Question

1. For a standard normal distribution, given:

P(z < c) = 0.7232

Find c. (WHERE is this on the z score table and can I figure in
excel/sheets?)

2. For a standard normal distribution, find:

P(z > c) = 0.0912

Find c.

3. About___ % of the area under the curve of the standard normal distribution is between z=−2.837z=-2.837 and z=2.837z=2.837 (or within 2.837 standard deviations of the mean). (HOW- preferably through technology/excel/sheets)

4. About___ % of the area under the curve of the standard normal distribution is outside the interval z=[−0.71,0.71]z=[-0.71,0.71] (or beyond 0.71 standard deviations of the mean).

5. Suppose your manager indicates that for a normally
distributed data set you are analyzing, your company wants data
points between z=−1.5z=-1.5 and z=1.5z=1.5standard deviations of
the mean (or within 1.5 standard deviations of the mean). What
percent of the data points will fall in that range?

Answer:___ percent (Enter a number between 0 and 100, not 0 and 1
and round to 2 decimal places)

Thank you for explaining how and using current technology/quickest way (avpid tables and formulas if possibly) Thanks a million!!

Answer #1

Solution :

Using standard normal table,

1)

P(z < c) = 0.7232

To see the probability 0.7232 in the standard normal table the cumulative z value is 0.59 .

P(z < 0.59) = 0.7232

c = 0.59

2)

P(z > c) = 0.0912

1 - P(z < c) = 0.0912

P(z < c) = 1 - 0.0912 = 0.9088

P(z < 1.33) = 0.9088

c = 1.33

3)

P(-2.837 < z < 2.837) = P(z < 2.837 ) - P(z < -2.837) = 0.9977 - 0.0023 = 0.9954

About 99.54% of the area under the curve of the standard normal distribution is between

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...

In Exercises 16 and 17, find the indicated area under the curve
of the standard normal distribution, then convert it to a
percentage and fill in the blank.
16. About _______% of the area is between z = -0.75 and z = 0.75
(or within 0.75 standard deviations of the mean).
17. About _______% of the area is between z = -1.5 and z = 1.5
(or within 1.5 standard deviations of the mean).

2. a) Find the area under the standard normal curve to the right
of z = 1.5.
b) Find the area under the standard normal curve to the left of
z = 1.
c) Find the area under the standard normal curve to the left of
z = -1.25.
d) Find the area under the standard normal curve between z = -1
and z = 2.
e) Find the area under the standard normal curve between z =
-1.5 and...

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
zequals=minus−3.5
and
zequals=3.5
(or within 3.5 standard deviations of the mean).
About
nothing%
of the area is between
zequals=minus−3.5
and
zequals=3.5
(or within 3.5 standard deviations of the mean).

This is a multi-part question.
First, find the following: For a standard normal distribution,
find: P(-1.17 < z < 0.02)+__________
Second, resolve this: Assume that the readings at freezing on a
batch of thermometers are normally distributed with a mean of 0°C
and a standard deviation of 1.00°C. A single thermometer is
randomly selected and tested. Find the probability of obtaining a
reading less than -0.08°C.
P(Z<−0.08)= ____________
Third, resolve this: Assume that the readings at freezing on a
batch...

1. For a standard normal distribution,
find:
P(z > 2.32)
Keep four decimal places.
2. For a standard normal distribution,
find:
P(-0.9 < z < 0.95)
3. For a standard normal distribution,
given:
P(z < c) = 0.7622
Find c.
4. For a standard normal distribution,
find:
P(z > c) = 0.1753
Find c
5. Assume
that the readings at freezing on a batch of thermometers
are normally distributed with a mean of 0°C and a standard
deviation of 1.00°C....

Consider the standard normal curve, where μ=0 and σ=1.
Find the value z so that 90% of the area under the curve is
between −z and z.Give your answer to 4 decimal places.
*preferably with step by step instruction

Given a standardized normal
distribution (with a mean of 0 and a standard deviation of 1) what
is the probability that
Z is between -1.23 and 1.64
Z Is less than -1.27 or greater than 1.74
For normal data with values symmetrically distributed around
the mean find the z values that contain 95% of the data
Find the value of z such that area to the right is 2.5% of the
total area under the normal curve

Table 1: Cumulative distribution function of the standard Normal
distribution
z: 0 1 2 3 Probability to the left of z: .5000 .84134 .97725 .99865
Probability to the right of z: .5000 .15866 .02275 .00135
Probability between z and z: .6827 .9544 .99730
Table 2: Inverse of the cumulative distribution function of the
standard Normal distribution
Probability to the left of z: . 5000 .92 .95 .975 .9990 z: 0.00
1.405 1.645 1.960 3.09
1 Normal Distributions
1. What proportion...

For a standard normal distribution, find the percentage of data
that are: a. within 1 standard deviation of the mean ____________%
b. between - 3 and + 3. ____________% c. between -1 standard
deviation below the mean and 2 standard deviations above the
mean

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