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##### Business Statistics Week 7 Assignment

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**Question**

Question;Business Statistics;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;Construct a graphic;representation of the data using six side-by-side dotplots.;Visually estimate the mean;commute time for each city and locate it with an X.;Does it appear that different;cities 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.;Does it visually appear that;different cities have different effects on the variation in the amount of;time spent by workers who commute to work during the 8:00 a.m. rush hour?;Explain.;Part 2;Calculate the mean commute;time for each city depicted.;Does there seem to be a;difference among the mean one-way commute times for these six cities?;Calculate the standard;deviation for each city?s commute time.;Does there seem to be a difference;among the standard deviations between the one-way commute times for these;six cities?;Part 3;Construct the 95% confidence;interval for the mean commute time for Atlanta;and Boston.;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;Construct the 95% confidence;interval for the mean commute time for Dallas.;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 Dallas?;Explain.;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;How does your confidence;intervals compare to the intervals given for Atlanta;Boston, and Dallas in ?Longest Commute to Work? on;page 255?;Question 2;Interstate 90 is the longest of the east-westU.S.;interstate highways with its 3,112 miles stretching fromBoston;MA at I-93 on the eastern end toSeattleWA;at the Kingdome on the western end. It travels across 13 northern states, the;number of miles and number of intersections in each of those states is listed;below.;State;No. of Inter;Miles;WA;57;298;ID;15;73;MT;83;558;WY;23;207;SD;61;412;MN;52;275;WI;40;188;IL;19;103;IN;21;157;OH;40;244;PA;14;47;NY;48;391;MA;18;159;Construct a scatter diagram;of the data.;Find the equation for the;line of best fit using x= miles and y=intersections.;Using the equation found in;part (b), estimate the average number of intersections per mile along;I-90.;Find a 95% confidence;interval for?1.;Explain the meaning of the;interval found in part d.

Paper#57149 | Written in 18-Jul-2015

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