1. Final Jeopardy $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 LosingConfidenceLosingConfidenceTesting my patience Testing Tell me a tail Tell me a tail SampleThisSampleThisPot-pouriPot-pouri

2. Final Jeopardy 1- 100 For $100… The Answer is… This is half the width of the confidence interval. What is the margin of error?

3. Final Jeopardy 1- 200 For $200… The Answer is… This is the probability that the true mean is captured by the confidence interval. What is the confidence level? :01 :01 :01

4. Final Jeopardy 1- 300 For $300… The Answer is… The margin of error gets smaller as this gets larger. What is the sample size?

5. Final Jeopardy 1- 400 For $400… The Answer is… If the standard deviations are unknown when finding the confidence interval for the difference between two groups, we would use this type of confidence interval. What is a two sample t-interval?

6. Final Jeopardy 1- 500 For $500… The Answer is… This states that if x is from any distribution, the sample mean of x has an approximately normal distribution. What is the Central Limit Theorem?

7. Final Jeopardy 2- 100 For $100… The Answer is… This is a statement of fact, equality, or of the status quo. What is the null hypothesis?

8. Final Jeopardy 2- 200 For $200… The Answer is… This is the probability at which we consider something a rare event. What is the significance level?

9. Final Jeopardy 2- 300 For $300… The Answer is… Reject the null hypothesis in favor of the alternative when this is less than the significance level. What is the p-value?

10. Final Jeopardy 2- 400 For $400… The Answer is… This is the distance and direction, in terms of standard deviations, that a sample mean is from a hypothesized mean. What is the test statistic?

11. Final Jeopardy 2- 500 For $500… The Answer is… This is the probability of a type I error. That is, the probability we reject the null hypothesis when it is in fact true. What is alpha, or the significance level?

12. Final Jeopardy 3- 100 For $100… The Answer is… This is tail of the test that we would use if we believed the true mean would be larger than the hypothesized mean. What is a right tailed test?

13. Final Jeopardy 3- 200 For $200… The Answer is… This is the area in the tail(s) that is beyond the critical values. What is the significance level or alpha?

14. Final Jeopardy 3- 300 For $300… The Answer is… This is the area in the tail(s) beyond the value of the test statistic. What is the p-value?

15. Final Jeopardy 3- 400 For $400… The Answer is… A confidence interval most closely relates to this type of test. What is a two-tailed test?

16. Final Jeopardy 3- 500 For $500… The Answer is… This is the smallest significance level, alpha, at which we can reject the null hypothesis. What is the p-value?

17. Final Jeopardy 4- 100 For $100… The Answer is… This is the standard deviation of the sample mean. What is the standard error or σ/  (n)?

18. Final Jeopardy 4- 200 For $200… The Answer is… This is the distribution we must use if the true standard deviation is unknown. What is the t-distribution?

19. Final Jeopardy 4- 300 For $300… The Answer is… What is the expected value of the sample mean? What is the true mean?

20. Final Jeopardy 4- 400 For $400… The Answer is… This is the error in using a statistic to estimate a parameter. What is sampling error?

21. Final Jeopardy 4- 500 For $500… The Answer is… This parameter completely defines a t-distribution. Equivalently, this is the information we need to find probabilities for a t-distribution. What are degrees of freedom?

22. Final Jeopardy 5- 100 For $100… The Answer is… We would use this type of hypothesis test to test for a difference between two groups with different, unknown standard deviations. What is a non-pooled two sample t-test?

23. Final Jeopardy 5- 200 For $200… The Answer is… We would use this inferential procedure if we wanted a probable range for a value of the true mean. What is a confidence interval?

24. Final Jeopardy 5- 300 For $300… The Answer is… For comparing two populations using a sample of size 50 from the first population and a sample of size 72 from the second, this is the number degrees of freedom that we would use to compare these two populations using the t distribution. What is 49?

25. Final Jeopardy 5- 400 For $400… The Answer is… What is the value at the center of the confidence interval What is the sample mean?

26. Final Jeopardy 5- 500 For $500… The Answer is… This is the pseudonym under which William Gosset published while working for the Guiness Brewery What is Student?

27. Final Jeopardy For $1000 and the game… The Answer is… For two populations we find two separate samples. For sample one, the sample size, mean and variance are 21, 51.48, and 121.22, respectively. For sample two, the sample size, mean and variance are 23, 41.52, and 294.1225, respectively. This is the test statistic and decision for a test that these populations have different means at  =.05. What is t=2.31 and reject the null since critical value is 2.086? FINAL JEOPARDY

28. Final Jeopardy Congratulations CONGRATULATIONS!!!