i. Two examples of a hypothesis are: 1) mean monthly income from all sources for senior citizens is $841 and
2) twenty percent of juvenile offenders ultimately are caught and sentenced to prison.
ii. Since there is more variability in sample means computed from smaller samples, we have more confidence in the resulting estimates and are less apt to reject null hypothesis.
iii. The test statistic for a problem where the population standard deviation is unknown is the Student's t distribution.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

Explanation:i. The given examples are indeed hypotheses as they propose specific values or proportions that can be tested against observed data.ii. This statement is incorrect because more variability in sample means from smaller samples actually decreases our confidence in the estimates, making us more likely to reject the null hypothesis due to increased uncertainty.iii. The statement is correct. When the population standard deviation is unknown, the appropriate test statistic to use is the Student's t distribution.

I Two Examples of a Hypothesis Are: 1) Mean Monthly