1. According to an article on Yahoo!news, you should change your sheets every 7 days...at minimum. To investigate the sheet changing habits of adults, a random sample of 20 adults reported how often they change their sheets using an anonymous survey. Here is a dotplot and summary statistics of the results. 20 00000 T T 30 40 50 80 60 70 90 Time before changing sheets (days) n 100 110 120 mean SD min Q1 med Q3 max 20 42.75 34.984 15 21 30 60 120 a. Suppose you convert the time before changing sheets from days to weeks. Describe the shape, mean, and standard deviation of the distribution of time before changing sheets in weeks. Shape- This is skewed to the right, mean- b. The adults in the study are given an article explaining the health benefits that would arise from changing their sheets more often. After reading the article each person agrees to change their sheets one week sooner than they used to. How does the shape, center, and variability of this distribution compare with the distribution of time in part (a)? c. Now suppose you convert the time before changing sheets from part (b) to z-scores. What would be the shape, mean, and standard deviation of this distribution? Explain your answers.
1. According to an article on Yahoo!news, you should change your sheets every 7 days...at minimum. To investigate the sheet changing habits of adults, a random sample of 20 adults reported how often they change their sheets using an anonymous survey. Here is a dotplot and summary statistics of the results. 20 00000 T T 30 40 50 80 60 70 90 Time before changing sheets (days) n 100 110 120 mean SD min Q1 med Q3 max 20 42.75 34.984 15 21 30 60 120 a. Suppose you convert the time before changing sheets from days to weeks. Describe the shape, mean, and standard deviation of the distribution of time before changing sheets in weeks. Shape- This is skewed to the right, mean- b. The adults in the study are given an article explaining the health benefits that would arise from changing their sheets more often. After reading the article each person agrees to change their sheets one week sooner than they used to. How does the shape, center, and variability of this distribution compare with the distribution of time in part (a)? c. Now suppose you convert the time before changing sheets from part (b) to z-scores. What would be the shape, mean, and standard deviation of this distribution? Explain your answers.
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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- **Dotplot Description:** The x-axis represents "Time before changing sheets (days)" with increments labeled at 10-day intervals from 20 to 120. The dotplot shows a distribution of dots with most located around lower to mid-range values.
- **Summary Statistics:**
- Sample Size (n): 20
- Mean: 42.75 days
- Standard Deviation (SD): 34.984 days
- Minimum: 15 days
- First Quartile (Q1): 21 days
- Median: 30 days
- Third Quartile (Q3): 60 days
- Maximum: 120 days
a. Suppose you convert the time before changing sheets from days to weeks. Describe the shape, mean, and standard deviation of the distribution of time before changing sheets in weeks.
- **Answer:** Shape - This is skewed to the right. (Mean not completed)
b. The adults in the study are given an article explaining the health benefits that would arise from changing their sheets more often. After reading the article, each person agrees to change their sheets one week sooner than they used to. How does the shape, center, and variability of this distribution compare with the distribution of time in part (a)?
c. Now suppose you convert the time before changing sheets from part (b) to z-scores. What would be the shape, mean, and standard deviation of this distribution? Explain your answers.
**Note:** The calculations and changes in distribution need to be computed based on the given statistical transformations for a complete analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb845ac35-162e-4da5-a6d5-ce13a46079d9%2Fd2d82797-0768-4318-924e-283087689817%2Fbw480qj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Check Your Understanding:**
1. According to an article on Yahoo! News, you should change your sheets every 7 days... at minimum. To investigate the sheet changing habits of adults, a random sample of 20 adults reported how often they change their sheets using an anonymous survey. Here is a dotplot and summary statistics of the results.
- **Dotplot Description:** The x-axis represents "Time before changing sheets (days)" with increments labeled at 10-day intervals from 20 to 120. The dotplot shows a distribution of dots with most located around lower to mid-range values.
- **Summary Statistics:**
- Sample Size (n): 20
- Mean: 42.75 days
- Standard Deviation (SD): 34.984 days
- Minimum: 15 days
- First Quartile (Q1): 21 days
- Median: 30 days
- Third Quartile (Q3): 60 days
- Maximum: 120 days
a. Suppose you convert the time before changing sheets from days to weeks. Describe the shape, mean, and standard deviation of the distribution of time before changing sheets in weeks.
- **Answer:** Shape - This is skewed to the right. (Mean not completed)
b. The adults in the study are given an article explaining the health benefits that would arise from changing their sheets more often. After reading the article, each person agrees to change their sheets one week sooner than they used to. How does the shape, center, and variability of this distribution compare with the distribution of time in part (a)?
c. Now suppose you convert the time before changing sheets from part (b) to z-scores. What would be the shape, mean, and standard deviation of this distribution? Explain your answers.
**Note:** The calculations and changes in distribution need to be computed based on the given statistical transformations for a complete analysis.
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