Find the indicated area under the curve of the standard normal
distribution; then convert it to a percentage and fill in the
blank.
About ________% of the area is between z = -3.5 and z = 3.5
(or within 3.5 standard deviations of the mean).
Given a standard normal distribution, find the area under the
curve that lies (a) to the right of z=1.25; (b) to the left of z=
-0.4; (c) to the left of z= 0.8; (d) between z=0.4 and z=1.3; (e)
between z= -0.3 and z= 0.9; and (f) outside z= -1.5 to z= 1.5.
6. Find the area under the standard normal distribution curve.
a. To the right of Z= .42 b. To the left of Z= -.5 c. Between Z=
-.3 and Z= 1.2 8. The average annual salary of all US registered
nurses in 2012 is $65,000. Assume the distribution is normal and
the standard deviation is $4000. Find the probability that a random
selected registered nurse earns.
a. Greater than $75,000
b. Between $50,000 and $70,000.
Find the area under the standard normal distribution curve:
a) Between z = 0 and z = 1.95
b) To the right of z = 1.99
c) To the left of z = -2.09
How would I do this?
Find the area under the standard normal distribution curve:
a) Between z = 0 and z = 1.95
b) To the right of z = 1.99
c) To the left of z = -2.09
How would I do this?
(a) Given a standard normal distribution, find the area under
the curve that lies between
z = −0.48 and z = 1.74.
(b) Find the value of z if the area under a standard normal
curve between 0 and z, with
z > 0, is 0.4838.
(c) Given a normal distribution with μ = 30 and σ = 6, find the
two values of x that
contains the middle 75% of the normal curve area.
Given a standard normal distribution, find the area under the
curve which
lies
(i) to the left of z = 1.43;
(ii) to the right of z = -0.89;
(iii) between z = -2.16 and z = -0.65.
Given a standard normal distribution, find the value of k such
that
(i) P(Z < k) = 0.0427
(ii) P(Z > k) = 0.2946
(iii) P(-0.93 < Z < k) = 0.7235
About % of the area under the curve of the standard normal
distribution is outside the interval z=[−1.42,1.42]z=[-1.42,1.42]
(or beyond 1.42 standard deviations of the mean).
a. About % of the area under the curve of the standard normal
distribution is outside the interval z=[−0.3,0.3]z=[-0.3,0.3] (or
beyond 0.3 standard deviations of the mean).
b. Assume that z-scores are normally distributed with a
mean of 0 and a standard deviation of 1.
If P(−b<z<b)=0.6404P(-b<z<b)=0.6404, find
b.
b=
c. Suppose your manager indicates that for a normally
distributed data set you are analyzing, your company wants data
points between z=−1.6z=-1.6 and z=1.6z=1.6 standard deviations of
the mean (or...