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 6 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 11 seconds provide sufficient evidence to show that the goal is not being met at α = .01?
  
(a) Choose the appropriate hypotheses.
  
a. H₀: µ ≤ 5 min vs H₁: µ > 5 min, Reject H₀ if z_calc > 2.326
b. H₀: µ ≥ 5 min vs H₁: µ < 5 min, Reject H₀ if z_calc > 2.326
  

	a
	b

  
(b) Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
  
z_calc            
  
(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)
  
p-value            
  
(d) If α = .01, we would
  

	Fail to reject the null hypothesis.
	Reject the null hypothesis.

Answer 1