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AP Stats Review Test 2 Flashcards
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AP Stats Review Test 2 Flashcards

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Questions and Answers

If the candy company's belief is correct, which of the following intervals of weights will contain the largest proportion of the candies in the distribution of weights?

  • 730 mg to 770 mg
  • 700 mg to 740 mg (correct)
  • 720 mg to 760 mg
  • 690 mg to 710 mg
  • What is the probability that the running time of a randomly selected remote control car is between 75 minutes and 82.5 minutes?

    The probability of running time of a randomly selected car of this type is between 75 minutes and 82.5 minutes.

    What is the best estimate of the z-score of the third quartile for a non-symmetric distribution of test scores?

    The z-score cannot be estimated from the information given.

    Which expression represents the weight at the 75th percentile of the distribution for the weights shipped?

    <p>0.67(4) + 36</p> Signup and view all the answers

    What is the approximate mean sleep time for newborn babies if a sleep time of 15.9 hours is at the 10th percentile?

    <p>16.5</p> Signup and view all the answers

    What score did a student receive on the test if their standardized score is z = -1.2?

    <p>779.42</p> Signup and view all the answers

    Which of the following intervals will contain the greatest proportion of cartons of large eggs?

    <p>24 oz to 28 oz</p> Signup and view all the answers

    Relative to the students in each respective class, in which subject did the student do better?

    <p>The student did equally well in each course.</p> Signup and view all the answers

    What is the closest proportion of orders processed in less than 240 seconds?

    <p>0.17</p> Signup and view all the answers

    What is the closest proportion of field mice with a weight greater than 33 grams?

    <p>0.023</p> Signup and view all the answers

    What is the standard deviation of the number of rushing yards for running backs that season?

    <p>350 yards</p> Signup and view all the answers

    Which statistics remain the same when height measurements are converted from meters to centimeters?

    <p>The z-scores of the height measurements</p> Signup and view all the answers

    What is the correct order from least to greatest for the values of r, s, and t?

    <p>r, t, s</p> Signup and view all the answers

    What percent of participants had finishing times greater than Shalise's for each puzzle?

    <p>16% on the small puzzle and 84% on the large puzzle</p> Signup and view all the answers

    What percent of hours will be the number of purchases at the online store exceed 1400?

    <p>16%</p> Signup and view all the answers

    What is the closest value to the distribution of salmon lengths if 10 percent are longer than 30 inches?

    <p>26 inches</p> Signup and view all the answers

    What is the standardized score for the student after the conversion if it was z = 1.72 before conversion?

    <p>z = 1.72</p> Signup and view all the answers

    What is the closest standard deviation of the times taken by the 100 mice to navigate through the maze?

    <p>10 seconds</p> Signup and view all the answers

    What percent of 8 ounce cans of cola have a caffeine content greater than 35 mg?

    <p>12%</p> Signup and view all the answers

    What is the probability that a student arrives at college later than 9 a.m. if they leave home at 8:25 a.m.?

    <p>0.16</p> Signup and view all the answers

    What is the closest percentage of assembly times between 4 minutes and 5 minutes?

    <p>59%</p> Signup and view all the answers

    At what percentile is Aliyaah's height and how does it compare to Jayne's?

    <p>Aliyaah's height is at the 83rd percentile of the distribution, and she is shorter than Jayne.</p> Signup and view all the answers

    What is the best estimate of the percent of one bedroom apartments in the city with a monthly rent of at most $800?

    <p>1.3%</p> Signup and view all the answers

    What is the closest percent of the runners who weigh between 114 pounds and 138 pounds?

    <p>82%</p> Signup and view all the answers

    What is the closest estimate for the mean of the height distribution for a 3 year old boy if Duncan is at the 32nd percentile and Shane is at the 62nd percentile?

    <p>33.21 inches</p> Signup and view all the answers

    What is Rachael's height if she is at the 99th percentile in height for adult women?

    <p>70</p> Signup and view all the answers

    What would be the weight of a female grizzly bear with the same standardized score as a male grizzly bear weighing 530 pounds?

