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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Need help finding test statistic and p-value
![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 α = 0.01?
(a) Choose the appropriate hypotheses.
a. \( H_0: \mu \leq 7 \) minutes vs \( H_1: \mu > 7 \) minutes, Reject \( H_0 \) if \( z_{\text{calc}} > 2.326 \)
b. \( H_0: \mu \geq 7 \) minutes vs \( H_1: \mu < 7 \) minutes, Reject \( H_0 \) if \( z_{\text{calc}} > 2.326 \)
- Selected option: a
(b) Calculate the value of the test statistic. (Round your answer to 2 decimal places.)
- \( z_{\text{calc}} \) [Input box]
(c) Use Excel to find the \( p \)-value. (Round your answer to 4 decimal places.)
- \( p\text{-value} \) [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa77aa69c-d224-4984-9588-4d1e382053b7%2F5f734357-dfac-41a4-898b-8f08bd17e306%2Fbxkevpp_processed.png&w=3840&q=75)
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 α = 0.01?
(a) Choose the appropriate hypotheses.
a. \( H_0: \mu \leq 7 \) minutes vs \( H_1: \mu > 7 \) minutes, Reject \( H_0 \) if \( z_{\text{calc}} > 2.326 \)
b. \( H_0: \mu \geq 7 \) minutes vs \( H_1: \mu < 7 \) minutes, Reject \( H_0 \) if \( z_{\text{calc}} > 2.326 \)
- Selected option: a
(b) Calculate the value of the test statistic. (Round your answer to 2 decimal places.)
- \( z_{\text{calc}} \) [Input box]
(c) Use Excel to find the \( p \)-value. (Round your answer to 4 decimal places.)
- \( p\text{-value} \) [Input box]
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