Suppose X is normally distributed with a mean of u = 10 and a variance of ² = 9. Further 50 has been taken from this population. Which of the following statements is/are true about the distribution of the associated sample mean, X? suppose that a random sample of n = Select one or more: O a. The distribution of X will be Normal b. The distribution of X will have a variance of 3 Oc. The distribution of X will have a variance of greater than 9 g' O d. The distribution of X will have a variance of 50 O.e. The distribution of X will be unknown Of. □g. 9 The distribution of X will have a standard deviation of 50 9 The distribution of X will have a standard deviation of 50

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose X is normally distributed with a mean of u 10 and a variance of o² = 9. Further
suppose that a random sample of n = 50 has been taken from this population. Which of the
following statements is/are true about the distribution of the associated sample mean, X?
Select one or more:
U a. The distribution of X will be Normal
b. The distribution of X will have a variance of 3
□ c.
The distribution of X will have a variance of greater than 9
The distribution of X will have a variance of
g
50
O d.
O.e. The distribution of X will be unknown
Of.
Og.
9
The distribution of X will have a standard deviation of
50
9
The distribution of X will have a standard deviation of
√50
Transcribed Image Text:= Suppose X is normally distributed with a mean of u 10 and a variance of o² = 9. Further suppose that a random sample of n = 50 has been taken from this population. Which of the following statements is/are true about the distribution of the associated sample mean, X? Select one or more: U a. The distribution of X will be Normal b. The distribution of X will have a variance of 3 □ c. The distribution of X will have a variance of greater than 9 The distribution of X will have a variance of g 50 O d. O.e. The distribution of X will be unknown Of. Og. 9 The distribution of X will have a standard deviation of 50 9 The distribution of X will have a standard deviation of √50
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