Two Statistics and Probability Questions: #1 Consider two normal distributions,

Question

Two Statistics and Probability Questions:

#1

Consider two normal distributions, one with mean -5 and standard deviation 8, the other with mean 12 and standard deviation 8. Answer the following statements using true or false.

a) The two distributions have the same shape.

b) The two distributions are centered at the same place.

Explain!

#2

Which of the following normal distributions has the widest spread?
A. A normal distribution with mean 3 and standard deviation 2
B. A normal distribution with mean 2 and standard deviation 1
C. A normal distribution with mean 0 and standard deviation 2
D. A normal distribution with mean 1 and standard deviation 3
E. None of the above

Explanation / Answer

Problem 1 )

a) True , because the normal distribution is bell shape curve

b ) False , because two distribution has different mean

Problem 2 )

D ) because its standard deviation highest.

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