10. A random sample of 300 electronic components were selected from a large run of a new manufacturingprocess. Each was tested and 18 were found to be defective.a. Construct the 95% confidence interval for the proportion of defective components.b. To reduce the width of the 95% confidence interval to ±.01 (width of 2%) the sample size must be atleast what size?c. Suppose 2 of the remaining (300-18) components are randomly selected and used in a system thatrequires both to be non-defective. Let q be the probability the system functions (none of the 2 selectedcomponents are defective). Construct the 95% confidence interval for q.

Given that a random sample of 300 electronic components are selected from a large run of a new…

Answered: 10. A random sample of 300 electronic…

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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(3.) A system contains components connected in parallel as shown in the diagram. If all components operate inderentently, & each component has probability 0.45 of failing What is the minimum number of components that must be connected in parallel so that th Probability that the system operateds exceeds 0.9999? The minimun number of components that must be connected in parallel is.
1. In a study of perception, 110 men are tested and 24 are found to have red/green color blindness (based on data from USA Today). Assume that this was done in a simple random manner. A 95% confidence interval estimate of the proportion of all men with red/green color blindness was found to be 0.14 to 0.30. If we learn that the actual population proportion of men with red/green colorblindness is equal to 0.12, then what can we conclude? A. The confidence interval was wrong. B. We would need to see the sample data to make any conclusions Pick either answer A or B as your answer and show your work to go with it
18. In the most recent census it was found 65% of those living in one state owned their own home. What sample size is needed to construct the 95% confidence interval to within 0.04 ? D. 944 C. 770 B. 547 A. 385
A recent survey of 1030 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.
Suppose a 95% confidence interval for the difference in test scores between Class 1 and Class 2 (in that order) is the following: 9 +/− 2. These results were based on independent samples of size 100 from each class. Now suppose you switch the order of Class 1 and Class 2 in your analysis but keep the data labeled correctly in terms of which class they came from. Which of the following statements is false? A) You can't do it this way. You'll get negative numbers for the difference in the means and/or negative numbers for the standard error. B) You are confident that the average for Class 2 is 7 to 11 points lower than for Class 1. C) You are still confident that the classes have significantly different mean scores. D) Your 95% confidence interval will now be entirely negative: from −7 to −11.
Suppose we randomly select n=2000 Douglas College students and we find that 205 of these students are left-handed. What is the 95% confidence interval for p= the proportion of left-handed students at Douglas? Fill in the blanks (round to three decimal places): We are 95% confident that p is between and .
10. Suppose we sample 300 UNI students and find the 27 regularly wear a watch. Find a 98% confidence interval for p, the percentage of all UNI students who regularly wear a watch.
2. Bob draws a simple random sample from an extremely large population of lemons. The sample size is n=700 and in the sample 250 lemons turn out to be good and 450 lemons turn out to be bad. Find the 95% confidence interval for the population proportion p of good lemons.
7. use the given confidence interval to find the margin of error and the sample proportion. a. (0.719,0.745) b. (0.753,0.777)
1. Suppose a random sample of 32 National Football League players had an average weight of 252.5 pounds. Assume that the standard deviation for weight of all players in the league is 31 pounds. Determine the margin of error for a 99% confidence interval for this sample.
14. The sales price of a specific brand of cereal is believed to be normally distributed. Data were collected for a sample of 16 boxes of that brand of cereal. If the sample mean is 2 OMR and the sample standard deviation is 0.4 OMRthen the 90% confidence interval for the population mean is A. (1.8355 , 2.1645) B. (1.8040 , 2.1960) C. None D. (1.8247 , 2.1753)
3. Bob draws a simple random sample from an extremely large population of lemons. The sample size is n=925 and in the sample 576 lemons turn out to be good and 349 lemons turn out to be bad. Find the 99% confidence interval for the population proportion P of good lemons.

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