6-29. Comment on the following:(a) The standard deviation of a distribution is invariant under changes of origin and scale.(0) f the mean and the standard deviation ofn observations XI, X2..., x, bex and ở respectively, themean and standard deviation of-x),-x, ..- x, will be-x and-o respectively.

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Answered: 6-29. Comment on the following : (a)…

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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ats 2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean of 67 inches and standard deviation of 2.5 inches. (a) Graph this normal distribution and label the x-axis. (b) What proportion of these men were between 66 and 68 inches tall? belool vin (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height? [Use the normal distribution function in Excel, not the Empirical Rule] (d) What height corresponds to the 95th percentile in the Galton study?
The graph illustrates the distribution of test scores taken by College Aigebra students. The maximum possible score on the test was 140, while the mean score was 76 and the standard deviation was 14. 34 48 62 76 90 104 Distribution of Test Scores What is the approximate percentage of students who scored between 76 and 90 on the test? What is the approximate percentage of students who scored higher than 104 on the test? What is the appraximate percentage of students who scored higher than 118 on the test? What is the approximate percentage of students who scored between 48 and 104 on the test?
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12. The following means, standard deviations and correlations are found for X1 = = seed hay crop in cwts. per acre, X2 = spring rainfall in inches, X3 = accumulated temperature above 42° F in spring, in a certain district of England during twenty years. %3D |3D X = 28-02, 01=4-42, r12 =+ 0-80, 0.40, X2 = 4.91, 02 = 1·10, r13 =- -- Ò -56. %3D X3 = 594, ơ3 = 85, r23 = - 0-56. %3D Find the partial correlations and the regression equations for hay-crop on spring rainfall and accumulated temperature,
43. From the following data compute the value of harmonic mean: 20-30 30-40 40-50 10-20 50-60 Class interval 6 S 10 7. Frequency
J2.
#10. A psychologist is studying the self image of smokers, which she measures by the self image (SI) score from a personality inventory. She would like to estimate the mean SI score, U ( mean population), for the population of all smokers. She plans to take a random sample of SI scores for smokers an estimate U (population mean) via the sample. Assuming that the standard deviation of SI scores for the population of all smokers is 82, what is the minimum sample size needed for the psychologist to be 99% confident that her estimate is within 12 of U (population mean)? Carry your intermediate computations to at least three decimal places write your answer as a whole number, and make sure it is the minimum whole number that satisfies the requirements .
Q. 32. Calculate Q, and Qs for the following frequency distribution; Class Interval Frequency c.f. 5--9 10-14 6. 11 15-19 15 26 I 20-24 10 36 25-29 41 II 30-34 4 45 35-39 47 40-44 49 N=49

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