied with their purchase?** - **List the z-scores needed to calculate the result:** \(0.43\) - There is a 33.36% chance that more than 92% of those surveyed are satisfied with their purchase. 4. **What is the probability that between 88% and 92% of those surveyed are satisfied with their purchase?** - **List the z-scores needed to calculate the result:** \(0.43\) - There is a 33.36% chance that between 88% and 92% of those surveyed are satisfied with their purchase. **Submit Question**
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