(1) Let Z follow the standard normal distribution. Show your manual work to find z such that P(Z>z)=0.95 (hint: we need to find the left area first then inversely find the z; be careful about the sign of z-value.).
(2) Let Z follow the standard normal distribution. Show your Excel stats function to find z such that P(Z>z)=0.95 (the same hint above).
(3) Let Z follow the standard normal distribution. Show your manual work to find z such that P(-z<Z<z)=0.95 (the same hint above, key to learn Ch. 7)
(4) Let Z follow the standard normal distribution. Show your Excel stats function to find z such that P(-z<Z<z)=0.95 (the same hint above. key to learn Ch. 7).
(5) Let X follow a normal distribution with a mean of 10 and a standard deviation of 2. Show your manual work to find x such that P(X<x)=0.95 (hint: x is an upper end “above” the mean)
(6) Let X follow a normal distribution with a mean of 10 and a standard deviation of 2. Show your Excel Stats functional work to find x such that P(X<x)=0.95 (hint: x is an upper end “above” the mean)
(7) Let X follow a normal distribution with a mean of 10 and a standard deviation of 2. Show your manual work to find x such that P(X<x)=0.05 (hint: x is a lower end “below” the mean)
(8) Let X follow a normal distribution with a mean of 10 and a standard deviation of 2. Show your Excel Stats functional work to find x such that P(X<x)=0.05 (hint: x is a lower end “below” the mean)
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