Which of the following statements are correct? 1. There are several different types of Normal distributions, each of which is absolutely defined (or identified) by two numbers: the mean u and standard deviation o. 2. A standard Normal distribution is a special type of Normal distribution with u = 0 and o = 1. 3. Standardizing a Normal variable X generates a new random variable, denoted by z, that has the standard Normal distribution. (That is, if X is Normally distributed, we can use the formula z = (x-µ)/o to convert an observation x to a z-value, and z is Normally distributed with u = 0 and o = = 1.) 4. The z-scores (or z-values) of the standard Normal distribution range from positive infinity to negative infinity. 5. A researcher should not presume that the data obtained are automatically Normally distributed- the researcher should first plot the data to see whether the histogram, stemplot or dotplot is roughly bell-shaped before calculating probabilities using the Normal distribution.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Which of the following statements are correct?
1. There are several different types of Normal
distributions, each of which is absolutely
defined (or identified) by two numbers: the
mean p and standard deviation o.
2. A standard Normal distribution is a special type
of Normal distribution with u = 0 and o = 1.
3. Standardizing a Normal variable X generates a
%3D
new random variable, denoted by z, that has
the standard Normal distribution. (That is, if X is
Normally distributed, we can use the formula z
= (x-u)/o to convert an observation x to a
z-value, and z is Normally distributed with u =
O and o = 1.)
4. The z-scores (or z-values) of the standard
Normal distribution range from positive infinity
to negative infinity.
5. A researcher should not presume that the data
obtained are automatically Normally
distributed- the researcher should first plot the
data to see whether the histogram, stemplot or
dotplot is roughly bell-shaped before calculating
probabilities using the Normal distribution.
Transcribed Image Text:Which of the following statements are correct? 1. There are several different types of Normal distributions, each of which is absolutely defined (or identified) by two numbers: the mean p and standard deviation o. 2. A standard Normal distribution is a special type of Normal distribution with u = 0 and o = 1. 3. Standardizing a Normal variable X generates a %3D new random variable, denoted by z, that has the standard Normal distribution. (That is, if X is Normally distributed, we can use the formula z = (x-u)/o to convert an observation x to a z-value, and z is Normally distributed with u = O and o = 1.) 4. The z-scores (or z-values) of the standard Normal distribution range from positive infinity to negative infinity. 5. A researcher should not presume that the data obtained are automatically Normally distributed- the researcher should first plot the data to see whether the histogram, stemplot or dotplot is roughly bell-shaped before calculating probabilities using the Normal distribution.
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