Using Normal Distributions to Estimate Populations
Statistics and Probability · Flashcards
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
What does the notation
Φ
(
z
)
\Phi(z)
Φ
(
z
)
represent in normal distribution tables?
QUESTION
What is the mean and standard deviation of the standard normal distribution?
QUESTION
Using the Empirical Rule, estimate
P
(
X
<
μ
−
3
σ
)
P(X<\mu-3\sigma)
P
(
X
<
μ
−
3
σ
)
for normal data.
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ANSWER
About
0.0015
0.0015
0.0015
. 99.7% within
3
σ
3\sigma
3
σ
, so 0.3% in both tails, 0.15% in lower tail.
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