To test this 25 bottles of catsup were selected.Do the contents of bottles of catsup have a net weight below an advertised threshold of 16 ounces?.H0: = 0 HA: z0) if HA: >0 p-value= P(z z0) for z0>0 p=p-value = 2.P(z 0.01, we cannot reject H0 at 1% significance level 61 Example 0 x z / n 1- /2/2 z/2-z/2 Reject H0 Reject Hp Do not reject H0 55 HYPOTHESIS TEST FOR POPULATION MEAN, One-sided Tests Test Statistic Rejecting Area 1. An interval (l(x1,x2,…,xn), u(x1,x2,…,xn)) is called a 100 % confidence interval (CI) for if where 00.t(x1,…,xn) is location-scale invariant iff t(cx1+d,…,cxn+d)= t(x1,…,xn) for all values of x1,…,xn and a constant c>0.An estimator t(x1,…,xn) is defined to be a location-scale equivariant iff t(cx1+d,…,cxn+d)= ct(x1,…,xn)+d for all values of x1,…,xn and a constant c>0. of a distribution with pdf (or pmf) f(x ) . is a location parameter and is a scale parameter for f(x) iff the distribution of (X)/ does not depend on and.The family of pdfs f(x)/ for >0, indexed by parameter (,), is called the location-scale family with standard pdf f(x) and is a location parameter and is the scale parameter for the family. t(x1,…,xn) is scale invariant iff t(cx1,…,cxn)= t(x1,…,xn) for all values of x1,…,xn and a constant c>0.An estimator t(x1,…,xn) is defined to be a scale equivariant iff t(cx1,…,cxn)= ct(x1,…,xn) for all values of x1,…,xn and a constant c>0. is a location parameter for f(x) iff the distribution of X does not depend on .The family of pdfs f(x) indexed by parameter , is called the location family with standard pdf f(x) and is the location parameter for the family. ![]() ¡Descarga Estimación de parametros y más Monografías, Ensayos en PDF de Estadística solo en Docsity! STATISTICAL INFERENCE PART II CONFIDENCE INTERVALS AND HYPOTHESIS TESTING 1 2 LOCATION PARAMETER
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