BA215 Final MCQ HOMEWORK FALL 2015
1. Specialists have estimated that 25% of all homeless folks in the U.S. are veterans. The proportion of People normally who're homeless is Zero.11. For random samples of 100 folks, which is extra regular? A) distribution of pattern proportion, when the inhabitants proportion is Zero.11 B) distribution of pattern proportion, when the inhabitants proportion is Zero.25 C) each the identical 2. Many biologists and anthropologists declare that 10 p.c of all kids conceived within the context of a wedding have been fathered by somebody from exterior the couple.On this scenario, the usual deviation for samples of 225 births is Zero.02. If the pattern dimension have been decreased, the usual deviation could be A) smaller B) bigger C) the identical three. The form of the distribution of pattern proportion is roughly regular. If the pattern dimension have been decreased to 22, the form would be A) much less regular B) extra regular C) the identical Four. The chance of start by Caesarean within the U.S. is Zero.30.If the chance of Caesarean start is Zero.30, and 140 in a pattern of 500 births are Caesarean, which of those numbers is X? A) Zero.30 B) 140 C) 500 D) 140 500 5. The chance of being a smoker for a inhabitants of school college students is Zero.20.The usual deviation for samples of 1600 college students is Zero.01. The usual deviation could be smallest for which of those pattern sizes? A) 16 B) 160 C) 16,00Zero 6. The form of the distribution of pattern proportion is roughly regular. The form could be least regular for which of those pattern sizes? A) 16 B) 160 C) 16,00Zero 7. Suppose 300 in a pattern of 1600 college students smoke, whereas the inhabitants proportion smoking is Zero.20. What notation will we use for the quantity 300 1600 A) n B) p C) p? D) X Eight. The usual deviation for samples of 1600 college students is Zero.01. The usual deviation could be smallest for which of those pattern sizes? A) 16 B) 160 C) 16,00Zero 9. This graph reveals the distribution of ACT scores for a inhabitants of scholars.https://content material.grantham.edu/at/BA215/ultimate01.jpg Which of those is your finest guess for the chance of a rating being higher than 30? A) Zero.Zero16 B) Zero.Zero36 C) Zero.16 D) Zero.36 10. Lengths of new child infants (in inches) have a imply of 20 and a regular deviation of two. As soon as z-scores are discovered, this sketch of the tails of the traditional curve can be used to estimate possibilities. https://content material.grantham.edu/at/BA215/ultimate02.jpg A new child with a size of 20 inches is A) under no circumstances uncommon B) considerably uncommon C) extraordinarily uncommon 11. Pre-pregnancy BMI for a inhabitants of ladies is roughly regular with a imply of 24 and a regular deviation of Four. Use the sketch of the tails of the z curve to estimate the chance of a BMI under 17: Use the sketch of the tails of the z curve to estimate the chance of a BMI under 17: https://content material.grantham.edu/at/BA215/ultimate03.jpg between: A) Zero and Zero.Zero05 B) Zero.Zero05 and Zero.01 C) Zero.01 and Zero.Zero25 D) Zero.Zero25 and Zero.05 E) Zero.05 and 1 12. Chances of scores on a 10-point quiz for a bunch of college students are proven under. Rating Four 5 6 7 Eight 9 10 Likelihood Zero.04 Zero.06 Zero.12 Zero.30 Zero.30 Zero.14 Zero.04 Which of those is the median rating? A) 7 B) 7.5 C) Eight 13. Lifespans of male mice have a imply of 860 days and a normal deviation of 40 days. The form of the distribution is reasonably skewed to the left.If we take a pattern of mice from this inhabitants, how will we denote the imply of their lifespans A) s B) ? C) x? D) ? E) p? F) p G) n 14. In 1999, salaries of physician’s assistants within the U.S. had a imply of 68.Zero thousand and a regular deviation of 17.Zero thousand. The form of the distribution might have some skewness.On this downside, the quantity 17 is: A) a parameter denoted s B) a parameter denoted ? C) a statistic denoted s D) a statistic denoted ? 15. Yr-level for a inhabitants of undergraduate introductory statistics college students had chance distribution proven under; the imply stage was 1.Eight and the usual deviation was 1.Zero. Yr 1 2 three Four Likelihood Zero.5 Zero.three Zero.1 Zero.1 The distribution is A) left-skewed B) right-skewed C) symmetric however not regular D) roughly regular 16. The proportion of People over the age of 5 who communicate one other language moreover English at house is Zero.20. Suppose we take a random pattern of 64 People over the age of 5.Which considered one of these will we verify in order to justify our declare for the imply of the distribution of pattern proportion? A) Verify that there is no such thing as a bias within the sampling or research design. B) Verify that the inhabitants is a minimum of 10 instances the pattern dimension. C) Verify that there are needs to be a minimum of 10 out and in of the class of curiosity (talking one other language at house). 