Let X1, X2, X3, ..., X, be a random sample from a distribution with known varianceVar(X,) = o², and unknown mean EX, = 0. Find a (1 – a) confidence interval for 0.Assume that n is large.

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Answered: Let X1, X2, X3,..., X, be a random…

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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A simple random sample without replacement was used to select 5 clusters from a population of 29 clusters. From each selected sample cluster simple random sampling without replacement was used to select samples of secondary units. For this data find an estimate of the population total and the population mean along with their estimated variances. clmemb clsize yval [1,] [2,] [3,] [4,] [5,] [6,] [7,] [8,] [9,] [10,] [11,] [12,] [13,] [14,] [15,] [16,] [17,] [18,] [19,] [20,] [21,] [22,] [23,] [24,] [25,] [26,] [27,] [28,] [29,] [30,] [31,] [32,] [33,] 1 20 46.07 20 45.54 20 43.07 1 1. 1 20 49.29 1 20 44.35 1 20 45.21 2 33 44.11 2 33 42.19 2 33 44.42 2 33 40.05 2 33 43.88 2 33 47.45 2 33 40.41 2 33 43.24 3 22 35.42 3 22 35.46 3 22 36.34 3 22 35.25 4 40 38.67 4 40 34.73 4 40 39.28 4 40 35.26 4 40 39.84 4 40 40.32 4 40 40.03 4 40 38.15 4 40 38.69 4 40 39.38 18 47.48 18 44.78 5 18 44.37 18 44.97 5 18 49.20
Assume a normally distributed population with a mean = 90 and standarddeviation = 12. Be sure to sketch the curves, include formulas & round appropriately. If you select one person at random from this population (M = 90, SD = 12)and find his/her score on this variable to be 68 would you be surprised/consider this score extreme (yes/no)? Why/why not? Be sure to show your work when justifying the answer.
Please note the question is: What is the distribution of the t-test statistic if m, n -----> ∞ ?
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IQs measured on a certain scale are normally distributed with a mean of 90 and a variance of 400. whats the probability that a random person will have an IQ between 120 and 130. the IQ of 51 people was taken, a sample mean of 90 and standard deviation of 64 was obtained. does this support that people tend to have IQs<100? use a 5% level of significance.
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Let X1, X2, X3,..., X, be a random sample from a distribution with known variance Var(X,) = o?, and unknown mean EX, = 0. Find a (1 – a) confidence interval for 0. Assume that n is large. %3D