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The Scottsdale fire department aims to respond to fire calls in 6 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 18 seconds. Would a sample of 18 fire calls with a mean response time of 6 minutes 20 seconds provide sufficient evidence to show that the goal is not being met at α = .01?
(a) Choose the appropriate hypotheses.
A. H0: µ ≤ 6 min vs H1: µ > 6 min, Reject H0 if zcalc > 2.326
B. H0: µ ≥ 6 min vs H1: µ < 6 min, Reject H0 if zcalc > 2.326
Correct Answer is A
(b) Calculate the value of the test statistic. (Round your answer to 2 decimal places.)
zcalc __________
(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)
p-value__________
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