Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, calculate P(a < X < b) where "a" and "b" are shown on right. Round z-scores off to 2 decimals.

μ =15

s = 2

a =16

b =20

Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, calculate P(X > a) where "a" is shown on right. Round z-scores off to 2 decimals.

μ =17

s = 2

a =16

Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, calculate P(X < a) where "a" is shown on right. Round z-scores off to 2 decimals.

μ =20

σ = 2

a =16

Given a normally distributed random variable, X, with mean and standard deviation shown on the right, calculate the z-score for a value of X given on the right.

μ =10

s = 2

x =13

Calculate the approximate value Zα for the value of α shown on the right. Round z off to 2 decimal places.

α =0.0985

Given a normally distributed random variable, X, with mean and standard deviation shown on the right, identify what would be considered the "edges" of the distribution as defined by your professor.

μ =13

s = 3

Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, find the value for "a" such that P(X > a) = p for p given on right. Round Z scores off to 2 decimal places.

μ =20

s = 3

p =0.99

Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, if a sample of size n were taken, what is the mean of the sampling distribution of the sample mean X-Bar, or E(X-Bar)

μ =30

s = 7

n =49

Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, if a sample of size n were taken, what is the standard deviation of the sampling distribution of the sample mean X-Bar.

μ =23

s = 7

n =40