1. The Department of Labor in the United States is conducting a study to understand the...

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1. The Department of Labor in the United States is conducting a study to understand the commuting patterns of working individuals in two of its largest employment hubs: Los Angeles and New York. The study focuses on the commuting times to work for 40 randomly selected individuals in each city over one month. As a statistics student, your task is to analyze this dataset and provide an insightful statistical report. Your report should support your findings using statistical techniques and visual representations. New York Commuting Times 60 15 15 30 30 90 20 35 90 30 45 75 15 20 45 15 45 60 30 10 30 10 60 40 75 30 30 75 60 40 90 45 45 60 3030 60 45 45 20 60 25 10 Los Angeles Commuting Times 30 20 45 30 60 25 25 60 30 5 45 60 60 20 10 60 30 20 45 15 25 15 60 30 10 60 15 40 60 45 45 15 30 30 80 25 20 30 15 30 a. [2 points] Are the data discrete or continuous? How do you know? b. [4 points] Construct a dot-plot graph for the commuting times of the 40 individuals from Los Angeles. Explain how this visual representation helps in understanding the distribution of b. [4 points] Construct a dot-plot graph for the commuting times of the 40 individuals from Los Angeles. Explain how this visual representation helps in understanding the distribution of commuting times. Paste the dot-plot graph here. I recommend using Stapplet. c. [3 points] Identify the mean, median, and sample standard deviation for Los Angeles commuting times. Round to one decimal place, and use a proper statistical notation. d. [10 points] Create box plots for the commuting times in Los Angeles and New York, using the same scale for both. Use the 5-number summary to describe the spread of commuting times in each city. Look for any similarities or differences between the two cities. Based on your box plots and the spread of data, discuss which city has higher commuting times and how this information could be important for making decisions about city planning and transportation. List the 5-number summary for each data, and label the boxplots correctly. Note: Use this website for the boxplots. Round your data to the nearest integer. 1. The Department of Labor in the United States is conducting a study to understand the commuting patterns of working individuals in two of its largest employment hubs: Los Angeles and New York. The study focuses on the commuting times to work for 40 randomly selected individuals in each city over one month. As a statistics student, your task is to analyze this dataset and provide an insightful statistical report. Your report should support your findings using statistical techniques and visual representations. New York Commuting Times 60 15 15 30 30 90 20 35 90 30 45 75 15 20 45 15 45 60 30 10 30 10 60 40 75 30 30 75 60 40 90 45 45 60 3030 60 45 45 20 60 25 10 Los Angeles Commuting Times 30 20 45 30 60 25 25 60 30 5 45 60 60 20 10 60 30 20 45 15 25 15 60 30 10 60 15 40 60 45 45 15 30 30 80 25 20 30 15 30 a. [2 points] Are the data discrete or continuous? How do you know? b. [4 points] Construct a dot-plot graph for the commuting times of the 40 individuals from Los Angeles. Explain how this visual representation helps in understanding the distribution of b. [4 points] Construct a dot-plot graph for the commuting times of the 40 individuals from Los Angeles. Explain how this visual representation helps in understanding the distribution of commuting times. Paste the dot-plot graph here. I recommend using Stapplet. c. [3 points] Identify the mean, median, and sample standard deviation for Los Angeles commuting times. Round to one decimal place, and use a proper statistical notation. d. [10 points] Create box plots for the commuting times in Los Angeles and New York, using the same scale for both. Use the 5-number summary to describe the spread of commuting times in each city. Look for any similarities or differences between the two cities. Based on your box plots and the spread of data, discuss which city has higher commuting times and how this information could be important for making decisions about city planning and transportation. List the 5-number summary for each data, and label the boxplots correctly. Note: Use this website for the boxplots. Round your data to the nearest integer.