Given the hypothesis testing solution ,give an example for each of the Type I and Type II errors. By using t statistic as hypothesis test, o of the population data is not known and oʻx=o°yVariable XVariable Yn=50, x=1197.32, s,=11510.67m=50, y=1297.18, s, = 10689.86Let ug = mean brain weights of female of age <18, µ, = mean brain weights of male age <18Ho: Hx = HyH1: Hx < Hy (LTT)49(11510. 67) + 49(10689. 86)50 + 50 – 2Pooled Variance, sp= 11100.27(1197. 32 – 1297. 18)–0t=-4.7391V11100. 27( + )p-value approach, a= 0.05P(T<-4.7391) = 3.63594x10-6= 0.00000363594p-value < 0.05, Hence reject null hypothesis Ho.At a= 0.05, We have sufficient evidence to conclude that mean of brain weights of brain weightsof female of age <18 is lesser than mean brain weights of male of age <18 Condition checking 1:n=50 (n 230) m=50 (n 230)The sample size, n for the brain weights of female and male of age less than 18 years old(variable X and variable Y) is equals to 50. Sample size greater than or equals to 30 is usuallyconsidered as a large sample.According to the Central Limit Theorem, the sampling distribution of X and Y for a relativelylarge sample size is approximately normal, irrespective of the shape of the populationdistribution.To choose a distribution, first standard deviation, o of data is checked whether is known or notknown, then whether oʻy= o, or of;+ o, is checked.Assume that variance for Variable X and variance of Variable Y are equalHọ: ox= o°yBased on the value obtained in descriptive statistic:ox=11510.67, o, = 10689.8611510. 67F=10689. 86= 1.0768d= 49 df-490.05 Fo.025,49,49 = 1.6073Since F < 1.6073, we cannot reject null hypothesis HoHence, with a= 0.05, we have sufficient statistical evidence to conclude that of=o.Since the standard deviation, o of the population data is not known and o,=o°y, t test statistic isused.

Type I error is the error of rejecting a null hypothesis when it is actually true. It is a false…

Answered: Given the hypothesis testing solution…

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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