Given a normal population whose mean is 650 and whose standard deviation is 22,

ID: 3173976 • Letter: G

Question

Given a normal population whose mean is 650 and whose standard deviation is 22, find each of the following:

A. The probability that a random sample of 3 has a mean between 651 and 656.

Probability =

B. The probability that a random sample of 15 has a mean between 651 and 656.

Probability =

C. The probability that a random sample of 27 has a mean between 651 and 656.

Probability =

Given a normal population whose mean is 650 and whose standard deviation is 22, find each of the following:

A. The probability that a random sample of 3 has a mean between 651 and 656.

Probability =

B. The probability that a random sample of 15 has a mean between 651 and 656.

Probability =

C. The probability that a random sample of 27 has a mean between 651 and 656.

Probability =

A)here std error =std deviation/(n)1/2 =12.7017

therefore P(651<X<656)=P((651-650)/12.7017<Z<(656-650)/12.7017)=P(0.07873<X<0.4724)=0.6817-0.5314

=0.1503

B)std error =std deviation/(n)1/2 =5.68

therefore P(651<X<656)=P((651-650)/5.68<Z<(656-650)/5.680)=P(0.1760<X<0.1.0563)=0.8546-0.5699=0.2847

C))std error =std deviation/(n)1/2 =4.2339

P(651<X<656)=P((651-650)/4.2339<Z<(656-650)/4.2339)=P(0.2362<X<0.1.4171)=0.9218-0.5934=0.3284

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.