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STA 293 > Formulas > Flashcards

Formulas Flashcards

1
Q

x-µ

σ

A

formula for z-score

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2
Q

Σx+P(X=x)

A

expected value of a random variable

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3
Q

n!

k!(n-k)!

A

number of ways k successes can occur in n trials

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4
Q

bo+b1x

A

equation of regression line

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5
Q

rsxsy =

A

b1 (slope)

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6
Q

ybar-b1xbar

A

bo(y-intercept)

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7
Q

σ

sqrt of n

A

sample standard deviation

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8
Q

sqrt( pq/n )

A

standard deviation of sampling distribution

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9
Q

68-95-99

A

confidence intervals

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10
Q

phat +/- z*sqrt( phat*qhat/n)

A

confidence interval for a proportion

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11
Q

ybar +/- tn-1 s/sqrt(n)

A

confidence interval for µ

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12
Q

p(1-p)(z2/ME2)

A

sample size calculation

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13
Q

phat-po / sqrt( po(1-po)/n)

A

approximately standard normal

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14
Q

ybar-µo / s/sqrt(n)

A

test statistic for mean

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15
Q

dbar / (std dev/sqrt(n))

A

test statistic for difference of means

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16
Q

(z*s / ME)2

A

sample size calculation

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17
Q

ybar1-ybar2 +/- tdf sqrt( s12/n1 + s22/n2)

A

confidence interval for difference of means

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18
Q

phat1-phat2 +/-

z * sqrt( (phat1*qhat1/n1) + (phat2*qhat2/n2)

A

confidence interval for comparing two proportions

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19
Q

b1 +/- tn-2 * SE(b1)

A

confidence interval for the regression slope

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20
Q

(ybar1-ybar2) / sqrt( s12/n1 + s22/n2)

A

test statistic for difference of two means

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21
Q

phat1-phat2 / sqrt (phat1*qhat1/n1) + (phat2*qhat2/n2)

A

test statistic for comparing two proportions

22
Q

y1+y2 / n1+n2

A

pooled estimate of the proportion

23
Q

b1-ß1 / SE(b1)

A

test statistic for the regression slope

24
Q

Σ (obs-exp)2 / exp

A

test statistic for goodness of fit and homogeneity

25
Q

(#rows-1) * (#columns-1)

A

degrees of freedom for goodness of fit and homogeneity

26
Q

1.645 1.96 2.576

A

z-scores for confidence intervals

27
Q

formula for z-score

A

x-µ

σ

28
Q

expected value of a random variable

A

Σx+P(X=x)

29
Q

number of ways k successes can occur in n trials

A

n!

k!(n-k)!

30
Q

equation of regression line

A

bo+b1x

31
Q

b1 (slope)

A

rsxsy =

32
Q

bo(y-intercept)

A

ybar-b1xbar

33
Q

sample standard deviation

A

σ

sqrt of n

34
Q

standard deviation of sampling distribution

A

sqrt( pq/n )

35
Q

confidence intervals

A

68-95-99

36
Q

confidence interval for a proportion

A

phat +/- z*sqrt( phat*qhat/n)

37
Q

confidence interval for µ

A

ybar +/- tn-1 s/sqrt(n)

38
Q

sample size calculation

A

p(1-p)(z2/ME2)

39
Q

approximately standard normal

A

phat-po / sqrt( po(1-po)/n)

40
Q

test statistic for mean

A

ybar-µo / s/sqrt(n)

41
Q

test statistic for difference of means

A

dbar / (std dev/sqrt(n))

42
Q

sample size calculation

A

(z*s / ME)2

43
Q

confidence interval for difference of means

A

ybar1-ybar2 +/- tdf sqrt( s12/n1 + s22/n2)

44
Q

confidence interval for comparing two proportions

A

phat1-phat2 +/-

z * sqrt( (phat1*qhat1/n1) + (phat2*qhat2/n2)

45
Q

confidence interval for the regression slope

A

b1 +/- tn-2 * SE(b1)

46
Q

test statistic for difference of two means

A

(ybar1-ybar2) / sqrt( s12/n1 + s22/n2)

47
Q

test statistic for comparing two proportions

A

phat1-phat2 / sqrt (phat1*qhat1/n1) + (phat2*qhat2/n2)

48
Q

pooled estimate of the proportion

A

y1+y2 / n1+n2

49
Q

test statistic for the regression slope

A

b1-ß1 / SE(b1)

50
Q

test statistic for goodness of fit and homogeneity

A

Σ (obs-exp)2 / exp

51
Q

degrees of freedom for goodness of fit and homogeneity

A

(#rows-1) * (#columns-1)

52
Q

z-scores for confidence intervals

A

1.645 1.96 2.576

STA 293 (1 decks)

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