INFERENCE TESTS

Question 1

What is the formula for a one-sample t-test?

Answer 1

t = (x̄ - μ) / (s / √n)

Question 2

True or False: A one-sample t-test is used to compare the mean of a single sample to a known population mean.

Answer 2

True

Question 3

What are the conditions for a one-sample t-test?

Answer 3

Random sampling, normality of the population or large sample size (n ≥ 30), and independent observations.

Question 4

What is the formula for a two-sample t-test?

Answer 4

t = (x̄1 - x̄2) / √((s1²/n1) + (s2²/n2))

Question 5

Fill in the blank: A two-sample t-test compares the means of two __________.

Answer 5

independent samples

Question 6

What are the conditions for a two-sample t-test?

Answer 6

Random sampling, normality of the populations or large sample sizes, and independent samples.

Question 7

What is the formula for a paired t-test?

Answer 7

t = d̄ / (sd / √n)

Question 8

True or False: A paired t-test is used when the samples are dependent.

Answer 8

True

Question 9

What are the conditions for a paired t-test?

Answer 9

Random sampling, normality of the differences, and dependent samples.

Question 10

What is the formula for a one-proportion z-test?

Answer 10

z = (p̂ - p) / √(p(1-p)/n)

Question 11

Fill in the blank: A one-proportion z-test is used to test hypotheses about a single __________.

Answer 11

proportion

Question 12

What are the conditions for a one-proportion z-test?

Answer 12

Random sampling, np ≥ 10 and n(1-p) ≥ 10.

Question 13

What is the formula for a two-proportion z-test?

Answer 13

z = (p̂1 - p̂2) / √(p̂(1-p̂)(1/n1 + 1/n2))

Question 14

True or False: A two-proportion z-test compares two independent proportions.

Answer 14

True

Question 15

What are the conditions for a two-proportion z-test?

Answer 15

Random sampling, np1 ≥ 10, n(1-p1) ≥ 10, np2 ≥ 10, and n(1-p2) ≥ 10.

Question 16

What is the formula for a chi-squared test for independence?

Answer 16

χ² = Σ((O - E)² / E)

Question 17

Fill in the blank: A chi-squared test for independence is used to determine if there is an association between two __________.

Answer 17

categorical variables

Question 18

What are the conditions for a chi-squared test for independence?

Answer 18

Random sampling, expected frequency of at least 5 in each cell.

Question 19

What is the formula for a chi-squared goodness-of-fit test?

Answer 19

χ² = Σ((O - E)² / E)

Question 20

True or False: A chi-squared goodness-of-fit test assesses how well observed data fit a specified distribution.

Answer 20

True

Question 21

What are the conditions for a chi-squared goodness-of-fit test?

Answer 21

Random sampling, expected frequency of at least 5 for each category.

Question 22

What is the formula for ANOVA (Analysis of Variance)?

Answer 22

F = MSbetween / MSwithin

Question 23

Fill in the blank: ANOVA tests the hypothesis that three or more population means are __________.

Answer 23

equal

Question 24

What are the conditions for ANOVA?

Answer 24

Random sampling, normality of populations, and homogeneity of variances.

Question 25

What type of data is needed for a correlation test?

Answer 25

Quantitative data

Question 26

True or False: The correlation coefficient (r) can range from -1 to 1.

Answer 26

True

Question 27

What are the conditions for a correlation test?

Answer 27

Random sampling, linear relationship, and homoscedasticity.