In a normal distribution curve, what percentage of the area
under the curve is contained in...
In a normal distribution curve, what percentage of the area
under the curve is contained in the region, on one side of the
mean, between 1 standard deviation from the mean and 2 standard
deviations from the mean?
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=?2.2 and z=2.2 (or within 2.2 standard deviations of the mean).
About?____% of the area is between z=?2.2 and z=2.2 (or within 2.2 standard deviations of the mean).
(Round to two decimal places as needed.)?
1. What is the area under the curve between 3398.8 and 3981.2
for a normal distribution with mean m=3900 and standard deviation
s=280 ?
2. Find the 12th percentile of the above distribution.
3. What is the probability of obtaining a mean of 275.4 or
greater from a sample of size 4 from a NORMAL population with mean
m=245 and standard deviation s=28 ?
4. What is the area under the standard normal curve below z =
0.20 ?
5....
Find the area under the curve of the normal distribution that is
in the following interval: -2.95 < Z < -2.00 Enter this
answer as a number rounded to four digits after the decimal point.
Do not use words.
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...
Using the standard normal (z) distribution table, what is the area
under the standard normal curve between 1.67 and 2.72?
a. 0.0442
b. 0.9525
c. 0.2563
d. 0.6140
Find the percentage of area under a normal curve between the
mean and the given number of standard deviations from the mean.
This problem can be solved using technology or the table for the
standard normal curve from your text. 0.9 The percentage of area
under the normal curve between the mean and 0.9 standard deviations
from the mean is ...%