This quiz works best with JavaScript enabled. Home > Ugc Net > Paper 1 > Research > Sampling Distribution – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Sampling Distribution Quiz 3 (30 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A 90% confidence interval for a population mean is determined to be 800 to 900. If the confidence is increased to 95% confidence while the sample statistics and sample size remain the same, the confidence interval A) Becomes wider. B) Becomes narrower. C) Does not change. D) None of above. Show Answer Correct Answer: A) Becomes wider. 2. The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting one data value less than 190? A) 58%. B) 69%. C) 42%. D) 31%. Show Answer Correct Answer: D) 31%. 3. What is the standard error of the sampling distribution?Given:Population size is 5Sample size is 3Without replacementPopulation variance is 20.5209 A) 1.70. B) 1.07. C) 1.85. D) 3.42. Show Answer Correct Answer: C) 1.85. 4. Which of the following is the best example of statistic? A) Mean. B) Population variance. C) Sample Standard Deviation. D) Variace. Show Answer Correct Answer: C) Sample Standard Deviation. 5. A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the sample mean of this study? A) 12. B) 24. C) 33. D) None of these. Show Answer Correct Answer: C) 33. 6. In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowel, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let p-hat be the proportion of vowels in her sample. Is the 10% condition met in this case? A) Yes. B) No. C) Not enough info to determine. D) None of above. Show Answer Correct Answer: A) Yes. 7. A sample is taken of 200 people. The number of people who own a dog was 80.What is the sample proportion? A) 80. B) 0.4. C) 35%. D) 0.8. Show Answer Correct Answer: B) 0.4. 8. Review:{33, 25, 42, 25, 31, 37, 46, 29, 38}What is the interquartile range of the data in the set above? A) 9. B) 8. C) 13. D) 21. Show Answer Correct Answer: C) 13. 9. A classroom has 30 students. The mean height of students in this classroom is 63 in. with a standard deviation of 4.6 in. Assume these heights approximate a normal distribution.If ten students are selected at random from this classroom, what is the probability that the mean height of the selected students will be less than 62 in.? A) 0.2451. B) 0.2420. C) 0.2033. D) 0.1170. Show Answer Correct Answer: C) 0.2033. 10. For which scenario is it not permissible to use the normal distribution to approximate the sampling distribution? A) "x" is Normal, n=20. B) "x" is Normal, n=50. C) "x" is Poisson, n=50. D) "x" is Poisson, n =20. Show Answer Correct Answer: D) "x" is Poisson, n =20. 11. Another name for the standard deviation of a sampling distribution is the ..... A) Standard error. B) Variance. C) Sum of squares. D) Expected value. Show Answer Correct Answer: A) Standard error. 12. Of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What does 50 represent? A) N. B) P. C) Phat. D) Standard deviation. Show Answer Correct Answer: A) N. 13. Taxi fares in New York City are normally distributed with a mean fare of $ 22.50 and a standard deviation of $ 2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.Recently a sample of 25 tourists reported an average taxi fare of $ 23.20. What is the probability that a sample of 25 would have an average taxi fare greater than $ 23.20? A) .6248. B) .9441. C) .3752. D) .0559. Show Answer Correct Answer: D) .0559. 14. According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated.Find the z-score associated with a sample of 180 children in which 162 have been vaccinated. A) 1.34. B) -1.34. C) .0901. D) .9099. Show Answer Correct Answer: B) -1.34. 15. A statistic is an unbiased estimator of a parameter when A) The statistic is calculated from a random sample. B) In many samples, the values of the statistic are very close to the value of the parameter. C) In a single sample, the value of the statistic is equal to the value of the parameter. D) In many samples, the values of the statistic are centered at the value of the parameter. Show Answer Correct Answer: D) In many samples, the values of the statistic are centered at the value of the parameter. 16. The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. What is N? A) 4. B) 200. C) 25. D) 16. Show Answer Correct Answer: C) 25. 17. A distribution showing the sample means of all sample of size n of a population is called A) Normal Distribution. B) Uniform Distribution. C) Sampling Distribution. D) Binomial Distribution. Show Answer Correct Answer: C) Sampling Distribution. 18. What is the variance of the sampling distribution? Given:Population size of 4Sample size is 2Without replacementPopulation variance of 7.75 A) 1.30. B) 1.29. C) 1.13. D) 1.92. Show Answer Correct Answer: B) 1.29. 19. The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. Calculate the standard deviation of the sampling distribution. (Check to see if the 10% condition is met first) A) 0.0118. B) 0.0117. C) 0.0119. D) 0.0116. Show Answer Correct Answer: D) 0.0116. 20. A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the margin of error of this study? A) 12. B) 24. C) 33. D) None of these. Show Answer Correct Answer: A) 12. 21. The mean and standard deviation of a population are 200 and 20, respectively. If 25 data points are selected from this population at random, what is the probability that they have a sample mean of less than 190? A) 31%. B) 99%. C) 69%. D) 0.6%. Show Answer Correct Answer: D) 0.6%. 22. Which z-value is used for a 95% confidence interval? A) 1.96. B) 1.645. C) 2.575. D) 2.33. Show Answer Correct Answer: A) 1.96. 23. If n=N (a census), then the sampling distribution would have a size of: A) N. B) 1. C) N. D) (n-1). Show Answer Correct Answer: B) 1. 24. How old is my teacher? A) 18. B) 20. C) 30. D) 25. Show Answer Correct Answer: D) 25. 25. The weight distribution of Unicorns is approximately normal with a mean of 1, 000 lbs. and a standard deviation of 25 lbs. In a group of 20 randomly selected unicorns, what is the standard deviation of the sampling distribution ("sigma of x bar" )? A) 25. B) 4. C) 5.59. D) 1.25. Show Answer Correct Answer: C) 5.59. 26. The mean and standard deviation of a (large) population are 200 and 20, respectively. If 100 data points are selected at random from this population, what is the probability that the mean of this sample will be greater than 202? A) 16%. B) 36%. C) 25%. D) 45%. Show Answer Correct Answer: A) 16%. 27. Which of the following does NOT have an affect on the width of a confidence interval? A) Sample mean. B) Z*. C) Sample standard deviation. D) Sample size. Show Answer Correct Answer: A) Sample mean. 28. It is a technique in selecting n elements from a population with size N. Samples are repeatedly drawn from a population. A) Random Variable. B) Random Sampling. C) Sampling Technique. D) Research. Show Answer Correct Answer: B) Random Sampling. 29. The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces? A) P = .0202. B) P = .8531. C) P =-1.05. D) P = .1469. Show Answer Correct Answer: D) P = .1469. 30. The weights of unicorns are known to have a mean of 1000 and a standard deviation of 25. What is the probability that the average weight of 25 randomly selected unicorns is greater than 1010 pounds? A) 65.54%. B) 34.46%. C) 97.72%. D) 2.28%. Show Answer Correct Answer: D) 2.28%. ← PreviousNext →Related QuizzesPaper 1 QuizzesUgc Net QuizzesSampling Distribution Quiz 1Sampling Distribution Quiz 2Sampling Distribution Quiz 4Reporting And Thesis Writing QuizResearch And Scientific Methods QuizResearch Concept QuizResearch Design QuizResearch Ethics Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books