The Scottsdale fire department aims to respond to fire calls in 8 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 48 seconds. Would a sample of 18 fire calls with a mean response time of 8 minutes 49 seconds provide sufficient evidence to show that the goal is not being met at α = .01? (a) Choose the appropriate hypotheses. H0: µ ≤ 8 min vs H1: µ > 8 min, Reject H0 if zcalc > 2.326H0: µ ≥ 8 min vs H1: µ < 8 min, Reject H0 if zcalc > 2.326 ab (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 _________ (d) If α = .01, we would Fail to reject the null hypothesis.Reject the null hypothesis.

Name: The Scottsdale fire department aims to respond to fire calls in 8 minu
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Description: The Scottsdale fire department aims to respond to fire calls in 8 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 48 seconds. Would a sample of 18 fire calls with a mean response time of 8 mi

a) As this is right tailed test, the correct hypothesis will beH0: µ ≤ 8 min vs H1: µ > 8…

Answered: The Scottsdale fire department aims to…

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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The Scottsdale fire department aims to respond to fire calls in 8 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 48 seconds. Would a sample of 18 fire calls with a mean response time of 8 minutes 49 seconds provide sufficient evidence to show that the goal is not being met at α = .01?

(a) Choose the appropriate hypotheses.

H₀: µ ≤ 8 min vs H₁: µ > 8 min, Reject H₀ if z_calc > 2.326
H₀: µ ≥ 8 min vs H₁: µ < 8 min, Reject H₀ if z_calc > 2.326

(b) Calculate the value of the test statistic. (Round your answer to 2 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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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