# Answer true or false to each statement. a. Two normal distributions that have the same mean are centered at the same place, regardless of the relation

Answer true or false to each statement.
a. Two normal distributions that have the same mean are centered at the same place, regardless of the relationship between their standard deviations.
b. Two normal distributions that have the same standard deviation have the same spread, regardless of the relationship between their means.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

broliY
Step 1
The mean represents the average and it determines the centre of the distribution and the standard deviation represents the spread of the distribution.
Step 2
a)
Here, it is observed that the mean determines the center of the distribution. Thus, it can be concluded that two normal distributions having the same mean are centered at the same place. Thus, the given statement is true.
b)
Here, it is observed that the standard deviation determines the spread of the distribution. Thus, it can be concluded that two normal distributions that have the same standard deviation have the same spread. Thus, the given statement is true.