3 - The normal distribution

Question 1

What type of data does the normal distribution model?

Answer 1

Continuous

Question 2

How much data lies within one standard deviation of the mean?

Answer 2

68%

Question 3

How much data lies within two standard deviations of the mean?

Answer 3

95%

Question 4

How much data lies within three standard deviations of the mean?

Answer 4

99.7%

Question 5

What is the significance of the normal distribution being symmetrical?

Answer 5

Mode = mean = median
P(X > u) = 0.5

Question 6

What is the mean and standard deviation of the standard normal distribution?

Answer 6

0, 1

Question 7

What is the mean and standard deviation of the standard normal distribution?

Answer 7

0, 1

Question 8

How can X ~ N(u, o^2) be coded to Z ~ N(0, 1)?

Answer 8

Z = (X - u)/o

Question 9

What is continuity correction?

Answer 9

When changing binomial to normal, a probability such as (X <= 70) becomes (Y < 70.5)

Question 10

For random sample, size n, taken from a random variable X ~ N(u, o^2), how is the mean distributed?

Answer 10

X ~ N(u, (o^2)/n)