The goal of this lab is to standardize
data, to compute probabilities using the standard normal
distribution, and to find values given probabilities. Use the Lab
Data Set provided to answer all questions. (all of the data is at
the bottom of the post.
1. Use Microsoft Excel to compute the mean and standard
deviation of Net Sales for the Patagonia file.
Mean:
Standard deviation:
2. Sort the list of 100 data values from smallest to largest, using
Microsoft Excel....
for a standardized normal distribution, calculate the
probabilities below. (standard normal disturbution table of the
area need to be used)
a) P(0.00 < z <_ 2.36)
b) P(-1.50 < z <_ 1.50 )
c) P( 1.68 < z < 2.27 )
For the standard normal curve, compute the following
probabilities. Do not use your calculator. Use the standard normal
table in the appendix of your textbook. This will require you to
show work (sometimes trivial) such as subtracting probabilities,
subtracting a probability from 1, etc.
P[ -.39 < Z < 1.69]
P[Z ≥ 1.14]
P[Z < -1.42]
P[1.27 < Z ≤ 1.38]
Given that is a standard normal random variable, compute the
following probabilities. Round your answers to 4 decimal
places.
a.) P(-1.54 ≤ z ≤ 0)
b.) P(z > 0.32)
c.) P(z ≤ -0.63)
For a standard normal distribution, determine the probabilities
in parts a through d below.
a. Find P(z ). ?1.59
P(z ) ?1.59 = (Round to four decimal places as needed.)
b. Find P(z ). ? ?1.21
P(z ) ? ?1.21 = (Round to four decimal places as needed.)
c. Find P( z ). ?0.83? ?1.78
P( z ) ?0.83? ?1.78 = (Round to four decimal places as
needed.)
d. Find P( z ). 0.33? ?2.19
P( z ) 0.33? ?2.19...
Given that z is a standard normal random variable, compute the
following probabilities.
P(z ≤ -0.71)
P(z ≤ 1.82)
P(z ≥ -0.71)
P(z ≥ 1.22)
P( –1.71 ≤ z ≤ 2.88)
P( 0.56 ≤ z ≤ 1.07)
P( –1.65 ≤ z ≤ –1.65)
Given that z is a standard normal random variable, find z, for
each situation.
The area to the left of z is 0.9608
The area to the right of z is .0102
The area between o and...
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)
Find the probabilities associated with the standard normal
distribution (Draw the area being found in each part)
a.
Pz≥.23=
b.
Pz≤-2.36=
c. P-3.25≤z≤1=
Use the standard normal distribution to calculate the following
probabilities:
Cumulative area to the left:
P (z < 1.20) =
P (z < -1.09) =
P (z < 2.34) =
Cumulative area to the right:
P (z > 1.23) =
P (z > -2.05) =
P (z > 3.50) =
Subtracting cumulative areas:
P (-1.23 < z < 1.23) =
P (1.55 < z < 2.25) =
P (-3.50 < z < 2.50) =
For a standard normal distribution, determine the probabilities
in parts a through d below.
Click here to view page 1 of the standard normal probability
table.
LOADING...
Click here to view page 2 of the standard normal probability
table.
LOADING...
a. Find
P(zless than or equals≤1.561.56).
P(zless than or equals≤1.561.56)equals=nothing
(Round to four decimal places as needed.)
b. Find
P(zless than or equals≤negative 1.28−1.28).
P(zless than or equals≤negative 1.28−1.28)equals=nothing
(Round to four decimal places as needed.)
c. Find
P(negative 0.84−0.84less...