A random sample of 375 bolts from machine A contained 26 defective bolts, while an independently chosen, random sample of 300 bolts from machine Bcontained 33 defective bolts. Let p, be the proportion of the population of all bolts from machine A that are defective, and let p, be the proportion of thepopulation of all bolts from machine B that are defective. Find a 90% confidence interval for p, -p,. Then find the lower limit and upper limit of the 90%confidence interval.Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list offormulas.)Lower limit:Upper limit:

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Answered: A random sample of 375 bolts from…

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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Alessandro constructed three confidence intervals, all from the same random sample. The confidence levels are 90%, 95%, and 99%. The confidence intervals are Ⅰ. <6.2<μ7.8 Ⅱ. <6.1<μ7.9 Ⅲ. <5.8<μ8.2 Unfortunately, Alessandro has forgotten which confidence interval has which level. Match each confidence interval with its level.
A sample of 153 was selected from a large population. 69% of the sample had a characteristic of interest. Calculate a 99% confidence interval estimate for the proportion of the population with the characteristic.
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A statistical study is made to compare the % of smokers in small rural towns to the overall smoking rate of the US. Of 1500 asults selected randomly from small towns it is found that 285 of them smoke. With a cofidence interval of (017, 0.21). The CDC reports that 15.1% of all American adults smoke. Does the confidence interval suggest that smoking rate is higher in small towns than in the country overall?
A 95% confidence interval was calculated to be (15, 21). This means that if 100 such confidence intervals (CIs) were constructed, then 95% of the CIs will be (15,21) 95% of the CIs will include the population mean The population mean would lie between (15,21) 95 times. The population mean would be found in about 95 of the CIs.
A new drug is being compared with a standard drug for treating a particular illness. In the clinical trials, a group of 200 patients was randomly split into two groups, with one group being given the standard drug and one group the new drug. Altogether, 83 out of the 100 patients given the new drug improved their condition, while only 72 out of the 100 patients given the standard drug improved their condition. Construct a one-sided confidence interval and calculate a one-sided p-value to investigate the evidence that the new drug is better than the standard drug.
Researchers want to test a new hand exercise plan for arthritis patients to see if they have improved flexibility. They recruited 110 patients with arthritis in their hands and randomly assigned them to one of two treatment groups: group i took their regular medicine and did the new hand exercises; and group 2 only took medicine. After one month, 42 of the 55 in group 1 improved in their flexibility, and 37 of the 55 in group 2 improved their flexibility. Based on the 95% confidence interval (-0.076, 0.258), is there convincing evidence of a difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along with taking the medicine versus just taking the medicine? v to believe there va difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along with taking the medicine versus just taking the medicine. Because v contained in the interval, there…
A simple random sample of size n=17 is drawn from a population that is normally distributed. The sample mean is found to be x= 69 and the sample standard deviation is found to be s= 20. Construct a 95% confidence interval about the population mean. ..... The lower bound is The upper bound is
A statistical research yields to the sample proportion of a certain feature in a certain community be 0.43. Find the required sample size for a maximum margin of error of 0.06 for a 90% confidence interval.

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