Packed in at Rush Hour!Sq. Ft. per standing passengerMorning Morning Afternoon Afternoon19882.52.72.72.93.13.23.33.53.53.74.35.25.65.66.211.71317.333.3In 1990 the New York Times reported the average number ofsquare feet per standing passenger in 1987 and 1988 for 19 subwaystops. Although the sampling method was not reported, we willpresume that these data represent a random sample of days during themorning and evening rush hours. The NYC Transit Authority managers19872.42.72.933.13.6198719881.51.81.91.81.92.22.22.3attempted to improve the space problem on subway cars (more space is1.9better--trust us!) by adding cars to trains during the rush hours. Theygathered the 1988 data to check on their efforts after one year. The data2.42.42.42.52.5of day, they will report how far away the target value of 3 feet is relative3.13.23.43.744.86.96.92.12.12.12.22.22.82.93.33.93.94.14.45.58.6are in the given table.3.63.63.73.86.76.86.87.78.48.89.29.416.4The MTA guidelines in 1987 specified a minimum of 3 square feet perstanding passenger. The engineers would like to report standardizedmeasures (z-scores) of this target value. That is, for each year and time2.9to the different distributions.(a) Consider the original passenger space data for the morning rush in1987, used in Exhibit 4-2. What are the mean (x ), median, mode,min, max and standard deviation (s) for the sample?ヌ=median =min =S =mode =max =(b) How many standard deviations above/below the mean is the target value of 3 feet for the distribution in part (a)?(c) The engineers would also like to provide descriptive information about variability for reports to the public. They would liketo make statements in something like the following form:"Approximately.% of the passenger space values will be between -30 and 30."1.OR"At least% of the passenger space values will be between -30 and 30."I.Using the afternoon rush numbers for 1987, and based on your work so far, would you recommend using the EmpiricalRule or Chebyshev's Rule to establish these percentage? Fill in the blanks above in parts I & II then explain yourreasoning using complete sentence(s).(d) Use a straight edge to make a box and whisker plot for the data in the afternoon of 1988:Extreme Outliers:(d) Name the following:Mild Outliers:(e) Make a valid statistical argument as to whether or not standing space has improved. List any relevant descriptive statistics.

Question

Packed in at Rush Hour!Sq. Ft. per standing passengerMorning Morning Afternoon Afternoon19882.52.72.72.93.13.23.33.53.53.74.35.25.65.66.211.71317.333.3In 1990 the New York Times reported the average number ofsquare feet per standing passenger in 1987 and 1988 for 19 subwaystops. Although the sampling method was not reported, we willpresume that these data represent a random sample of days during themorning and evening rush hours. The NYC Transit Authority managers19872.42.72.933.13.6198719881.51.81.91.81.92.22.22.3attempted to improve the space problem on subway cars (more space is1.9better--trust us!) by adding cars to trains during the rush hours. Theygathered the 1988 data to check on their efforts after one year. The data2.42.42.42.52.5of day, they will report how far away the target value of 3 feet is relative3.13.23.43.744.86.96.92.12.12.12.22.22.82.93.33.93.94.14.45.58.6are in the given table.3.63.63.73.86.76.86.87.78.48.89.29.416.4The MTA guidelines in 1987 specified a minimum of 3 square feet perstanding passenger. The engineers would like to report standardizedmeasures (z-scores) of this target value. That is, for each year and time2.9to the different distributions.(a) Consider the original passenger space data for the morning rush in1987, used in Exhibit 4-2. What are the mean (x ), median, mode,min, max and standard deviation (s) for the sample?ヌ=median =min =S =mode =max =(b) How many standard deviations above/below the mean is the target value of 3 feet for the distribution in part (a)?(c) The engineers would also like to provide descriptive information about variability for reports to the public. They would liketo make statements in something like the following form:&#34;Approximately.% of the passenger space values will be between -30 and 30.&#34;1.OR&#34;At least% of the passenger space values will be between -30 and 30.&#34;I.Using the afternoon rush numbers for 1987, and based on your work so far, would you recommend using the EmpiricalRule or Chebyshev's Rule to establish these percentage? Fill in the blanks above in parts I & II then explain yourreasoning using complete sentence(s).(d) Use a straight edge to make a box and whisker plot for the data in the afternoon of 1988:Extreme Outliers:(d) Name the following:Mild Outliers:(e) Make a valid statistical argument as to whether or not standing space has improved. List any relevant descriptive statistics.

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