The Scottsdale fire department aims to respond to fire calls in 5 minutes or les
ID: 3323738 • Letter: T
Question
The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 12 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 47 seconds provide sufficient evidence to show that the goal is not being met at = .01?
(a) Choose the appropriate hypotheses.
a. H0: µ 5 min vs H1: µ > 5 min, Reject H0 if zcalc > 2.326
b. H0: µ 5 min vs H1: µ < 5 min, Reject H0 if zcalc > 2.326
(b) Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
: Mean of population
H0 : = 5
HA : > 5
Standard deviation = 1.2
Hypothesis test results:
Hence,
a) Hypotheses:
H0: µ 5 min vs H1: µ > 5 min, Reject H0 if zcalc > 2.326
Option A is correct.
b) Test statistic = 2.770
c) p - Value = 0.0028
Mean n Sample Mean Std. Err. Z-Stat P-value 18 5.7833333 0.28284271 2.7695016 0.0028Related Questions
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