Statistics (Applied) Flashcards

1
Q

If y = ax^n , what is log(y) ?

A

Log(a) + nlog(x)

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2
Q

When is a one-tailed test used?

A

When ρ is either greater or less than 0

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3
Q

When is a two-tailed test used?

A

When ρ is not equal to 0

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4
Q

What are the hypotheses for a one-tailed test?

A

H⁰: ρ=0 , H¹: ρ>0/ρ<0

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5
Q

What are the hypotheses for a two-tailed test?

A

H⁰: ρ=0 , H¹: ρ≠0

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6
Q

In Set Notation, how is the event ‘A and B’ written?

A

AnB

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7
Q

If A and B are independent, what is P(AnB)?

A

P(A) x P(B)

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8
Q

If A and B are mutually exclusive, what is P(AnB)

A

0 (it doesn’t exist, as they don’t intersect)

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9
Q

In Set Notation, how is the event ‘A or B’ written?

A

AUB

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10
Q

If A and B are mutually exclusive, what is P(AUB)?

A

P(A) + P(B)

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11
Q

In Set Notation, how is the event ‘Not A’ written?

A

A’

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12
Q

What is the formula for P(A’)?

A

1 - P(A)

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13
Q

In Set Notation, how is the probability that B occurs given that A has already occurred written?

A

P(B/A)

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14
Q

For independent events, what P(A/B) the same as?

A

P(A/B’) = P(A)

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15
Q

What is the formula for P(AUB)?

A

P(A) + P(B) - P(AnB)

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16
Q

What does the Product Moment Correlation Coefficient measure?

A

The linear correlation between two variables

17
Q

What range of values can the product moment correlation coefficient take?

A

-1 to 1

18
Q

What letter denotes the product moment correlation coefficient?

A

r

19
Q

What does a product moment correlation coefficient of 1 mean?

A

There is a perfect positive linear correlation

20
Q

What does a product moment correlation coefficient of -1 mean?

A

There is perfect negative linear correlation

21
Q

What does a product moment correlation coefficient of 0 mean?

A

There is no linear correlation

22
Q

When is PMCC denoted r, and when is it denoted ρ?

A

r - a sample
ρ - whole population

23
Q

How do you determine the critical region for r for your (one-tailed/two-tailed) hypothesis?

A

By using the table of critical values in the formula book

24
Q

In a normal distribution, what is the formula for the mean?

A

μ = np

n = population/trials etc.
p = probability

25
Q

In a normal distribution, what is the formula for variance?

A

σ = npq

n = population/trials etc.
p = probability
q = 1 - p

26
Q

What is the equation for a Z-score?

A

Z = (X - μ)/σ