17. On-line interviews of 1500 dad and mom with kids below the age of eight discovered the proportion who learn to their kids a minimum of twenty minutes each day to be Zero.78. Suppose a reporter wish to declare that greater than three-fourths (Zero.75) of all dad and mom with kids below eight learn to them at least twenty minutes each day.What notation will we use for the quantity Zero.75? A) p B) p? C) p0 18. Primarily based on the information offered, can the reporter conclude that greater than Zero.75 of all dad and mom with kids below eight learn to them a minimum of twenty minutes each day? A) sure B) no 19. The nationwide charge of binge consuming amongst eighth graders is assumed to be Zero.10. We wish to see if the speed of binge consuming amongst eighth graders in a selected state differs considerably from the nationwide charge. In a survey of 4000 eighth graders from that state, the proportion who reported binge consuming within the earlier month was Zero.07.The scale of the z-statistic is A) excessive B) not excessive C) borderline 20. A Sort I Error is rejecting the null speculation, though it's true; a Sort II Error is failing to reject the null speculation, even although it's false. A) a Sort I Error B) a Sort II Error C) each (a) and (b) D) neither (a) nor (b) 21. Not too long ago a pattern of 250 taxicab drivers in Massachusetts have been noticed; 17 of them have been utilizing seatbelts.How may we receive a narrower interval? A) use a decrease stage of confidence B) use a smaller pattern C) each (a) and (b) D) neither (a) nor (b) 22. Which of the next would invalidate our confidence interval and subsequent conclusions? A) If the 600 sampled youths weren't consultant of all youths by way of their imaginative and prescient. B) If the 600 sampled youths didn't reply precisely to the query about imaginative and prescient impairment. C) Each (a) and (b). D) Neither (a) nor (b). 23. In a 2006 ballot of 1000 People, the proportion who have been happy with the way in which issues have been going within the U.S. was solely Zero.27.Which of these is denoted by X on this scenario? A) Zero.27 B) 270 C) 1000 D) not one of the above 24. Every pupil in a category of 80 rolls Eight cube in an effort to carry out inference concerning the imply of all cube rolls (which occurs to be three.5).Suppose every pupil makes use of his or her pattern to check the true null speculation that the inhabitants imply is three.5 in opposition to the two-sided different. About how many of those 80 assessments ought to reject on the ? = Zero.05 stage? A) Zero B) Four C) Eight D) 28 E) 52 F) 72 G) 76 H) 80 25. Suppose that 6 minutes had been the samplestandard deviation. Use the truth that the t multiplier for 35 levels of freedom and 95% confidence is 2.03 to contemplate a confidence interval for the inhabitants imply REM sleep time. In comparison with the z interval, the t interval could be A) a lot wider B) barely wider C) barely narrower D) a lot narrower 26. For this downside, we'll assume that the null speculation needs to be rejected so long as the P-value is lower than Zero.01. (Notice that the space below the t curve for Eight levels of freedom to the left of -2.896 is Zero.01.) Suppose the imply and normal deviation for variety of credit taken in a semester by a pattern of undergrads are used to check whether or not the imply credit taken by all undergrads is lower than 15. Select the right method below every of the next circumstances. The imply and normal deviation are obtained from a consultant pattern of 9 undergrads; the information set has a standard look. The imply and normal deviation are obtained from a representativesample of 9 undergrads; the information set has a standard look. A) Use a z process: the P-value is small if z < -2.326. B) Use a t process: the P-value is small if t < -2.896. C) Neither z nor t is appropriate in this situation. 27. For this problem, we will assume that the null hypothesis should be rejected as long as the P-value is less than 0.01. Suppose the mean and standard deviation for number of credits taken in a semester by a sample of undergrads are used to test whether the mean credits taken by all undergrads is less than 15. Choose the correct conclusion under each of the following circumstances: [You may refer either to the sketch of the t distribution for 8 degrees of freedom, or to the standard normal (z) curve.] https://content.grantham.edu/at/BA215/final04.jpg A representativesample of 90undergrads produces a standardized sample mean of t = -2.5; there are outliersin the data set. A) We do not have convincing evidence that the population mean is less than 15. B) There is convincing evidence that the population mean is less than 15. C) No conclusions should be drawn because neither z nor t procedures are appropriate in this 28. Based on first and second midterm exam scores for a sample of students, a test is