Question

QUESTION 4

When the mean is 52, the sample size is 25, and the standard deviation is 2, the probability of committing Type II error when P( 50 <    < 54) is one (1).

True

False

Answer 1

When the mean is u = 52, the sample size is n=25 and the standard deviation is o=2. The probability of committing type II error when P(50 < X < 54) is calculated as follows: P(50 < X <54)=P 50-52 X - To 54 - 52 ho 125 Unn = P(-5<Z<5) = P(Z <5)- P(Z <-5) (From table P(Z <5) zl and P(Z <-5)=0) =1-0 = 1 Hence, \P(50< X <54)=1, therefore it is true.