Deck 10: Hypothesis Tests Involving Two Population Means or Proportions

Question 1

This chapter focused upon the difference between two sample means uses and independent variable that is a ______ variable and a dependent variable that is a ______ variable

A) continuous; continuous
B) continuous; binary
C) binary; continuous
D) three or more level categorical; continuous

Answer 1

C

Question 2

Which question is this chapter most suited to answer?

A) Is there a difference in the average number of crimes committed between men and women?
B) Is there a difference in the average number of crimes committed between republicans, democrats, and independents?
C) Is there a difference in the average number of crimes committed between White, Black, and Hispanic men?
D) Is there a difference in the average number of crimes committed between White, Black, and Hispanic women?

Answer 2

A

Question 3

The sampling distribution of sample mean differences is the theoretical differences between ______.

A) 10,000 sample means
B) 100,000 sample means
C) only the sample means we collected
D) an infinite number of sample means

Answer 3

D

Question 4

The z-test for two means is appropriate whenever the two population variances ( $\sigma_{1}, \sigma_{2}$ ) are ______.

A) unknown
B) known
C) normally distributed
D) beyond the critical value for statistical significance

Question 5

The t-test for two means is appropriate whenever the two population variances ( $\sigma_{1}, \sigma_{2}$ ) are ______.

A) unknown
B) known
C) normally distributed
D) beyond the critical value for statistical significance

Question 6

Independent random samples are ______.

A) random, with an unknown probability of being selected, and independent of the other sample
B) random, with a known probability of being selected, and independent of the other sample
C) varying depending on the values of the other sample
D) come from the same population distribution as the other sample.

Question 7

If one evaluated the average offending differences between men and women, independent samples would mean ______.

A) the selection of a male into one sample had no effect on the selection of a female to the other
B) the selection of a male into one sample determines the selection of a female to the other
C) the selection of a male into one sample slightly affects the selection of a female to the other
D) the selection of a female into one sample determines the selection of a male to the other

Question 8

If one can assume that two unknown population standard deviations are equal, we estimate the standard error of the difference using ______.

A) separate variance estimator
B) pooled variance estimator
C) equal variance estimator
D) seemingly equal variance estimator

Question 9

If one cannot assume that two unknown population standard deviations are equal, we estimate the standard error of the difference using ______.

A) separate variance estimator
B) pooled variance estimator
C) unequal variance estimator
D) seemingly unequal variance estimator

Question 10

The t-test provides a formal statistical test of the null hypothesis that ______.

A) two categorical variables are independent of one another
B) two means are unequal
C) two means are equal
D) one mean is larger than the other

Question 11

If a researcher is interested in comparing the average number of property crimes committed of those with no high school diploma against those with a high school diploma, which type of statistical analysis should be used?

A) z-test for one mean
B) t-test for independent means
C) t-test for one mean
D) t-test for dependent means

Question 12

If a researcher was comparing number of arrests between male and female sibling pairs, the appropriate statistical test would be ______.

A) independent t-test
B) dependent t-test
C) test of proportions
D) pooled variance estimate

Question 13

In the equations for a t-test in matched or dependent samples, $t_{a k t}=\frac{\bar{X}_{D}}{s_{D} / \sqrt{n}}$ , $\bar{X}_{D}$ is ______.

A) the standard deviation
B) the variance
C) the mean of one group
D) the mean of the difference between each pair of scores in the sample

Question 14

The t-test and z-test of means is appropriate for an independent variable that has two categories and a dependent variable that is continuous.

Question 15

Rarely does one know the population variance.

Question 16

In independent random samples, both samples are randomly selected and independent of one another.

Question 17

For Pooled and Separate variance t-tests, we must assume that the samples were independent of each other.

Question 18

Matched-groups t-test is appropriate when the two samples are not independent of one another.

Question 19

If the F test leads us to reject the null hypothesis we must then conclude that the two population standard deviations are the same.

Question 20

A researcher wishing to compare the values of parents and children collects data from 10 children and their parents. The t-test for dependent means would be the appropriate statistical analysis.

Question 21

A sample of 15 students had data collected on their reading scores before and after a literacy intervention program was implemented. The degrees of freedom for this group would be 13.

Question 22

When testing for a difference between proportions, a researcher would use the z-statistic instead of the t-statistic.

Question 23

In comparing the average number of times one has driven drunk between those in Alcoholics Anonymous compared to seniors in high school, one would rely on a dependent-samples t-test.

Question 24

When is it appropriate to use the t-test for independent-samples, t-test for dependent samples, and the test for differences between two proportions?