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 withinsix minutesto 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.

11.9 10.4 10.8 10.7 11.6 8.4 10.6 11.0 10.8 11.3

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)

meanmin

medianmin

modemin

(b)

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

rangemin

standard deviationmin

(c)

Compute thez-score for the response time of8.4minutes. (Round your answer to four decimal places.)

z=

Should the response time of8.4minutes be considered an outlier in comparison to the other response times?

The response time of 8.4 minutes is

---Select---

less

or

more

than three standard deviations away from the mean response time, therefore it

---Select---

should

or

should not

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

---Select---

is

or

is not

being met for this neighborhood. The city

---Select---

should

or

should not

consider making changes in its response strategy and

---Select---

should

or

should not

consider relocating stations to reduce the travel time.