carried out to see if in general students tend to do worse on the second midterm exam. N Mean StDev SE Mean MT1 15 122.13 18.91 4.88 MT2 15 110.20 20.19 5.21 Difference 15 11.93 9.25 2.39 95% lower bound for mean difference: 7.73 T-Test of mean difference = 0 (vs > Zero): T-Worth = 5.00 P-Worth = XXXXX The P-value has been X-ed out. Primarily based on the scale of the t statistic, the P-value is A) small B) not small C) borderline D) not sufficient data 29. For a pattern of 20 college students, a take a look at in contrast their first and second midterm examination scores. N Imply StDev SE Imply MT1 20 114.85 17.67 three.95 MT2 20 111.65 15.15 three.39 Distinction 20 three.20 16.17 three.61 T-Check of imply distinction = Zero (vs not = Zero): T-Worth = XXX P-Worth = Zero.387 If we take a look at to see if the imply of variations for all college students is optimistic, would we reject the null speculation? A) sure B) no C) borderline 30. An experiment in contrast response instances in a driving simulation for a management group (who listened passively to an audio e-book) with a remedy group (who have been obliged to converse utilizing a hands-free mobile phone). Software program produced the next output. N Imply StDev SE Imply Remedy 16 585 90 22.5 Management 16 533 65 16.25 Distinction = mu Remedy - mu Management Estimate for distinction: 52 95% CI for distinction: (–Four.7, 108.7) T-Check of distinction = Zero (vs >): T-Worth = XXXX P-Worth = Zero.04 DF = 30 This was a A) paired research B) two-sample research 31. If we take a look at to see if general response instances have been longer for the mobile phone group, and use = Zero.01 because the cutoff for a small P-value, would we reject the null speculation and conclude the distinction between means is higher than zero? A) sure B) no 32. A survey for enterprise homeowners, carried out on a pattern of Eight nations, regarded on the share of companies in every nation that exported items to China, and the proportion that imported items from China. Output is proven from finishing up a comparability with software program. N Imply StDev SE Imply Exports Eight 25.63 14.40 5.09 Imports Eight 15.75 9.51 three.36 Distinction Eight 9.88 12.91 Four.56 95% CI for imply distinction: (-Zero.93, 20.68) T-Check of imply distinction = Zero (vs not = Zero): T-Worth = 2.16 P-Worth = Zero.067 This was a A) paired research B) two-sample research 33. Percentages of roads categorized as dangerous in 2006 have been in contrast for a pattern of 11 northern cities and a pattern of Four southern cities. Location N Imply StDev SE Imply north 11 62.2 12.1 three.7 south Four 49.Zero 17.Eight Eight.9 Distinction = mu (n) - mu (s) Estimate for distinction: 13.12 95% decrease sure for distinction: –7.33 T-Check of distinction = Zero (vs >): T-Worth = 1.37 P-Worth = Zero.12 DF = Four Contemplating the scale of the P-value for the two-sided different, would a 95% confidence interval for the distinction between inhabitants means include zero? (No calculations essential.) A) Sure, undoubtedly. B) No, not even shut. C) Borderline: both simply barely or not fairly. D) There may be not sufficient data to resolve. 34. A pupil in contrast tuition, in hundreds of , for samples of private and non-private schools/universities within the U.S. N Imply StDev SE Imply Public 5 7.26 1.48 Zero.66 Non-public 6 32.32 three.30 1.three Distinction = mu Public - mu Non-public Estimate for distinction: –25.06 T-Check of distinction = Zero (vs not =): T-Worth = XXXX P-Worth = Zero.00Zero DF = 7 This was a A) paired research B) two-sample research 35. Quick-term parking charges have been in contrast for a pattern of 11 parking tons in a city’s downtown space, in 2007 vs. 2008. N Imply StDev SE Imply 2007 11 7.77 Four.43 1.34 2008 11 -Zero.636 1.Zero02 Zero.302 Distinction 11 -Zero.636 1.Zero02 Zero.302 T-Check of imply distinction = Zero (vs not = Zero): T-Worth = –2.11 P-Worth = Zero.Zero62 The design was A) paired B) two-sample C) a number of pattern 36. A masters thesis by M. Purser on the College of Washington in 1988 checked out soil densities in a conifer forest, earlier than and after clearcut logging within the space. These histograms present 32 pre-logging densities and 38 post-logging densities, recorded in grams per cubic centimeter. Not like most before-and-after designs, this was a two-sample research: the identical pattern of soil couldn't be assessed twice. https://content material.grantham.edu/at/BA215/ultimate05.jpg First evaluate the histograms’ facilities: when have been the densities greater on common? A) earlier than logging B) after logging 37. Is there a distinction in imply resort charges (five-night keep) for all resorts in Jamaica Curacao, and St. Lucia? Evaluation of variance was carried out on samples of resorts a every of the three resorts: https://content material.grantham.edu/at/BA215/ultimate06.jpg Pattern normal deviations are A) comparatively shut B) fairly totally different 38. Is there a distinction in imply hours slept for college students in numerous years (1, 2, three, Four, or different) at school? Evaluation of variance was carried out on survey information from a number of hundred college students at a sure college: https://content material.grantham.edu/at/BA215/ultimate07.jpg So far as the pattern means are involved, which group of college students slept the longest? A) first 12 months B) second 12 months C) third 12 months D) fourth 12 months E) different 39. Costs for samples of 16 new fiction, 16 non-fiction, and 10 recommendation books (all hardcover) have been in comparison with decide if the general imply worth could possibly be the identical for the three sorts of e-book.The imply of any F curve is near 1. What does the scale of your F statistic counsel concerning the dimension of the P-value? A) the P-value is small B) the P-value is just not small 40. Miles pushed (in hundreds) have been regressed on 12 months for a pattern of used Ford Mustangs. The regression equation is Miles = 10453 – 5.20 Yr Predictor Coef SE Coef T P Fixed 10453 1256 Eight.32 Zero.00Zero Yr -5.2007 Zero.6261 -Eight.31 Zero.00Zero S = Eight.629 R-Sq = 64.5% R-Sq(adj) = 63.6% Would a confidence interval for the slope include zero? A) sure B) no 41. Costs of a pattern of generic medicine have been regressed on the costs of the brand-name equivalents. The regression equation is Generic = –Four.Four + Zero.689 Model Predictor Coef SE Coef T P Fixed -Four.37 16.11 -Zero.27 Zero.790 Model Zero.68872 Zero.08865 7.77 Zero.00Zero S = 22.87 R-Sq = 78.Zero% R-Sq(adj) = 76.7% Predicted Values for New Observations New Obs Match SE Match 95.Zero% CI 95.Zero% PI 1 105.14 5.37 (93.82, 116.46) (55.58, 154.70) Values of Predictors for New Observations New Obs Model 1 159 The slope of the regression line for the connection between all model and generic costs is A) Zero.689 B) unknown, however virtually certainly optimistic C) unknown, and it may simply be detrimental 42. Which of those is true concerning the confidence interval (C.I.)? A) It estimates the imply of all responses to a given explanatory worth. B) It estimates a person response to a given explanatory worth. 43. A newspaper surveyed its readers about all of its comics, the place potential responses have been find it irresistible, hate it, or don’t care. The depend of readers who responded “hate it” was regressed on the depend who responded “love it” for a pattern of 6 comics (Foxtrot, Zits, Blondie, Mary Value, The Superb Spider Man, and Household Circus). The regression equation is HateIt = 2346 – Zero.583 LoveIt Predictor Coef SE Coef T P Fixed 2346.Four 235.three 9.97 Zero.Zero01 LoveIt -Zero.58347 Zero.09585 -6.09 Zero.Zero04 S = 254.7 R-Sq = 90.three% R-Sq(adj) = 87.Eight% New Obs Match SE Match 95.Zero% CI 95.Zero% PI 1 479 141 (87, 872) (-329, 1288) Values of Predictors for New Observations New Obs LoveIt 1 3200 Output is proven when interval estimates are requested for the variety of folks hating a comic book, if three,200 folks liked it. Which interval tells us a spread of believable values for quantity hating a selected comedian that was liked by three,200 folks? A) CI B) PI 44. An annual state evaluation take a look at is a requirements based mostly criterion-referenced evaluation used to measure a student’s attainment of the educational requirements whereas additionally figuring out the diploma to which college packages allow college students to achieve proficiency of the requirements. For a pattern of faculties, three relationships are thought of: share passing versus college imply rating, share passing versus share who participated (took the take a look at) in every college, and share passing versus share of deprived college students within the college. On this train, you're to determine which one of many three reported regression outcomes corresponds to every of the three scatterplots. 95% confidence interval for ?1 for regression of % passing on imply(plot on the left) A) (–Zero.78,–Zero.50) B) (Zero.17, Zero.20) C) (Zero.30,+1.61) 45. regression line for regression of % passing on imply(plot on the left) A) ? = -194 + Zero.188x B) ? = -55.Four + Zero.953x C) ? = 77.1 - Zero.639x 46. unfold s concerning the line for regression of % passing on imply(plot on the left) A) 5.6 B) 12.Eight C) 17.1 47. unfold s concerning the line for regression of % passing on participated(plot within the center) A) 5.6 B) 12.Eight C) 17.1 48. t statistic to check if ?1 = Zero for regression of % passing on participated(plot within the center) A) –9.05 B) +2.90 C) +27.90 49. Scientists consider people’s ears get bigger with age. They measured ear size in a pattern of sufferers, aged 30 to 93, and located their ears grew about Zero.01 inches a 12 months.What kind of research was this? A) pattern survey B) experiment C) observational research 50. The explanatory variable is A) quantitative B) categorical