Question

1.
the area under the normal distribution curve that lies within one
standard deviation of the mean is approxiamtely ____%.

2. for a normal distribution curve with a mean of 10 and a
standard deviation of 5, what is the range of the variable thay
defines the area under the curve correaponding to a probability of
approximately 68%?

true or false:

3. a probability can be greater than one, but not equal to
zero.

4. quartiles are used in box and whisker plot diagrams.

5. to find standard deviation, you must first find
variance.

Answer #1

1. the area under the normal distribution curve that lies within one standard deviation of the mean is approximately 68 %.

2. for a normal distribution curve with a mean of 10 and a standard deviation of 5, what is the range of the variable that defines the area under the curve corresponding to a probability of approximately 68%?

68 % of the data = [ Mean - 1 *S.D , Mean + 1* S.D ]

= [ 10 - 1 *5 , 10 + 1*5]

= [ 5 , 15]

true or false:

3. a probability can be greater than one, but not equal to zero.

False

4. quartiles are used in box and whisker plot diagrams.

True

absolutely true quartiles are used in box and whisker plot diagrams

5. to find the standard deviation, you must first find the variance.

True

standard deviation is in fact the square root of variance.

please like

Consider a normal distribution curve where the middle 35 % of
the area under the curve lies above the interval ( 3 , 11 ). Use
this information to find the mean, μ and the standard deviation, σ
of the distribution.

Find the area under the standard normal curve that lies between
the following two z values. Round your answers to at least four
decimal places.
(a)Find the area under the standard normal curve that lies
between = z − 1.28 and = z 1.36 .
(b)Find the area under the standard normal curve that lies
between = z − 2.17 and = z − 1.92 .
(c)Find the area under the standard normal curve that lies
between = z 1.36...

a)
determine the area under the standard normal curve that lies to the
right of -1.07
b) determine the area under the standard normal curve that
lies to the right of 0.60
c) determine the area under tbe standard notmal curve that
lies to the left of -0.56
d) determine the area u fet the standard normal curve that
lies between -2.50 and 1.00

(a)Find the area under the standard normal curve that lies
outside the interval between =z−1.73 and =z1.99.
(b)Find the area under the standard normal curve that lies
outside the interval between =z−1.75 and =z0.99.
(c)Find the area under the standard normal curve that lies
outside the interval between =z0.89 and =z1.41.
(d)Find the area under the standard normal curve that lies
outside the interval between =z−1.80 and =z−1.33.

1. About ____ % of the area under the curve of the standard
normal distribution is between z = − 1.863 z = - 1.863 and z =
1.863 z = 1.863 (or within 1.863 standard deviations of the
mean).
2. About ____ % of the area under the curve of the standard
normal distribution is outside the interval
z=[−2.24,2.24]z=[-2.24,2.24] (or beyond 2.24 standard deviations of
the mean).
3. About ____ % of the area under the curve of the...

(A) Find the area under the standard normal curve between -0.34
and 1.59:
(B) Find the area under the standard normal curve between -1.5
and 1
(C) Find the area under the standard normal curve that lies to
the left of 2.24
(d) Find the area under the standard normal curve that lies to
the left of -0.42
(e) Find the area under the standard normal curve that lies to
the right of -2.3
(f) Find the area under the...

1. The area under the standard normal that lies to the left of
2.24
2. The area under the standard normal that lies to the left of
-1.56
3. The area under the standard normal that lies to the right of
4.2
4. The area under the standard normal that lies to the right of
-1.07
5. The area under the standard normal that lies between 1.48 and
2.72

1. Find the total area under the standard normal curve to the
left of z1 and to the right of z2.
z1 = -1.75, z2 = 1.89
a) 1.0224 b) 0.3231 c) 0.6769 d) 0.0695 e) 0.9305
2.Which of the following statements is false?
a) Normal distributions are symmetric, but they do not have to
be bell-shaped.
b) The standard normal distribution is completely defined by its
mean and standard deviation.
c) For any normal distribution, the mean, median, and...

According to the empirical rule, approximately what percentage
of the area under a normal distribution lies within 1 standard
deviation? % Within 2 standard deviations? % Within 3 standard
deviations? %

Determine the area under the standard normal curve that lies to
the left of (a) Z= 1.56 (b) Z= 1.05 (c) Z= 1.28 and (d) Z=
-1.34.
(a) The area to the left of Z= 1.56 is ___.

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