To test Ho: µ= 50 versus H,: µ< 50, a random sample of size n = 22 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.E Click here to view the t-Distribution Area in Right Tail.(a) If x = 47.1 and s = 12.4, compute the test statistic.tn =(Round to three decimal places as needed.)

Given that Sample size n =22 Sample mean =47.1 Standard deviation =12.4

Answered: To test Hn: µ= 50 versus H,: µ < 50, 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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Find the mean and variance of the gamma distributionusing integration to obtain E(X) and E(X2).[Hint: Express the integrand in terms of a gammadensity.]
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The article “Monte Carlo Simulation—Tool for Better Understanding of LRFD” (J. of Structural Engr., 1993:1586–1599) suggests that yield strength (ksi) for A36 grade steel is normally distributed with a mean of 50.2 ksi and a standard deviation of 3.8 ksi.. What yield strength separates the strongest 5% from the others? (Use 2 decimal places) Show the area of interest in the density curve.
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Consider the following 10 measurements about the cohesion of a soil: 12 kPa, 14 kPa, 15 kPa, 14.5 kPa, 16.0 kPa, 18 kPa, 15 kPa, 16.2 kPa, 17. 6 kPa, 13 kPa. Work out the solutions of the following two problems, assuming the cohesion follows the normal and lognormal distributions, respectively. (1) Draw the PDF of the cohesion; (2) Evaluate the probability that the cohesion based on the PDF is less than 5 kPa, 10 kPa, and 15 kPa; (3) Assess the effect of the type of distribution on the results.
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The article “Monte Carlo Simulation—Tool for Better Understanding of LRFD” (J. of Structural Engr., 1993:1586–1599) suggests that yield strength (ksi) for A36 grade steel is normally distributed with a mean of 50.2 ksi and a standard deviation of 3.8 ksi. What is the probability that the yield strength is greater than 60? (Use 4 decimal places) Show the area of interest in the density curve.
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