Bernoulli(p).Assuming a previous random sample X₁,..., XnSet MOE=Eo for a 100(1-a) % CI for p, which of the followingis an educated guess of the smallest sample size?(A)(B)(C)(D)Za/2(26/12)222a/2X(1-X)EoZa/22E₁Zα/2Eo2X(1 – X)22i.i.d

The question is about sample size estimation.Given :Margin of error ( MOE ) = E0

Answered: i.i.d Assuming a previous random sample…

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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Q2(10). Many scientists are concerned about changes in the ice thickness due to global warming. Suppose the historical mean thickness of the ice just off the coast of Barrow, Alaska, is 3.32 meters. A random sample (n = 28) of the ice thickness near Barrow during 2008 was obtained. Assume o = 2.8 meters, and the underline distribution is normal. 1(5). Suppose the sample mean ice thickness is 4.036 meters, conduct a hypothesis test to determine whether there is any change in the mean ice thickness. Use a = 0.01. 2(5). Find the probability of a type Il error if the true ice mean thickness is 3.0. That is B(3.0).
A random sample is drawn from a population with mean U= 72 and standard deviation o = 6.0. [You may find it useful to reference the z table.) a. Is the sampling distribution of the sample mean with n= 17 andn= 45 normally distributed? O Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n=17 will have a normal distribution. O No, only the sample mean with n= 45 will have a normal distribution, b. Calculate the probability that the sample mean falls between 72 and 75 for n= 45. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 1 of 8 Next > ere to search (? A R G B
Suppose that average male weight in the US is 175 pounds with a standarddeviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean Xn. A. What is the variance of the sample mean Xn? B. Use your answer to part (A), and Chebyshev’s inequality, to come up with a quantitative upper bound for the probability that sample mean Xn is more than a certain distance of 175
Let m denote margin of error, n sample size and σ standard deviation. m= zα/2(σn) Solve the above equation for n.
11-
. In testing the hypothesis Ho : μ = 75 vs H₁ : µ ‡ 75, the following information is known: n=64, x = 78 and ²: = 100. The test statistic is equal to: (a) -2.4 (b) 2.4 (c) 1.96 (d) -1.96 (e) None of the above
5.22 a. Form the probability distribution table for P(x) = , for x = 1,, 2, 3. %3D b. Find the extensions xP(x) and x²P(x) for each x. Find E[xP(x)] and E[x*P(x)]. d. Find the mean for P(x) = , for x = 1, 2, 3. 2 e. Find the variance for P(x) =, for x = 1, 2, 3. 6' f. Find the standard deviation for P(x) = *, for o 62 aluvilidsdon х%3D 1, 2, 3.
a sample is selected from a normal population with u=40 and σ =12. If the sample mean of M=36 corresponds to z=-2.00, then the sample size is n=64. is it true or false
A sample of n=4 scores has a mean of M=75. Find the z-score for this sample: a. If it was obtained from a population with u= 80 and o=10. b. If it was obtained from a population with u=80 and o=20.
6. Find the median of an exponential random variable X with parameter 1 = 4. (The median of X is m iff P(X < m) = 0.5.) Does it differ from E(X)? Try to explain.
Example 9-4. X is a normal variate with mean 30 and S.D. 5. Find the probabilities (i) 26 45, and (iii) |X – 30l > 5.

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i.i.d Assuming a previous random sample X₁,..., X₁ ~ Bernoulli (p). Set MOE=Eo for a 100(1-a)% Cl for p, which of the following is an educated guess of the smallest sample size? (A) (B) (C) D) 2 Za/2 (2/2) X(1-X) (22a/2 Eo Za/2 2E0 Za/2 Eo 2 2 2 X(1 - X)