Conditions

Question 1

Conditions for One sample t test / t confidence interval

Answer 1

Normality: n > 30, or roughly normal distributions, or no outliers in the histogram
Randomization: Has to be randomly allocated (can still be from an oberservational study)

Question 2

Conditions for Two sample t test / t confidence interval

Answer 2

Distribution: Equal SD so SD/sd < 2
Normality: n > 30, or roughly normal distributions, or no outliers in the histogram
Randomization: Has to be randomly allocated (can still be from an observational study)

Question 3

Conditions for One sample z test / z confidence interval

Answer 3

Normality: np > 10 and n(1-p) > 10, or roughly normal distributions, or no outliers in the histogram
Randomization: Has to be randomly allocated (can still be from an observational study)

Question 4

Conditions for Two sample z test / z confidence interval

Answer 4

(Distribution: Equal SD so SD/sd < 2)
(maybe)
Normality: np > 10 and n(1-p) > 10, or roughly normal distributions, or no outliers in the histogram
Randomization: Has to be randomly allocated (can still be from an observational study)

Question 5

Conditions for ANOVA

Answer 5

Distribution: Equal SD so SD/sd < 2
Normality: n > 30, or roughly normal distributions, or no outliers in the histogram
Randomization: Has to be randomly allocated (can still be from an observational study)

Question 6

Conditions for Chi Square

Answer 6

All expected counts exceed 5
Random allocation

Question 7

Conditions for t test for regression line

Answer 7

Linearity: No curve
Independence: Randomization
Normality: No outliers in histogram of residuals
Equal population standard deviation: No megaphone pattern