This quiz works best with JavaScript enabled. Home > Ugc Net > Paper 1 > Research > T Distribution – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books T Distribution Quiz 1 (29 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. When testing with $ \alpha=0.01$ you get $ p=0.12$ . Your decision should be A) Reject $ H_0$, there is NOT a significant difference. B) Reject $ H_0$, there is a significant difference. C) Fail to reject $ H_0$, there is a significant difference. D) Fail to reject $ H_0$, there is NOT a significant difference. Show Answer Correct Answer: D) Fail to reject $ H_0$, there is NOT a significant difference. 2. Given a set of data, which of the following refers to the independent observations? A) Variance. B) Degrees of freedom. C) Standard error. D) Standard deviation. Show Answer Correct Answer: B) Degrees of freedom. 3. Find the critical value (t-score) for a 99% confidence interval with a sample of 23 people. A) 1.714. B) 1.711. C) 2.064. D) None of these. Show Answer Correct Answer: D) None of these. 4. What is the right-tailed area if the confidence interval is 75%? A) 0.10. B) 0.005. C) 0.05. D) 0.25. Show Answer Correct Answer: D) 0.25. 5. This refers to the maximum number of logically independent values which varies in the data sample. A) Degree of freedom. B) Probability. C) Percentiles. D) Level of significance. Show Answer Correct Answer: A) Degree of freedom. 6. A z distribution would be the same as a t distribution with how many degrees of freedom? A) 30. B) Infinite. C) 100. D) 20. Show Answer Correct Answer: B) Infinite. 7. In a New York modeling agency, a researcher wishes to see if the average height of female models is really less than 67 inches, as the chief claims. A random sample of 20 models has an average height of 65.8 inches. The standard deviation of the sample is 1.7 inches. At $ \alpha=0.05$, is the average height of the models really less than 67 inches? List test, p-value, and decision. A) Z-test, $ p=7.98E^{-4}$, Reject $ H_0$. B) Z-test, $ p=0.002$, Accept $ H_0$. C) T-test, $ p=0.005$, Reject $ H_0$. D) T-test, $ p=0.003$, Reject $ H_0$. Show Answer Correct Answer: D) T-test, $ p=0.003$, Reject $ H_0$. 8. What is the other term for t-distribution? A) Student's t-distribution. B) Probability distribution. C) Percentile distribution. D) Z-distribution. Show Answer Correct Answer: A) Student's t-distribution. 9. Find the degree of freedom of n = 28.df =? A) 27. B) 25. C) 28. D) 26. Show Answer Correct Answer: A) 27. 10. Which of the following is the value of t0.05 with a sample size of 10? A) 1.860. B) 1.900. C) 1.812. D) 1.833. Show Answer Correct Answer: D) 1.833. 11. T-distribution is also known as ..... A) Z-distribution. B) Student's t-distribution. C) A. Teacher's Z-distribution. D) Teacher's t-distribution. Show Answer Correct Answer: B) Student's t-distribution. 12. Sam uses a t-distribution to compute a 99% interval. How many trials would need to be in his sample in order to use the critical value of 2.878? A) 2.576. B) 17. C) 18. D) 19. Show Answer Correct Answer: D) 19. 13. 1. Which of the following is the value of t0.01 with 11 degrees of freedom? A) 2.681. B) 2.821. C) 2.718. D) 2.764. Show Answer Correct Answer: C) 2.718. 14. The t-score that would be used to construct a 99% confidence interval for the mean with a sample of size n=17 would be ..... A) 2.583. B) 2.898. C) 2.921. D) 2.567. Show Answer Correct Answer: C) 2.921. 15. These are number of values that are free to vary after a sample statistic has been computed. A) Degrees of freedom. B) Degrees of freedome. C) Degrees of fredome. D) Degrees of feerdom. Show Answer Correct Answer: A) Degrees of freedom. 16. Given df = 30 with 99% confidence find the t-value A) 2.751. B) 2.752. C) 2.750. D) 2.753. Show Answer Correct Answer: C) 2.750. 17. Find the degree of freedom of n = 15. df =? A) 16. B) 14. C) 13. D) 15. Show Answer Correct Answer: B) 14. 18. A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the EBM of this study? A) 12. B) 24. C) 33. D) None of these. Show Answer Correct Answer: A) 12. 19. The 90% interval for a statistics test has a sample mean of 72 and an EBM of 7. What is the lower bound for the interval? A) 79. B) 72. C) 65. D) 7. Show Answer Correct Answer: C) 65. 20. What is the degree of freedom if the sample size is 20? A) 18. B) 20. C) 19. D) 21. Show Answer Correct Answer: C) 19. 21. This refers to the measure of position with data divided into 100 parts. A) Percentiles. B) Quartiles. C) Deciles. D) Median. Show Answer Correct Answer: A) Percentiles. 22. T-distribution is a probability distribution used to estimate parameters EXCEPT when ..... A) The population standard deviation is known. B) The sample size is small. C) The population variance is unknown. D) The sample size is small and population variance is unknown. Show Answer Correct Answer: A) The population standard deviation is known. 23. What is the t-score associated with 90% confidence and a sample size of 15? A) 1.341. B) 1.761. C) 1.345. D) 1.753. Show Answer Correct Answer: B) 1.761. 24. Which of the following is true about the t-distribution? A) Approaches a normal distribution as its degree of freedom increases. B) Assumes the population is normally distributed. C) It is more spread out than the normal standard distribution. D) All of these statements are true. Show Answer Correct Answer: D) All of these statements are true. 25. For a sample of size 20 taken from a normally distributed population with standard deviation equal to 5, a 90% confidence interval for the population mean would require the use of ..... A) $ t=1.729$. B) $ t=1.328$. C) $ t=1.645$. D) $ t=2.12$. Show Answer Correct Answer: A) $ t=1.729$. 26. Given n =14 with 99% confidence find the t-value A) 3.010. B) 3.011. C) 3.012. D) 3.013. Show Answer Correct Answer: C) 3.012. 27. Which is not known in a t-distribution? A) Population mean. B) Population standard deviation. C) Sample mean. D) Sample size. Show Answer Correct Answer: B) Population standard deviation. 28. Why do we use a t-distribution instead of a z-distribution(normal curve) for means? A) Its more accurate for smaller sample sizes. B) Its more accurate for larger sample sizes. C) They are the same. D) None of these. Show Answer Correct Answer: A) Its more accurate for smaller sample sizes. 29. What will be the degree of freedom of the data whose sample size is 18? A) 20. B) 18. C) 17. D) 19. Show Answer Correct Answer: C) 17. 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