The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on average. Response times are normally distribu with a standard deviation of 1 minute 36 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 15 secon provide sufficient evidence to show that the goal is not being met at a = .01? (a) Choose the appropriate hypotheses. a. He: ≤ 5 min vs H₁: > 5 min, Reject He if Zealc > 2.326 b. He: 25 min vs H₁: <5 min, Reject He if Zcalc>2.326 Oa Ob (b) Calculate the value of the test statistic. (Round your answer to 2 decimal places.) zcalc (Daun ewer to 4 decimal places.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 36 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 15 seconds
provide sufficient evidence to show that the goal is not being met at a = .01?
(a) Choose the appropriate hypotheses.
a. He: ≤ 5 min vs H₁: > 5 min, Reject He if Zealc > 2.326
b. He: 25 min vs H₁: <5 min, Reject He if Zcalc> 2.326
O 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.)
Transcribed Image Text: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 36 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 15 seconds provide sufficient evidence to show that the goal is not being met at a = .01? (a) Choose the appropriate hypotheses. a. He: ≤ 5 min vs H₁: > 5 min, Reject He if Zealc > 2.326 b. He: 25 min vs H₁: <5 min, Reject He if Zcalc> 2.326 O 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.)
(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)
p-value
(d) If a = .01, we would
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
Transcribed Image Text:(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.) p-value (d) If a = .01, we would O Fail to reject the null hypothesis. O Reject the null hypothesis.
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