The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on average. Response times are normally distributedwith a standard deviation of 1 minute 36 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 15 secondsprovide 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 > 2.326b. He: 25 min vs H₁: <5 min, Reject He if Zcalc> 2.326O aOb(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 wouldO Fail to reject the null hypothesis.O Reject the null hypothesis.

Given: μ = 5 minutes = 300 seconds σ = 1 minute 36 seconds = 96 seconds n = 18 X = 5 minutes 15…

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 mean consumption of water per household in a city was 1244 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1164 cubic feet per month. The population standard deviation is given to be 257 cubic feet. a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. p-value = We i b. Make the test of part a using the critical-value approach and a = 0.025. Zobserved Round your answer for z to two decimal places. We Ho. i Ho. We conclude that the mean consumption of water per household has due to the campaign by the city council.
Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepares an example in which both lines are exactly 10 inches long. The example is shown to individual participants who are told that the horizontal line is 10 inches long and then are asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate is M = 12.2 inches with a standard deviation of s = 1.00. Use a one-tailed hypothesis test with α = .01 to demonstrate that the individual participants in the sample significantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean μ = 10 inches.) (Use three decimal places.) t-critical = t = The results indicate: Failure to reject the null hypothesis; there is not significant evidence that the true length of the vertical line is overestimated Failure to reject the null…
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