In order to determine the percentage p of units from certain statistical population which share acertain characteristic C, what is the size n of a sample that will ensure a 90% confidence intervalfor p with a margin of error of at most +/-1%?An estimation using the standard error formula (from the confidence interval for population proportions) gives the minimum size n of a sample to ensure such a confdencelevel and error margin in estimating p as[N]

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Answered: In order to determine the percentage p…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x= 68 and the sample standard deviation is found to be s = 11. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
If a random sample of size n = 49 is taken from a population with a mean of μ = 100 and a standard deviation of σ = 8, what is the 95% confidence interval for the sample mean (x̄)?
A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.3 and the sample standard deviation is found to be x=12.3. Construct a 99% confidence interval for the population mean.
The width of the confidence interval estimate of the population mean μ is a function of only two quantities: the population standard deviation σ and the sample size n
A simple random sample of size n= 12 is drawn from a population that is normally distributed. The sample mean is found to be x= 63 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
A random sample of 15 values was selected from a population, and the sample standard deviation was computed to be 68. Based on this sample result, compute a 90% confidence interval estimate for the true population standard deviation sos (Round to two decimal places as needed.)
An SRS of 20 orangutans is selected, and 65 cc of blood is to be drawn from each orangutan using a 100 cc syringe. In the sample, the mean volume is 64 cc and the standard deviation is 12 cc. Assume that in the population of all such procedures, the amount of blood drawn follows ą Normal distribution with mean u. A 90% confidence interval for the population mean volume based on these data is
The life time (age) in hours of a random sample of one of the batteries produced in Jordan gave the following summary: of Sample size Sample Average Sample Standard deviation n = 9 X = 95 S = 3 A 98% confidence interval for the population standard deviation O is: a) (1.09 , 17.86) b) (1.09 , 6.61) c) (1.89 , 6.61) d) (3.58 , 43.7) e) (1.04, 4.23)
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 random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 62.25. Suppose that the population standard deviation is known to be 3. Which of the following is correct? A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be wider than a 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. b. A 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be narrower than a 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. c. A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students would be narrower than a 90% Z confidence interval for the true population mean that is…
When a population is finite, the formula that determines the standard error of the mean o, needs to be adjusted. If N is the size of the population and n is the size of the N-n . The expression Vn VN-1 N-n is called the finite population correction factor. Use the finite sample (where n20.05N), then the standard error of the mean is o- = N-1 population correction factor to construct the confidence interval for the population mean described below. c =0.99 x=24.4 o = 7.9 N= 800 - n=81 The 99% confidence interval for the population mean is ( ). (Round to two decimal places as needed.)
Consider a confidence interval, with confidence coefficient 1-a, for the mean of a normal distribution with known variance o2, based on a random sample of n observations. How does the width of the interval change (i) as n is increased, keeping o² and a fixed; (ii) as o2 is increased, keeping n and a fixed; (iii) as a is decreased, keeping n and o2 fixed? The standard deviation of the lifetime of a certain type of electrical component is 144 hours. How large a sample of the components must be taken to be (a) 95%, (b) 99% confident that the error in the estimated mean lifetime of such components will not exceed (i) 15 hours, (ii) 20 hours?

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