Find each of the probabilities where z is a z-score from a
standard normal distribution with
a mean of μ=0 and standard deviation σ=1. Make sure you
draw a picture of each problem. Show all steps
with TI 83
P(z < 2.15)
P(z > 0.71)
P(-1.45 <z < 2.17)
1. For a standard normal distribution, determine the z-score,
z0, such that P(z < z0) = 0.9698.
2. From a normal distribution with μμ = 76 and σσ = 5.9, samples
of size 46 are chosen to create a sampling distribution. In the
sampling distribution determine P(74.399 < ¯xx¯ <
78.079).
3. From a normal distribution with μμ = 81 and σσ = 2.7, samples
of size 48 are chosen to create a sampling distribution. In the
sampling distribution determine...
Calculate the standard score (Z-Score) and indicate where the
Z-Score would be on a Standard Normal Distribution (draw the normal
distribution)
μ = 85 and σ = 15; x = 110
μ = 120 and σ = 12.5; x = 80
μ = 100 and σ = 20; x = 118
What z-score value separates the highest 15% of the scores in a
normal distribution from the lower 85%? (Note: use the closest
value to the top 15% listed in the Un Normal table)
Find the z-score corresponding to the given
area. Remember, z is distributed as the
standard normal distribution with mean of μ = 0 and standard
deviation σ = 1.
(a) The area to the left of
z is 25%.
(b) The area to the right of
z is 65%.
(c) The area to the left of
z is 10%.
(d) The area to the right of
z is 5%.
(e) Find the value for z such that the area
between –z...
Find the indicated z score. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. Click to
view page 1 of the table. LOADING... Click to view page 2 of the
table. LOADING... z0.9812 A graph with a bell-shaped curve, divided
into 2 regions by a line from top to bottom on the right side. The
region left of the line is shaded and is labeled 0.9812. The
indicated z score is ___.
Find the indicated z score. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. Click to
view page 1 of the table. LOADING... Click to view page 2 of the
table. LOADING... z0.9817 A graph with a bell-shaped curve, divided
into 2 regions by a line from top to bottom on the right side. The
region left of the line is shaded and is labeled 0.9817. The
indicated z score is nothing. (Round to two...