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5. Hillstone's Restaurant in Winter Park determined that the amount of money spent weekly on cleaning, maintenance, and repairs was a normal distribution with a mean of $1030 and a standard deviation of $70. Find the highest amount of money spent weekly by Hillstone's on cleaning, maintenance, and repairs that is still in the first quartile (P25). Show all work.

5. Hillstone's Restaurant in Winter Park determined that the amount of money spent weekly on cleaning, maintenance, and repairs was a normal distribution with a mean of $1030 and a standard deviation of $70. Find the highest amount of money spent weekly by Hillstone's on cleaning, maintenance, and repairs that is still in the first quartile (P25). Show all work.

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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**Educational Content Transcription** --- ### Statistical Analysis Exercises **5. Hillstone’s Restaurant Analysis** Hillstone’s Restaurant in Winter Park determined that the amount of money spent weekly on cleaning, maintenance, and repairs was a normal distribution with a mean of $1030 and a standard deviation of $70. Find the highest amount of money spent weekly by Hillstone’s on cleaning, maintenance, and repairs that is still in the first quartile (P<sub>25</sub>). Show all work. **6. World Happiness Study** In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life, and 10 represents the best possible life. The mean response was 4.7 with a standard deviation of 2.4. Show all work. A. What response value represents the third quartile? **6A.** ______________ B. What response value represents the 35th percentile? **6B.** ______________ --- ### Notes: - **Normal Distribution**: In context, this refers to data that is symmetrically distributed with most results around the mean, gradually decreasing in frequency as one goes farther from the mean. - **Quartiles and Percentiles**: These are measures used to understand the distribution of data. The third quartile (Q3) represents the value below which 75% of the data falls, while percentiles indicate the value below which a certain percentage of the data falls.
Transcribed Image Text:**Educational Content Transcription** --- ### Statistical Analysis Exercises **5. Hillstone’s Restaurant Analysis** Hillstone’s Restaurant in Winter Park determined that the amount of money spent weekly on cleaning, maintenance, and repairs was a normal distribution with a mean of $1030 and a standard deviation of $70. Find the highest amount of money spent weekly by Hillstone’s on cleaning, maintenance, and repairs that is still in the first quartile (P<sub>25</sub>). Show all work. **6. World Happiness Study** In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life, and 10 represents the best possible life. The mean response was 4.7 with a standard deviation of 2.4. Show all work. A. What response value represents the third quartile? **6A.** ______________ B. What response value represents the 35th percentile? **6B.** ______________ --- ### Notes: - **Normal Distribution**: In context, this refers to data that is symmetrically distributed with most results around the mean, gradually decreasing in frequency as one goes farther from the mean. - **Quartiles and Percentiles**: These are measures used to understand the distribution of data. The third quartile (Q3) represents the value below which 75% of the data falls, while percentiles indicate the value below which a certain percentage of the data falls.
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