Assignment Paper

Question 1

 

To compare commuting times in various locations, independent random samples were obtained from the six cities presented in the “Longest Commute to Work” graphic on page 255 in your textbook. The samples were from workers who commute to work during the 8:00 a.m. rush hour. One-way Travel to Work in Minutes

 

Atlanta

 

Boston

 

Dallas

 

Philadelphia

 

Seattle

 

St. Louis

 

29

 

18

 

42

 

29

 

30

 

15

 

21

 

37

 

25

 

20

 

23

 

24

 

20

 

27

 

26

 

33

 

31

 

42

 

15

 

25

 

32

 

37

 

39

 

23

 

37

 

32

 

20

 

42

 

14

 

33

 

26

 

34

 

26

 

 

 

 

 

18

 

 

 

48

 

35

 

 

 

 

 

 

 

a. Construct a graphic representation of the data using six sid-by-side dotplots.

 

b. Visually estimate the mean commute time for each city and locate it with an X.

 

c. Does it appear that different citites have different effects on the average amount of time spent by workers who commute to work during the 8:00 a.m. rush hour? Explain.

 

d. Does it visually appear that different cities have different effects on the variation in the amount of time spent by workers wo commute to work during the 8:00 a.m. rush hour? Explain.

 

 

Part 2

 

a. Calculate the mean commute time for each city depicted.

 

b. Does there seem to be a difference among the mean one-way commute times for these six cities?

 

c. Calculate the standard deviation for each city’s commute time.

 

d. Does there seem to be a difference among the standard deviations between the one-way commute times for these six cities?

 

 

Part 3

 

a. Construct the 95% confidence interval for the mean commute time for Atlanta and Boston.

 

b. Based on the confidence intervals found does it appear that the mean commute time is the same or different for these two cities (Atlanta and Boston). Explain

 

c. Construct the 95% confidence interval for the mean commute time for Dallas.

 

d. Based on the confidence intervals found in (Atlanta and Boston) and Dallas does it appear that the mean commute time is the same or different for Boston and dalls? Explain.

 

e. Based on the confidence levels found in (Atlanta and Boston) and (Dallas) does it appear that the mean commute time is the same or different for the set of three cities, Atlanta, Boston, and Dallas? Explain

 

f. How doe your confidence intervals compare to the intervals given for Atlant, Boston, and Dallas in “Longest Commute to Work” on page 255?