which interval

Question 1

population normal and sigma known

Answer 1

x_n±z_(α/2) σ/√n

Question 2

Population normal sigma unknown

Answer 2

x_n±t_(n-1,α/2) S_n/√n

Question 3

Population non-normal n greater than 30 sigma known

Answer 3

x_n±z_(α/2) σ/√n

Question 4

Population non normal n greater than 30 sigma unknown

Answer 4

x_n±z_(α/2) S_n/√n

Question 5

Population non normal n less than 30

Answer 5

bootstrapping

Question 6

Type 1 error

Answer 6

Reject H0 when H0 is true
probability less than or equal to significance level alpha
this is a conditional probability

Question 7

Type 2 error

Answer 7

Fail to reject H0 when H0 is false
probability beta
this is a conditional probability

Question 8

When to use the Wald interval

Answer 8

When np and n(1-p) are both greater than or equal to 15

Question 9

When to use Agresti-Coull interval

Answer 9

When np and n(1-p) are both greater than or equal to 5

Question 10

when to reject H0

Answer 10

When the test statistic is different than Z_alpha (or alpha/2) enough in the direction of H1
OR
P LO HO GO

Question 11

How to find quantiles

Answer 11

Qtheta = Xn + Sn*Qztheta
Qztheta is from the probability that you are given (ex. 93.27 quantile)