According to a newspaper study of more than 1 million medical dispatches from 2007 to 2012, the 911 response time for medical aid varies dramatically across a city. Under national standards adopted by the city's fire department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the newspaper analysis found that in affluent hillside communities of the city, firefighters failed to hit that mark nearly 85% of the time. The following data show the response times, in minutes, for 10 emergency calls in the Griffith Park neighborhood. 11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2 Based on this sample of ten response times, compute the descriptive statistics (in minutes) in parts (a) and (b) and then answer the questions in parts (c) and (d). (a) mean, median, and mode (in min) mean minmedian minmode min (b) range and standard deviation (in min) (Round your answers to four decimal places.) range minstandard deviation min (c) Compute the z-score for the response time of 8.3 minutes. (Round your answer to four decimal places.) z = Should the response time of 8.3 minutes be considered an outlier in comparison to the other response times? The response time of 8.3 minutes is than three standard deviations away from the mean response time, therefore it be considered an outlier. (d) Do the response times indicate that the city is meeting the national standards? Should the city consider making changes to its response strategies? Would adding more stations to areas in the city be a practical solution? Discuss.

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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According to a newspaper study of more than 1 million medical dispatches from 2007 to 2012, the 911 response time for medical aid varies dramatically across a city. Under national standards adopted by the city's fire department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the newspaper analysis found that in affluent hillside communities of the city, firefighters failed to hit that mark nearly 85% of the time.

The following data show the response times, in minutes, for 10 emergency calls in the Griffith Park neighborhood.

11.8

10.3

10.7

10.6

11.5

8.3

10.5

10.9

10.7

11.2

Based on this sample of ten response times, compute the descriptive statistics (in minutes) in parts (a) and (b) and then answer the questions in parts (c) and (d).

(a)

mean, median, and mode (in min)

mean minmedian minmode min

(b)

range and standard deviation (in min) (Round your answers to four decimal places.)

range minstandard deviation min

(c)

Compute the z-score for the response time of 8.3 minutes. (Round your answer to four decimal places.)

z =

Should the response time of 8.3 minutes be considered an outlier in comparison to the other response times?

The response time of 8.3 minutes is than three standard deviations away from the mean response time, therefore it be considered an outlier.

(d)

Do the response times indicate that the city is meeting the national standards? Should the city consider making changes to its response strategies? Would adding more stations to areas in the city be a practical solution? Discuss.

The national standard of six minutes being met for this neighborhood. The city consider making changes in its response strategy and consider relocating stations to reduce the travel time.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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