Q311kV SF6 circuit breakers in electrical distribution substations in an industrial park mustbe periodically maintained to prevent unexpected faults. An engineer claims that onaverage, the circuit breakers will fail less than 10 months after the last maintenance workdue to the surrounding atmospheric conditions. Based on his claim, he suggests to reducepreventive maintenance cycle time. From a sample of 30 circuit breakers, the meanoperating hours before circuit breaker failure is 6845 hours with a standard deviation of766 hours. Let X is the average operating hours before fail and a=0.05. Assume 30 daysper month in the calculation.(a)Write the null hypothesis, alternative hypothesis and claim for X.(b)(c)Determine the test types and data.Calculate the critical value and the test statistics.

Given: Sample size, n =30 Sample mean, x¯=6854 Sample standard deviation, s=766

Answered: (a) (b) (c) Write the null hypothesis,…

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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Solve the problem. 9) The table shows the number of households burglarized in a sample of households with dogs and in a sample of households without dogs. Assume that you plan to use a significance level of a = 0.01 to test the claim that p1 < p2. Find the critical value(s) for this hypothesis test. Do the data support the claim that a smaller proportion of households with pet dogs are burglarized? 9) Household with Dog Household without Dog Number of households in sample Number of households burglarized 206 140 20 11 A) z = -2.575; no B) z = -2.33; no C) z = 2.33; yes D) z = -1.96; yes
Is there a relationship between the number of votes received by candidates for public office and the amount spent on their campaigns? Candidate Amount spent (000) Votes received (000)Weber $3 14Taite $4 7Spencer $2 5Lopez $5 12Using a 0.01 significance level, do the formal hypothesis test (using critical values).Remember to show your steps (including all relevant information) show the steps on how to solve it
Imagine you are doing a Related-Samples t-test, and you are on Step Four of the hypothesis test. The study you are doing is testing whether there’s a significant difference between the anxiety of people before and after a final exam. The APA sentence is t(28) = 3.45, p < .05, d = 1.05. What is the correct set of conclusions that goes with this APA sentence? Group of answer choices Reject the H0, conclude that there IS a difference in anxiety, conclude based on effect size that the difference is small. Fail to Reject the H0, conclude that there IS a difference in anxiety. Reject the H0, conclude that there IS NOT a difference in anxiety, conclude based on effect size that the difference is small. Fail to Reject the H0, conclude that there IS NOT a difference in anxiety. Reject the H0, conclude that there IS a difference in anxiety, conclude based on effect size that the difference is large.
For example, let's say that I have the following null hypothesis: "The population mean is equal to 5", and the alternative hypothesis: "The population mean is not equal to five". Then, I collect a sample from the population and after performing the hypothesis test I conclude at the 0.01 significance level: "Reject the null hypothesis", or in plain English "There is enough evidence to reject the claim that the population mean is equal to five". Then, am I proving that the population mean is not equal to five?
(a) Write the claim mathematically and identify H0 and Ha. (b) Find the standardized test statistic z, and its corresponding area. (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret your decision in the context of the original claim.
Imagine that you found that participants in the jelly bean condition had an average acne score o and your significance level was .041. Because your signifinace level is lEss than .05 you reject the null hypothesis. Result #2 imagine that you found that the participants in the jelly bean condition had an average acne score of and your significance level was .00. Because your significance level is less than .05 you reject the null hypothesis. You also note that this result suggest a bigger effect size(30verus10 on your dependant variable). What is the ma in difference between the two scenarios?
(e) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, will the researcher reject the null hypothesis? Yes O No

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(a) (b) (c) Write the null hypothesis, alternative hypothesis and claim for X. Determine the test types and data. Calculate the critical value and the test statistics.