Answer to Question #193494 in Statistics and Probability for bryelle

Question

the histogram shows the distribution of the ambulance response times for 250 emergency calls in a city. the ambulance response had a normal mean of 9.3 minutes and a standard deviation of 2.9. If a is the response time of an ambulance, which range of response times include the times of the ambulance that are within 1.5 standard deviations of the mean? round your answer to the nearest whole number

Answer 1

Given, $\mu=9.3,\sigma=2.9$

$n=250$

So, Data lies within the 1.5 standard deviation $= \mu-1.5(\sigma) \text{ to } (\mu+1.5(\sigma)$

$= 9.3-(1.5)(2.9) \text{ to } (9.3+1.5(2.9) \\ =4.95 \text{ to } 13.65 \text{ min}$

Hence The range of response is from 5 min to 14 min.