(a) Use the "One Proportion" or the "One Variable with Sampling (Population Sampling)" applet in Rossman/Chance to generate the necessary values to calculate the standardized statistic. State the value used in your simulation to generate the distribution of simulated statistics. (b) Sketch the graph of the distribution and identify the values of the simulated statistics that are -2, -1, 0, 1, and 2 standard deviations below or above the mean. Estimate the standardized statistic using this graph. (c) Calculate the standardized statistic using the values from part (a) and label it using the appropriate symbol. (d) Use the standardized statistic to make a statement about whether your statistics was usual or unusual.A 2018 article by the New York Times investigating the average commute time of workers in major cities found that the longest average commute was for workers in New York City who traveled an average of 35.9 minutes each day (or a total of 89.4 hours travel time per year) with a standard deviation of 9.8 minutes. You live relatively close to NYC and know of several residents in your neighborhood who commute into the city each day and decide to investigate whether the commuters in your neighborhood have a longer average commute time. You survey a total of 21 commuters in your neighborhood and find an average commute time of 39.2 minutes, with a standard deviation of 10.3 minutes