Answer true or false to each statement. Explain your answers. a. Two normal distributions that have the same mean are centered at the same place, rega

sjeikdom0

sjeikdom0

Answered question

2020-11-01

Answer true or false to each statement. Explain your answers.
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.

Answer & Explanation

SchulzD

SchulzD

Skilled2020-11-02Added 83 answers

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.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?