Question

In: Statistics and Probability

Suppose X~ N (−2,8) . (a) What value of x has a z-score of 3? (b)...

Suppose X~ N (−2,8) .

(a) What value of x has a z-score of 3?

(b) What value of x has a z-score of −2.7 ?

(c) What is the z-score of x =−3 ?

Expert Solution

solution

(A)

Using z-score formula

x= z * +

x= 3 *8+-2

x= 22

(B)

Using z-score formula

x= z * +

x= -2.7 *8+-2

x= -23.6

(C)

using z-score formula

z =X -/

z=(-3)-(-2)/8

z= - 0.125

orchestra answered 2 years ago

In a distribution, X=75, and standard deviation=5. if z=3 is the maximum z score value of...

In a distribution, X=75, and standard deviation=5. if z=3 is the maximum z score value of a data value in the distribution, and z=-2 is the minimum z score value of data in the distirbution, then the range of the distiribution is equal to? show work and explain

Find the z-score corresponding to a score of X= 40 and the X value corresponding to...

Find the z-score corresponding to a score of X= 40 and the X value corresponding to z = 0.25 for each of the following distributions. a. μ = 50 and σ = 20 b. μ = 50 and σ = 4 c. μ = 30 and σ = 8 d. μ = 30 and σ = 4

How do you convert a data value to a z-score? What is a z score? What...

How do you convert a data value to a z-score? What is a z score? What is the empirical rule?

In each situation below, calculate the standardized score (or z-score) for the value x. (a) Mean...

In each situation below, calculate the standardized score (or z-score) for the value x. (a) Mean μ = 0, standard deviation σ = 1, value x = 1.5. (b) Mean μ = 11, standard deviation σ = 7, value x = 4. (c) Mean μ = 15, standard deviation σ = 5, value x = 0. (d) Mean μ = -10, standard deviation σ = 10, value x = -30.

How do I calculate a Z-score without an x value?

Which mean, standard deviation, and x-value set corresponds to a z-score of -2? a.) x-value =...

Which mean, standard deviation, and x-value set corresponds to a z-score of -2? a.) x-value = 35 mean = 21 standard deviation = 7 b.) x-value = 80 mean = 90 standard deviation = 10 c.) x-value = 50 mean = 60 standard deviation = 5 d.) x-value = 89 mean = 80 standard deviation = 9

What is the z-score of x = 4, if it is 0.199 standard deviations to the...

What is the z-score of x = 4, if it is 0.199 standard deviations to the left of the mean? (Enter an exact number as an integer, fraction, or decimal.) z = Suppose X ~ N(11, 1). What value of x has a z-score of −4.25? (Enter an exact number as an integer, fraction, or decimal.) x = Suppose X ~ N(6, 5). What value of x is three standard deviations to the right of the mean? (Enter an exact...

Let A = {x|x ∈ N∧x < 15}, B = {x|x ∈ Z∧x < 20∧x >...

Let A = {x|x ∈ N∧x < 15}, B = {x|x ∈ Z∧x < 20∧x > −4∧x/2 ∈ Z}, C = {x|x ∈ N∧x2 ∈ A}. Calculate the following expressions using the counting tools we have learned as appropriate. Show your work. |A ∪ B ∪ C| |A × (B ∪ C)| |A − B| + |C − B| + |B| − |(A ∩ C) − B|

if x is 2/3 of y and y is 3/4 of z, what is the value of z:x

Suppose that X, Y and Z are normally distributed where X ≈ N(100,100), Y ≈ N(400,...

Suppose that X, Y and Z are normally distributed where X ≈ N(100,100), Y ≈ N(400, 400) and Z ≈ N(64,64). Let W = X + Y + Z. a) Describe the distribution of W, give a name and parameters E(W) and Var(W). b) Use Excel or R to generate 200 random values for X, Y and Z. Add these to obtain 200 values for W. Create a histogram for W. In Excel use the NORMINV(rand(),mean, sd) function. c) Estimate...