i. The mean of a normal distribution is represented by $\sigma$. ii. Some normal probability distributions have equal arithmetic means, but their standard deviations may be different.
A) (i) and (ii), are correct statements.
B) (i) is a correct statement but not (ii).
C) (ii) is a correct statement but not (i).
D) (i) and (ii) are both false statements.

Question

i. The mean of a normal distribution is represented by  $\sigma$. ii. Some normal probability distributions have equal arithmetic means, but their standard deviations may be different.
A) (i) and (ii), are correct statements.
B) (i) is a correct statement but not (ii).
C) (ii) is a correct statement but not (i).
D) (i) and (ii) are both false statements.

Quizplus · Accepted Answer

The mean of a normal distribution is typically represented by the Greek letter mu (μ), not the symbols provided in statement (i), making it incorrect. Statement (ii) is correct because normal distributions can indeed have the same mean but different standard deviations, which affects the spread of the distribution.

I the Mean of a Normal Distribution Is Represented By \sigma