c.) Use a normal approximationto find the Pr{76 < > < 84}. Suppose a random sampleof n = 64 measurements isselected from a populationwith mean µ = 80and variance (not standarddeviation) 02 = 256.a.) Calculate the mean andstandard deviation of thesampling distribution of thesample mean X. That is,calculate E[X] = μx and ox.b.) Use a normal approximationto find the Pr{X < 77}.8.

Given that the sample size is n=64, the population mean is μ=80 and the population variance is…

Answered: c.) Use a normal approximation to find…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose X1, ..., Xn have been randomly sampled from a normal distribution with mean 0 and unknown variance sigma^2, and let U = c * i=1 -> n summation (X_ i)^2 , where c is a constant. Find the value of c that minimises the Mean Squared Error (MSE)
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (a) Write the claim mathematically and identify H0 and Ha. A. H0: σ2≤1.33 (Claim) Ha: σ2>1.33 B. H0: σ2≠1.33 Ha: σ2=1.33 (Claim) C. H0: σ2≥1.33 Ha: σ2<1.33 (Claim) D. H0: σ2=1.33 (Claim) Ha: σ2≠1.33 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. A. The…
7 Let X1,...Xn be iid Normal( θ+ c, σ^2), where c and σ ^2 are known constants (i.e., E(Xi) = θ + c). Find a sufficient statistic forθ then obtain the minimum-variance unbiased estimator for θ.
Assume X_1, X_2, .....X_n are random samples from X~Exponential(θ).1) Find the MLE estimator of θ .
Suppose X, Y, Z are iid observations from a Poisson distribution with parameter λ, which is unknown. Consider the 3 estimators T1 = X + Y − Z, T2 = 2X + Y + Z 4 , T3 = 3X + Y + Z 5 . (a) Which among the above estimators are unbiased? (b) Among the class of unbiased estimators, which has the minimum variance?
Assume that you have a sample of n1=7 , with the sample mean X1=44 , and a sample standard deviation of S1=6 , and you have an independent sample of n2=6 from another population with a sample mean of X2=32 and the sample standard deviation S2=5 . Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that μ1>μ2?
Let X1,. X, be a sample from normal with mean theta and variance 1, and consider the sequence of estimators Xn = , Show, by using the definition, that Xn, is consistent. That is, show that P(|Xn-theta|<epsilon) -> 1, as n -> infinity.
) A random sample of 20 nominally measured of the length of a plastic ball is taken and the lengths are measured precisely. The measurements, in mare as follows 2.02 1.94 2.09 1.95 1.98 2.00 1.03 204 2,08 2,07 1.99 1.96 2.99 195 1.99 2.99 2.03 2.05 201 2.03 From the data, we caletilite Ex = 41.19, Ex* = 87.6977 Assuming that the lengths are normally distributed with unknown mean , and unknown variance 82 I find a 90% confidence interval for the variance of Interpret your results find a 90% confidence interval for the standard deviation Interpret your results.
Let (X1,...,Xn) be a random sample of random variables with EX21 < ∞. Consider estimating µ = EX1 under the squared error loss. Show that (i) any estimator of the form a ¯ X+bis inadmissible, where ¯ X is the sample mean, a and b are constants, and a>1;
In a hypothesis test with hypotheses Ho: μ ≤ 54 and H1: μ > 54, a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the critical value of t ?
Consider the following information on ultimate tensile strength (lb/in) for a sample of n = 4 hard zirconium copper wire specimens (from “Characterization Methods for Fine Copper Wire,” Wire J. Intl., Aug., 1997: 74-80): X (bar)= 76,831 s = 180 smallest xi = 76,683 largest xi = 77,048Determine the values of the two middle sample observations (and don’t do it by successive guessing!).
If X1 and X2 constitute a random sample of size n = 2from an exponential population, find the efficiency of 2Y1relative to X, where Y1 is the first order statistic and 2Y1and X are both unbiased estimators of the parameter

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

c.) Use a normal approximation to find the Pr{76 < X < 84}.