Homework SourseStatisticians prefer large samples Describe briefly the effe
Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:
ANSWER 1(INCREASES), 2(DECREASES), OR 3(UNAFFECTED) FOR EACH QUESTION.
The margin of error of a 95% confidence interval.
The P-value of a test, when H0 is false and all facts about the population remain unchanged as n increases.
The power of a fixed level ? test, when ?, the alternative hypothesis, and all facts about the population remain unchanged.
| Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:
ANSWER 1(INCREASES), 2(DECREASES), OR 3(UNAFFECTED) FOR EACH QUESTION. | ||||||||||
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Solution
Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:
1.
Increases
2.
Decreases
3.
Unaffected
ANSWER 1(INCREASES), 2(DECREASES), OR 3(UNAFFECTED) FOR EACH QUESTION.
A. The margin of error of a 95% confidence interval.
Decreases
B. The P-value of a test, when H0 is false and all facts about the population remain unchanged as n increases.
Decreases
C. The power of a fixed level ? test, when ?, the alternative hypothesis, and all facts about the population remain unchanged.
Increases
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