X Screen Shot 2022-04-06 at 2 43.2... 7. A normal (.242 plot is created for each of ve different datasets. Which detaset is the most likely to be normally distributed? A I .-r .: '1. Z A .14... 4... mm... mm G I7 . U no 'A 44..., .4... m... mm I 54 . ......1 m... 8. Suppose that 70% of Americans favor the death penalty. If a researcher plans to randomly select 1, 230 Americans and obtain the sample propor- tion of those who favor the death penalty, what is the probability that this sample proportion is lower than 71.5%? Choose the closest answer. A. .2642 B. .2358 C. .3749 D. .1251 E. .8749 9. The height of men is normally distributed with mean 11 = 167cm and standard deviation 0' = 3cm. What is the probability that a randomly selected man has height greater than 170cm? A. 10228 B. .1587 C. .3413 D. .4772 E. .6587 10. The height of men is normally distributed with mean u = 167cm and standard deviation :7 = 3cm. In a random sample of four man, what is the probability that their mean height is greater than 170cm? 11. 12. 13. 14. 151 .0228 .1587 .3413 .4772 .6587 H.599\"? To estimate the average number of miles that GW graduate students who live elf-campus commute to campus everyday, the following statistics were given in a survey: n = 50, :7: = 5.21 and a = 2.48. The point estimate of the population mean is A. 1.96 B. 2.48 C. 5.21 D 6.15 E. 50 Let p equal the proportion of Americans who favor the death penalty. If a random sample of 1,230 Americans yielded 861 who favored the death penalty, what is the estimate of p? A. 1230 B. 0 C. .3 D. .7 E. 1 A 95% condence interval estimate for a pop- ulation mean u is (85.58, 96.62). if the con- dence level is changed to 90%, the condence interval for n will be A. wider B. narrower C. the seine D. undecided (not have enough information) E. none of the rest A random sample of size n = 64 from a pop- ulation with a: = 16 yielded :5 = 101 Find an approximate 95% condence interval for the population mean 14. A. (8.71,11.29) B. (902.1038) 0. (8.63,11.37) D. (8.35, 11.65) E. (7.75, 12.24) A random sample of size n = 16 from a normal population yielded i = 10 and s = 5. Find 12:13 Search X Screen Shot 2022-04-06 at 2.43.3... a 95% confidence interval for the population A. any statistic used to estimate a population mean /. parameter. A. (7.34, 12.66) B. any estimator whose standard error is zero. B. (7.55, 12.45) C. a statistic whose value is usually less than C. (8.63, 11.37) the population parameter. D. (8.71, 11.29) D. a statistic of which expected value is equal E. (9.02, 10.98) to the value of the population parameter. E. none of the rest. 16. Let p equal the proportion of Americans who favor the death penalty. If a random sample 19. Which of the following is NOT a part of the of n = 1230 Americans yielded 861 who fa- formula for constructing a confidence interval vored the death penalty, find an approximate for the population mean? 95% confidence interval for p. A. The sample size A. (0.6550, 0.7450) B. The value of the population mean B. (0.6249, 0.7751) C. The point estimate of the population mean C. (0.6744, 0.7256 D. The standard error of the point estimator D. (0.2784, 0.3213) E. The confidence level E. (0.6980, 0.7002) 20. Based on a sample with n = 90, the 95% con- 17. Choose the TRUE statement about sampling fidence interval we constructed for the popula- distributions. tion mean / is (1.3, 2.7). Choose the FALSE understanding of this confidence interval. A. The standard deviation of the sample mean does not depend on the sample size. A. We are 95% confident that the true / falls B. The sample proportion is a biased estimator in (1.3, 2.7). of the population proportion. B. If the confidence level is changed to 99%, C. The sample mean obtained from a normal the confidence interval will become wider. population is always normally distributed. C. The probability that the true / is between D. The Central Limit Theorem establishes that 1.3 and 2.7 is 95%. the sample mean always follows a normal dis- D. If we collect a lot of samples with n = 90 tribution. and construct a 95% confidence interval for each E. None of the rest. sample using the same formula, the true / is ex- pected to be contained in 95% of these intervals. 18. Choose the CORRECT statement about un- E. Based on this confidence interval, the true / biasedness. is unlikely to be 3.5. An unbiased estimator is