Answer only d,d,e H2O2:58 PM@ 66% 4YesterdayEdit12:51 PM91OTA0OD95/a/MTcyMDU2OTAwMTIz/detailsPacked in at Rush Hour!Sq. Ft. per standing passengerMoming Morning Afternoon Aftemoon19871.81.92.22.22.32.42.42.42.52.5293.13.23.43.744.86.96.9In 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 managersattempted to improve the space problem on subway cars (more space isbetter-trust us!) by adding cars to trains during the rush hours. Theygathered the 1988 data to check on their efforts after one year. The dataare in the given table.19872.42.72.933.13.63.63.63.73.86.7|6.86.87.78.48.89.29.416.4198819882.52.72.72.93.13.23.33.53.53.74.35.25.65.66.211.71317.333.31.51.81.91.92.2.12.12.12.22.22.82.93.33.93.94.14.45.58.6The 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 timeof day, they will report how far away the target value of 3 feet is relativeto the different distributions.(a) Consider the original passenger space data for the morning rush in1987, used in Exhibit 4-2. What are the mean (& ), median, mode,min, max and standard deviation (s) for the sample?median =minS-modemax=(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:1."Approximately% of the passenger space values will be between -30 and 3a."OR"At least% of the passenger space values will be between -3o and 30."II.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:(d) Name the following:Mild Outliers:Extreme Outliers:(e) Make a valid statistical argument as to whether or not standing space has improved. List any relevant descriptive statistics.曲)

Name: Answer only d,d,e H2O2:58 PM@ 66% 4YesterdayEdit12:51 PM91OTA0OD95/a/M
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Description: Answer only d,d,e H2O2:58 PM@ 66% 4YesterdayEdit12:51 PM91OTA0OD95/a/MTcyMDU2OTAwMTIz/detailsPacked in at Rush Hour!Sq. Ft. per standing passengerMoming Morning Afternoon Aftemoon19871.81.92.22.22.32.42.42.42.52.5293.13.23.43.744.86.96.9In 1990 the N

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Packed in at Rush Hour! Sq. Ft. per standing passenger In 1990 the New York Times reported the average number of square feet per standing passenger in 1987 and 1988 for 19 subway stops. Although the sampling method was not reported, we will presume that these data represent a random sample of days during the morning and evening rush hours. The NYC Transit Authority managers attempted to improve the space problem on subway cars (more space is better-trust usl) by adding cars to trains during the rush hours. They Moming Morning Afternoon Afternoon 1988 25 2.7 2.7 2.9 3.1 3.2 3.3 3.5 3.5 3.7 4.3 5.2 5.6 5.6 62 11.7 13 17.3 333 1987 1.8 1.9 22 22 23 1988 1.5 1.8 1.9 1.9 1987 24 2.7 29 gathered the 1988 data to check on their efforts after one year. The data 2.4 24 2.4 25 2.5 of day, they will report how far away the target value of 3 feet is relative 3.1 3.6 3.6 3.6 3.7 3.8 5.7 6.8 5.8 7.7 84 88 are in the given table. 2.1 2.1 22 22 2.8 2.9 3.3 3.9 3.9 The MTA guidelines in 1987 specified a minimum of 3 square feet per standing passenger. The engineers would like to report standardized measures (2-scores) of this target value. That is, for each year and time 29 3.1 3.2 3.4 3.7|| to the different distributions. (a) Consider the original passenger space data for the morning rush in 1987, used in Exhibit 4-2. What are the mean (k), median, mode, min, max and standard deviation (s) for the sample? min 4.8 44 6.9 55 median - S- mode 9.4 16.4 max 69 8.6 (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 like to make statements in something like the following form: "Approximately _% of the passenger space values will be between -3o and 30." OR L. I. "At least % of the passenger space values will be between -30 and 30. Using the afternoon rush numbers for 1987, and based on your work so far, would you recommend using the Empirical Rule or Chebyshev's Rule to establish these percentage? Fill in the blanks above in parts i& I then explain your reasoning using complete sentence(s). (d) Use a straight edge to make a box and whisker plot for the data in the afternoon of 1988: (d) Name the following Mild Outliers: Extreme Outliers: