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.

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately. a. Excel Procedure: Enter the data for Morning in Excel sheet. Go to Data Click on Data Analysis. Select ‘descriptive statistics’ and click on ‘OK’ Select the column of Morning under ‘Variable Range’. Select the option of summary statistics. Click on ‘OK’. Excel Output: From the output, x¯=3.2368 s=1.4964 Median=2.5 Mode=2.4 min=1.8 Max=6.9 b. Consider, z=3-3.23681.4964=-0.158 Therefore, 0.158 standard deviations below the the mean is the target value of 3 feet for the distribution in part (a). c) From the empirical rule, 99.7% of the data values lies between three standard deviations from the mean. From the Chebyshev's rule at least (1-132)%=88.9% of the data values lies between three standard deviations from the mean. Therefore, I. "Approximately 99.7% of the passenger space values will be between -3σ and 3σ". II "At least 88.9% of the passenger space values will be between -3σ and 3σ".

Math

Statistics

Packed in at Rush Hour! Sq. Ft. per standing passenger Morning Morning Afternoon Afterne 1988 1.5 1.8 1.9 1.9 In 1990 the New York Times reported the average number of square feet per standing passenger in 1987 and 1988 for 19 subway 1987 2.4 2.7 2.9 3 3.1 3.6 3.6 3.6 3.7 3.8 6.7 1988 2.5 2.7 2.7 2.9 3.1 3.2 3.3 3.5 3.5 3.7 4.3 1987 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 1.8 1.9 2.2 attempted to improve the space problem on subway cars (more space is 2.2 better-trust us!) by adding cars to trains during the rush hours. They gathered the 1988 data to check on their efforts after one year. The data 2.4 2.3 2.1 2.1 2.1 2.2 2.2 2.8 are in the given table. 2.4 2.4 2.5 2.5 of day, they will report how far away the target value of 3 feet is relative The MTA guidelines in 1987 specified a minimum of 3 square feet per standing passenger. The engineers would like to report standardized measures (z-scores) of this target value. That is, for each year and time 2.9 Hictributions

Packed in at Rush Hour! Sq. Ft. per standing passenger Morning Morning Afternoon Afterne 1988 1.5 1.8 1.9 1.9 In 1990 the New York Times reported the average number of square feet per standing passenger in 1987 and 1988 for 19 subway 1987 2.4 2.7 2.9 3 3.1 3.6 3.6 3.6 3.7 3.8 6.7 1988 2.5 2.7 2.7 2.9 3.1 3.2 3.3 3.5 3.5 3.7 4.3 1987 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 1.8 1.9 2.2 attempted to improve the space problem on subway cars (more space is 2.2 better-trust us!) by adding cars to trains during the rush hours. They gathered the 1988 data to check on their efforts after one year. The data 2.4 2.3 2.1 2.1 2.1 2.2 2.2 2.8 are in the given table. 2.4 2.4 2.5 2.5 of day, they will report how far away the target value of 3 feet is relative The MTA guidelines in 1987 specified a minimum of 3 square feet per standing passenger. The engineers would like to report standardized measures (z-scores) of this target value. That is, for each year and time 2.9 Hictributions

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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