Consider a normal random sample from population N (u, o2). where 2 is assumed to be...

 

Transcribed Image Text:

Consider a normal random sample from population N (u, o2). where 2 is assumed to be known. Consider the following hypotheses: Ho : µ = Ho v. s. H1 u = µ1 < lo Let the rejection region be {T : < po - zao/ VTn}, then the type-l error is B = P(X > Ho – zao/Vn | u = H1). 1. For a fixed sample size n, when a decreases, B will . (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 2. For a fixed sample size n, when Bdecreases, a will .(Type in "O" if you think it will decrease, and "1" if you think it will increase.) 3. Let o = 0.12, u1 = Ho – 0.02, a minimum number of samples are needed if we want to ensure that a < 0.05, 8 < 0.025. (Hint: round UP to the nearest integer.) Consider a normal random sample from population N (u, o2). where 2 is assumed to be known. Consider the following hypotheses: Ho : µ = Ho v. s. H1 u = µ1 < lo Let the rejection region be {T : < po - zao/ VTn}, then the type-l error is B = P(X > Ho – zao/Vn | u = H1). 1. For a fixed sample size n, when a decreases, B will . (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 2. For a fixed sample size n, when Bdecreases, a will .(Type in "O" if you think it will decrease, and "1" if you think it will increase.) 3. Let o = 0.12, u1 = Ho – 0.02, a minimum number of samples are needed if we want to ensure that a < 0.05, 8 < 0.025. (Hint: round UP to the nearest integer.)