Answered: According to the Central Limit Theorem,…

According to the Central Limit Theorem, The traditional sample size that separates a large sample size from a small sample size is one that is greater than 30 500 100 20 O O O O

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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According to the Central Limit Theorem, The traditional sample size that separates a large sample size from a small sample size is
one that is greater than
30
500
100
20

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The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. A) find the mean of p b)find the standard deviation of p c)Compute an approximation for P≥p0.0125, which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
What happens to the minimum sample size needed to estimate p when the acceptable margin of error increases? O A. the minimum sample size does not change B. the minimum sample size decreases C. the minimum sample size increases
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A large company has operated assuming that the rate of absenteeism is the same for each day of the week. The new human resources director at the company claims that the assumption is false and that the rate of absenteeism is different for some days of the week as compared with others. To test the claim, a random sample of 150 absences was selected, and the day of the week on which the absence occurred was recorded. The counts are shown in the following table. Monday Tuesday Wednesday Thursday Friday Number of Absences 40 27 21 34 28 The appropriate chi-square test will be performed to test the claim. What is the contribution of the Monday absences to the calculation of the chi-square test statistic? (A) 0.333 (B) 2.500 (C) 3.000 (D) 3.333 (E) 10.000
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