William H. Knapp III

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This homework was due on Wednesday, October 31 at 06:00 a.m. Turkish time. Late submissions receive half credit.

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1. A sampling distribution would show us:
The probability of observing a particular sample.
The probability of observing a particular sample statistic.
The probability of observing a population parameter with a sample.
The probability of estimation.

2. When the population of interest is normally distributed, a sampling distribution of the mean will be normally distributed.:
True
False
It depends

3. When the population of interest is not normally distributed, a sampling distribution of the mean will be normally distributed.:
True
False
It depends

4. If you're sampling from a non-normally distributed population, what is the recommended minimum sample size to ensure that the sampling distribution of the mean is approximately normal.:
2
10
30
50
100

5. The fact that sampling distributions of the mean approach the normal distribution with larger sample sizes is stated formally as what?
Central Limit Theorem
Law of Large Numbers
Normal Associativity Law
Standard Error of the Mean
All of the above

6. The standard error of the mean is what? Choose all that apply.
The standard deviation of the means in the sampling distribution of the means.
The standard deviation of values in the population.
The standard deviation of values in the population divided by the sample size.
The standard deviation of values in the population divided by the square root of the sample size.
The standard deviation of values in the population divided by the variance of values in the population.

7. For the first part of the homework, you'll need to use the IQ data. These IQs were the IQs you all sent me when you participated in the experiment. What is the maximum IQ?';

8. What's the range of IQs?

9. What's the mode of IQs?

10. Assume that the IQs come from a typical population of IQs (i.e. assume a normal distribution, mean=100, and standard deviation=15). What's the standard error of the mean?

11. For a two-tailed test with alpha=.08, what would the upper critical value be to test the sample mean we observed?

12. For a two-tailed test with alpha=.08, what would the lower critical value be to test the sample mean we observed?

13. What was the mean IQ for the sample of my students?

14. What should we do?
Fail to reject
Reject
Not enough information to tell

15. What was the p-value for the mean you observed?

16. What power did you have to detect the mean you did?

17. What is the probability of incorrectly retaining the null you should have used when the true mean is what you observed?

18. What should you have done if you used an alpha of .01?
Fail to reject
Reject
Not enough information to tell

19. What is the probability of rejecting the null if the true mean was what you observed using the alpha you did in the previous test?

20. How many different combinations could you create choosing 9 out of 13 objects?