The mean of the commute time to work for a resident of a certain city is 27.8 minutes. Assume that the standard deviation of the commute time is 7.1 minutes to complete parts (a) through (c). (a) What minimum percentage of commuters in the city has a commute time within 2 standard deviations of the mean? 75% (b) What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean? The minimum percentage of commuters in the city that has a commute time within 2.5 standard deviations of the mean is 84%. (Round to one decimal place as needed.) The commute times within 2.5 standard deviations of the mean are between blank and blank.
Added by Miguel A.
Step 1
8 - 2 * 7.1 = 13.6 Upper limit = 27.8 + 2 * 7.1 = 42.0 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Shyam P and 57 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The mean of the commute time to work for a resident of a certain city is 28.8 minutes. Assume that the standard deviation of the commute time is 6.6 minutes. Complete parts (a-c). (a) What minimum % of the commute in the city has a commute time within 2 standard deviations of the mean? (b) What minimum % of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean? (c) What is the minimum % of commuters who have commute times between 9 minutes and 48.6 minutes?
Robin C.
5. The mean of the commute time to work for a resident of Boston is 27.1 minutes. Assume that the standard deviation of the commute time is 8.3 minutes. a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean? b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean? c) What are the commute times within 1.4 standard deviation?
Susan H.
A survey showed that the average commuter spends about 26 minutes on a one-way door-to-door trip from home to work. In addition, 5$\%$ of commuters reported a one-way commute of more than one hour (Bureau of Transportation Statistics website, January $12,2004$ ). a. If 20 commuters are surveyed on a particular day, what is the probability that three will report a one-way commute of more than one hour? b. If 20 commuters are surveyed on a particular day, what is the probability that none will report a one-way commute of more than one hour? c. If a company has 2000 employees, what is the expected number of employees that have a one-way commute of more than one hour? d. If a company has 2000 employees, what are the variance and standard deviation of the number of employees that have a one-way commute of more than one hour?
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD