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2 3 5 7 10 a b c d e Mean = 56, median = 7 Mean = 56, median = 5 Mean = 54, median = 7 Mean = 54, median = 5 Mean = 48, median = 6
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015 025 045 095 100
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AP Statistics Practice Exam 2 339
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39 A spelling test was given to 1000 elementary students in a large urban school district The graph below is a cumulative frequency graph of the results Which of the following is closest to the five-number summary (minimum, first quartile, median, third quartile, maximum) for the distribution of spelling scores
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Cumulative Frequency 1000 800 600 400 200 10 30 50 70 Test Scores 90
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40 A well-conducted poll showed that 46% of a sample of 1500 potential voters intended to vote for Geoffrey Sleazy for governor The poll had a reported margin of error of 3% Which of the following best describes what is meant by margin of error of 3% a b The probability is 097 that between 43% and 49% will vote for candidate Sleazy Ninety-seven percent of the time, between 43% and 49% would vote for candidate Sleazy Between 43% and 49% of voters will vote for Sleazy Three percent of those interviewed refused to answer the question The proportion of voters who will vote for Sleazy is likely to be between 43% and 49%
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{10, 30, 50, 70, 90} {10, 20, 50, 80, 90} {0, 30, 50, 70, 100} {20, 40, 60, 80, 100} There is not enough information contained in the graph to determine the fivenumber summary
END OF SECTION I
340 U Step 5 Build Your Test-Taking Confidence
AP Statistics Practice Exam 2
SECTION II
Time: 1 hour and 30 minutes Number of problems: 6 Percentage of total grade: 50
General Instructions
There are two parts to this section of the examination Part A consists of five equally weighted problems that represent 75% of the total weight of this section Spend about 65 minutes on this part of the exam Part B consists of one longer problem that represents 25% of the total weight of this section Spend about 25 minutes on this part of the exam You are not necessarily expected to complete all parts of every question Statistical tables and formulas are provided
Be sure to write clearly and legibly If you make an error, you may save time by crossing
it out rather than trying to erase it Erased or crossed-out work will not be graded
Show all your work Indicate clearly the methods you use because you will be graded on
the correctness of your methods as well as the accuracy of your final answers Correct answers without support work may not receive credit
Statistics, Section II, Part A, Questions 1 5
Spend about 65 minutes on this part of the exam; percentage of Section II grade: 75 Directions: Show all your work Indicate clearly the methods you use because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation 1 The following stemplot gives the scores of 20 statistics students on the first quiz of the quarter Stem-and-leaf of Quiz N = 20 Leaf Unit = 10 3 4 5 6 7 8 9 10 0 226 2238 5 4789 135578 0 5|2 means 52
a What is the median score on this quiz for the 20 students b Draw a boxplot of the data c What is the lowest score a student could get on this quiz and still not be an outlier Explain
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AP Statistics Practice Exam 2 341
2 The 1970 draft lottery involved matching birthdates with a number from 1 to 366 The lower the number, the more likely the individual with the matching birthday was to be drafted to fight in Vietnam The average selection numbers by month are given in the following table
MONTH AVERAGE NUMBER
January February March April May June July August September October November December
2012 2030 2258 2037 2080 1957 1815 1735 1573 1825 1487 1215
The following is part of the computer output for the least-squares regression line for predicting draft number from birth month (January = 1, February = 2, etc) Predictor Constant Month Coef 229402 7057 St Dev 9466 1286 t ratio 2423 549 P 000 000
a What is the equation of the least-squares regression line for predicting average draft number from birth month b Interpret the slope of the regression line in the context of the problem c Does the computer analysis indicate that there is a useful (predictive) relationship between birth month and average draft number Explain d Construct a 95% confidence interval for the true slope of the regression line and interpret the interval in the context of the problem 3 A sleep researcher wants to know if people get a better quality sleep on expensive mattresses than on economy mattresses The researcher obtains 125 volunteers for the study Eighty of the volunteers purchased their mattresses at EconoSleep, a heavily advertised store that caters to working families and the other 45 bought their mattresses at Night of Luxury, an upscale sleep store The 125 volunteers were given a questionnaire to determine the quality of sleep on each mattress The responses were then compared and a report was prepared comparing the two type of mattresses a Is this an experiment or an observational study Explain b Explain what is meant by a confounding variable in the context of this study Give an example of a possible confounding variable c Suppose the report concluded that people who bought their mattresses from Night of Luxury slept better than those who bought their mattresses from EconoSleep Could you conclude that the difference was attributable to the quality of the mattresses in the study Explain
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