Question
In: Statistics and Probability
Determine the following for a standard normal distribution: A. What percent of the area under the...
Determine the following for a standard normal distribution:
A. What percent of the area under the curve is within 1
standard deviation of the mean?
That is, find P(-1 less than or equal to Z less than or equal
to1)
B. What percent of the area are under the curve is within 2
standard deviations of the mean?
That is, find P(-2 less than or equal to Z less than or equal
to 2).
C. What percent of the area under the curve is within 3
standard deviations of the mean?
That is, find P(-3 less than or equal to Z less than or equal
to 3).
D. Explain how the values from (a)-(c) are related to the
Empirical Rule.
Solutions
orchestra answered 1 year agoRelated Solutions
Find the area under the standard normal distribution curve. Answer as a percent with 1 digit...
Find the area under the standard normal distribution curve.
Answer as a percent with 1 digit to the right of the decimal.
Between z = 1.05 and z =1.82
Find the area under the standard normal distribution curve. Answer as a percent with 1 digit...
Find the area under the standard normal distribution curve.
Answer as a percent with 1 digit to the right of the decimal.
Between z = 1.05 and z =1.82
Using the standard normal (z) distribution table, what is the area under the standard normal curve...
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
Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding...
Using the standard Normal distribution tables, what is the area
under the standard Normal curve corresponding to Z <
1.1?
About % of the area under the curve of the standard normal distribution is outside the...
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...
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...
Find the indicated area under the curve of the standard normal distribution; then convert it to...
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...
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.
Find the area of the shaded region under the standard normal distribution to the right of...
Find the area of the shaded region under the standard normal
distribution to the right of the given z-score. Round your answer
to four decimal places.
-4
-3
-2
-1
0
1
2
3
4
z
z = -0.4
P
(
z
>
−
0.4
)
=
P
(
z
>
-
0.4
)
=
Determine the area under the standard normal curve that lies to the left of (a) Upper...
Determine the area under the standard normal curve that lies to
the left of (a) Upper Z equals 0.53 comma (b) Upper Z equals
0.24, (c) Upper Z equals 1.08, and (d) Upper Z equals negative
1.39. (a) The area to the left of Zequals0.53 is
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