.16 Let X, X2,..., X, be a random sample from a continuous, symmetric probability distribusenwith unknown, finite population mean 0. An unbiased and efficient point estimate of 88 = 10. If an exact one-sided 99% confidence interval for 0 is0< 14give an exact two-sided 98% confidence interval for 0.

We have to create 98% confidence interval using the given information.

Answered: 16 Let X, X2, ..., X, be a random…

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.)
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Suppose scores on exams in Statistics are normally distributed with an unknown population mean and a sample standard deviation of 3 points. A random sample of scores with sample size equal to 36 gives a sample mean of 68. Find a confidence interval (CI) estimate for the population mean exam score for a) 90% CI and b) 95% CI, separately.
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Let X equal the length of life of a 60-watt light bulb marketed by a certain manufacturer. We do not know the distribution of X except that Var(X) = 1158. Let u be the mean of X. Suppose a random sample of n = 25 bulbs is tested until they burn out, yielding a sample mean of = 1368 hours. (i) Compute an approximate 95% confidence interval for u. (ii) Compute an approximate 95% one-sided confidence interval for that provides a lower bound for u, i.e. compute & such that ɛ P(X - ≤ μµ)≈ 0.95.
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Which of the following would compute a CRITICAL VALUE for a 96% level of confidence to estimate the population mean when sigma is known and the sample size is 25. =T.INV(0.02,25) =T.INV.2T(0.04,24) =T.INV.2T(0.04,25) =NORMSINV(0.02) =NORMSINV(0.04) =T.INV(0.04,24) =NORMSINV(0.96)
2. Scored obtained by a large group of students taking a test are known to be normally distributed. A random sample of twenty-five students test scores yielded the following statistics: 25 と=1Xi 25 1508 x - 95628 Find a 95% confidence interval for the population mean.
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