Answered: The Scottsdale fire department aims to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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 42 seconds. would a sample of 18 fire calls with a mean response time of 7 minutes 22 seconds provide sufficient evidence to show that the goal is not being met at a=.01?

choose the appropriate hypothesis

a)H0:µ≤ 7 min vsH1:µ> 7 min, Reject Hθ if zcalc> 2.326

b)H0:µ≥ 7 min vsH1:µ< 7 min, Reject Hθ if z calc> 2.326

c) Use Excel to find the p-value.(round your answer to 4 decimal places).?

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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