Part 1: Data Collection I collected data on the number of hours slept by 50 different individuals over the course of a week. Data set: [6, 7, 8, 7, 6, 7, 8, 6, 7, 9, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8] Part 3: Responding to Questions 1. Mean: (6+ 7+ 8+ 9 + ...) / 50 = 7.26 hours Standard Deviation: Calculate the variance: Sum of squares of the differences between each value and the mean: (6-7.26)^2 + (7-7.26)^2 + .. Divide by the number of data points. ... Standard deviation = Square root of the variance. 2. To determine if the data follows a normal distribution, we can visually inspect the bar graph and also use statistical tests like the Shapiro-Wilk test. However, since the data is related to human behavior (hours slept), it's likely to approximate a normal distribution as most human behaviors tend to cluster around the mean. 3. a. Yes, it makes sense for the data on hours slept to approximate a normal distribution. People's sleep patterns tend to cluster around the average with fewer people deviating significantly from it. 4. For this survey, I simply asked 50 different individuals about the number of hours they slept each night over a week. Possible sources of bias could include self-reporting inaccuracies, as people might overestimate or underestimate their sleep hours. To ensure a more random sample, I could use a random sampling method where I select participants from different demographics and geographic locations randomly. 5. In the future, I would like to study the commuting times of people in a city. To ensure an unbiased random sample, I could randomly select individuals from different neighborhoods in the city and collect data on their commuting times over a specific period, ensuring diversity in age, occupation, and mode of transportation.
Part 1: Data Collection I collected data on the number of hours slept by 50 different individuals over the course of a week. Data set: [6, 7, 8, 7, 6, 7, 8, 6, 7, 9, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8] Part 3: Responding to Questions 1. Mean: (6+ 7+ 8+ 9 + ...) / 50 = 7.26 hours Standard Deviation: Calculate the variance: Sum of squares of the differences between each value and the mean: (6-7.26)^2 + (7-7.26)^2 + .. Divide by the number of data points. ... Standard deviation = Square root of the variance. 2. To determine if the data follows a normal distribution, we can visually inspect the bar graph and also use statistical tests like the Shapiro-Wilk test. However, since the data is related to human behavior (hours slept), it's likely to approximate a normal distribution as most human behaviors tend to cluster around the mean. 3. a. Yes, it makes sense for the data on hours slept to approximate a normal distribution. People's sleep patterns tend to cluster around the average with fewer people deviating significantly from it. 4. For this survey, I simply asked 50 different individuals about the number of hours they slept each night over a week. Possible sources of bias could include self-reporting inaccuracies, as people might overestimate or underestimate their sleep hours. To ensure a more random sample, I could use a random sampling method where I select participants from different demographics and geographic locations randomly. 5. In the future, I would like to study the commuting times of people in a city. To ensure an unbiased random sample, I could randomly select individuals from different neighborhoods in the city and collect data on their commuting times over a specific period, ensuring diversity in age, occupation, and mode of transportation.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Part 1: Data Collection
I collected data on the number of hours slept by 50 different individuals over the course of a week.
Data set:
[6, 7, 8, 7, 6, 7, 8, 6, 7, 9, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8]
Part 3: Responding to Questions
1. Mean: (6+ 7+ 8+ 9 + ...) / 50 = 7.26 hours
Standard Deviation:
Calculate the variance:
Sum of squares of the differences between each value and the mean: (6-7.26)^2 + (7-7.26)^2 + ..
Divide by the number of data points.
...
Standard deviation = Square root of the variance.
2. To determine if the data follows a normal distribution, we can visually inspect the bar graph and also use statistical tests like the Shapiro-Wilk
test. However, since the data is related to human behavior (hours slept), it's likely to approximate a normal distribution as most human behaviors
tend to cluster around the mean.
3. a. Yes, it makes sense for the data on hours slept to approximate a normal distribution. People's sleep patterns tend to cluster around the
average with fewer people deviating significantly from it.
4. For this survey, I simply asked 50 different individuals about the number of hours they slept each night over a week. Possible sources of bias
could include self-reporting inaccuracies, as people might overestimate or underestimate their sleep hours. To ensure a more random sample, I
could use a random sampling method where I select participants from different demographics and geographic locations randomly.
5. In the future, I would like to study the commuting times of people in a city. To ensure an unbiased random sample, I could randomly select
individuals from different neighborhoods in the city and collect data on their commuting times over a specific period, ensuring diversity in age,
occupation, and mode of transportation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F760476ad-e7f5-4787-ab69-71e6f8e54049%2Fd08109ff-73c4-47cc-a107-fc586c0d06dd%2Fmlfeac_processed.png&w=3840&q=75)
Transcribed Image Text:Part 1: Data Collection
I collected data on the number of hours slept by 50 different individuals over the course of a week.
Data set:
[6, 7, 8, 7, 6, 7, 8, 6, 7, 9, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 6, 7, 8, 9, 6, 7, 8, 7, 6, 7, 8, 6, 7, 8]
Part 3: Responding to Questions
1. Mean: (6+ 7+ 8+ 9 + ...) / 50 = 7.26 hours
Standard Deviation:
Calculate the variance:
Sum of squares of the differences between each value and the mean: (6-7.26)^2 + (7-7.26)^2 + ..
Divide by the number of data points.
...
Standard deviation = Square root of the variance.
2. To determine if the data follows a normal distribution, we can visually inspect the bar graph and also use statistical tests like the Shapiro-Wilk
test. However, since the data is related to human behavior (hours slept), it's likely to approximate a normal distribution as most human behaviors
tend to cluster around the mean.
3. a. Yes, it makes sense for the data on hours slept to approximate a normal distribution. People's sleep patterns tend to cluster around the
average with fewer people deviating significantly from it.
4. For this survey, I simply asked 50 different individuals about the number of hours they slept each night over a week. Possible sources of bias
could include self-reporting inaccuracies, as people might overestimate or underestimate their sleep hours. To ensure a more random sample, I
could use a random sampling method where I select participants from different demographics and geographic locations randomly.
5. In the future, I would like to study the commuting times of people in a city. To ensure an unbiased random sample, I could randomly select
individuals from different neighborhoods in the city and collect data on their commuting times over a specific period, ensuring diversity in age,
occupation, and mode of transportation.
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