Conditions for Different Distribtions

Question 1

1-propzint (confidence interval for a population proportion) and 1-propztest (significance test for a proportion)

Answer 1

Conditions- the sample is SRS from a Binomal population, both np and n(1-p) > or equal to 10, and the size of the population is at least 10 times the sample size

Question 2

2-propzint (Confidence interval for the Difference of Two proportions) and 2-propztest (Significance test for the Difference of Two proportions)

Answer 2

Conditions- The two samples are taken randomly and independently from two populations, each population is at least 10 times as large as its sample size and n1p1, n1(1-p1), n2p2, n2(1-p2) > or equal to 5

Question 3

t-interval (confidence interval for a Mean)
and t-test (significance test for a Mean)

Answer 3

Conditions- random sample, reasonable to be from a normal distributions (n>or equal to 30 or roughly symmetrical with not obvious outliers), population is at least 10 times the sample size

Question 4

2-sampTint (Confidence interval for the Difference between two means) and 2-sampTtest( significance test for the difference between two means)

Answer 4

Conditions- Two random and independent samples, two samples are reasonable to be from a normal distribution, each population is at least 10 times the sample size

Question 5

Paired Observation (T-int, confidence interval for the mean difference from paired observations) and Paired Observation (T-test, significance test of the mean difference based on paired observations)

Answer 5

Conditions- Random sample (where the units are paired), differences are reasonable to be from a normal distribution, population size is at least 10 times the sample size

Question 6

x^2 GOF Test-

Answer 6

Conditions- Each outcome falls into one category, you have a model, random sample, and expected frequency> or equal to 5

Question 7

X^2 Test (Test of Homogeneity)

Answer 7

Conditions- Independent random samples from two or more populations, each outcome falls into one category, expected frequency is >or equal to 5

Question 8

X^2 Test of Independence

Answer 8

Conditions- Independent random samples from one large population, each outcome falls into one category, expected frequency is >or equal to 5