Answered: How large a sample would have to be…

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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For a population with mean of μ X = 30 and standard deviation of σ X = 4 , the z-score corresponding to X = 28 is:
The following are the stopping times (in seconds) of 4r/s vehicles after breaking at 65mph:3,4,5,8. Use an appropriate formula to find the standard deviation of this sample.
A distribution with a mean of μ =41 and a standard deviation of σ = 4 is transformed into a standardized distribution with μ=100 and σ= 20. Find the new, standardized score for each of the following values from the original population. 1.Original X= 39. Transformed X=? 2.Original X=36 . Transformed X=? 3.Original X=45. Transformed X=? 4.Original X=50. Transformed X=?
Assume that X is normally distributed with unknown mean and standard deviation equals. Given that P(X<2.1) = 0.025, what is the value of μ ?
A normal population sample has a standard deviation of 16 and sample size m = 100 . The rejection region for testing H0: ? = 5 ?????? Ha: ? = k is that X > k − 2. Find the value of k that will allow P(X > k− 2|H0: ? = 5 )=0.0228.
Assume that the body mass index (BMI) of all American young women follows a Normal distribution with standard deviation σ = 7.5. How large a sample would be needed to estimate the mean BMI μ in this population to within ±1 with 95% confidence? (Enter your answer as a whole number.)
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.78. (c) How large a sample size is necessary if the width of the 95% interval is to be 0.31? (Round your answer up to the nearest whole number.) ? specimens (I have answers for a, b, and d I just need help with c, the answer is not 24.32)
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 88 and standard deviation σ = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 140 (borderline diabetes starts at 140)
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.72. (c) How large a sample size is necessary if the width of the 95% interval is to be 0.45? (Round your answer up to the nearest whole number.) ................ specimens(d) What sample size is necessary to estimate true average porosity to within 0.24 with 99% confidence? (Round your answer up to the nearest whole number.) ................. specimens

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How large a sample would have to be drawn to make these limits differ by only 0·1 gm, assuming that the standard deviation of the whole distribution is 1·25 gm at 5% L.O.S.?