The Scottsdale fire department aims to respond to fire calls in 7 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 7 minutes 19 seconds provide sufficient evidence to show that the goal is not being met at a = .01? (a) Choose the appropriate hypotheses. a. H₂: μ≤7 minutes vs H₁: >7 minutes, Reject Ho if Zcalc > 2.326 b. H₂: μ27 minutes vs H₁: μ<7 minutes, Reject He if Zcalc > 2.326 (b) Calculate the value of the test statistic. (Round your answer to 2 decimal places.) Zcalc a b (c) Use Excel to find the p-value. (Round your answer to 4 decimal places.) p-value

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The Scottsdale fire department aims to respond to fire calls in 7 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 7 minutes 19 seconds
provide sufficient evidence to show that the goal is not being met at a = .01?
(a) Choose the appropriate hypotheses.
a. H₂: ≤7 minutes vs H₁: μ> 7 minutes, Reject H₂ if Zcalc > 2.326
b. H₂:μ ≥ 7 minutes vs H₁: μ< 7 minutes, Reject H₂ if Zcalc > 2.326
a
Ob
(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
Transcribed Image Text:The Scottsdale fire department aims to respond to fire calls in 7 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 7 minutes 19 seconds provide sufficient evidence to show that the goal is not being met at a = .01? (a) Choose the appropriate hypotheses. a. H₂: ≤7 minutes vs H₁: μ> 7 minutes, Reject H₂ if Zcalc > 2.326 b. H₂:μ ≥ 7 minutes vs H₁: μ< 7 minutes, Reject H₂ if Zcalc > 2.326 a Ob (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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