    <p>324 pounds</p> Signup and view all the answers

    Study Notes

    Weight Distribution of Candies

    • Candies produced by a company are normally distributed with a mean weight of 720 mg.
    • The interval of weights containing the largest proportion is 700 mg to 740 mg.

    Remote Control Car Running Times

    • Running times for a specific remote control car are normally distributed with a mean of 80 minutes and a standard deviation of 2.5 minutes.
    • The probability of running time between 75 minutes and 82.5 minutes is represented by the shaded area in a related figure.

    Test Scores Distribution

    • A non-symmetric distribution of test scores does not provide enough information to estimate the z-score at the third quartile accurately.

    Producer Supplier Box Weights

    • The weight distribution of produce boxes is approximately normal with a mean of 36 pounds and a standard deviation of 4 pounds.
    • The weight at the 75th percentile can be expressed as 0.67(4) + 36.

    Newborn Baby Sleep Times

    • A sleep duration of 15.9 hours per day is at the 10th percentile for newborns.
    • Assuming normal distribution with a 0.5-hour standard deviation, the mean sleep time for newborns is approximately 16.5 hours.

    Standardized Test Scores

    • A student with a standardized z-score of -1.2 on a test corresponds to a score of about 779.42.

    Egg Carton Weights

    • The weight distribution of large egg cartons is approximately normal with a mean of 26 ounces.
    • The interval of weights containing the greatest proportion is between 24 oz to 28 oz.

    Relative Performance in Exams

    • Chemistry final scores normally distributed with mean 75 and standard deviation 12, Calculus scores with mean 80 and standard deviation 8.
    • A student scored 81 in chemistry and 84 in calculus, performing equally well relative to classmates.

    Order Processing Times

    • Cashier processing times at a coffee shop follow a normal distribution with mean 276 seconds and standard deviation 38 seconds.
    • Proportion of orders processed in less than 240 seconds is approximately 17%.

    Mouse Weight Distribution

    • The weight of field mice is normally distributed, mean of 25 grams and standard deviation of 4 grams.
    • The proportion of mice weighing more than 33 grams is approximately 2.3%.

    College Football Rushing Yards

    • The mean rushing yardage recorded is 790 yards.
    • A running back scoring 1,637 yards is 2.42 standard deviations above the mean, indicating a standard deviation of about 350 yards.

    Height Measurement Conversion

    • Height measurements converted from meters to centimeters maintain the same z-scores.

    Order of Z-Scores

    • In a normally distributed dataset:
      • r (z = -1.00), s (first quartile), t (20th percentile).
      • Correct order from least to greatest: r, t, s.

    Jigsaw Puzzle Completion Times

    • Shalise's completion times for puzzles:
      • Small puzzle finished in 75 minutes (16% of participants slower).
      • Large puzzle finished in 140 minutes (84% of participants slower).

    Online Store Purchases

    • The distribution of purchases is normal with a mean of 1200 and standard deviation of 200.
    • The proportion of hours with purchases exceeding 1400 is approximately 16%.

    Salmon Length Distribution

    • Salmon lengths are normally distributed with a standard deviation of 3.5 inches.
    • If 10% of salmon are longer than 30 inches, the mean length is approximately 26 inches.

    Standardized Scores After Conversion

    • Converting time from seconds to minutes does not change the standardized score (z-score).

    Maze Navigation Times

    • The standard deviation of recorded times for mice navigating a maze is close to 10 seconds.

    Caffeine Content of Cola

    • Caffeine content is normally distributed with a mean of 33 mg.
    • Approximately 12% of cans have a caffeine content greater than 35 mg.

    Student Commuting Times

    • Commuting time follows a normal distribution with mean 30 minutes and standard deviation 5 minutes.
    • The probability of arriving later than 9 a.m., if leaving at 8:25 a.m., is about 16%.

    Smartphone Assembly Times

    • Assembly time for smartphones has a mean of 4.6 minutes and a standard deviation of 0.6 minutes.
    • Approximately 59% of assembly times fall between 4 and 5 minutes.

    Heights of Children

    • Heights of 6-year-old girls are normally distributed with a mean of 46 inches, standard deviation 2.7 inches.
    • Aliyaah's height is at the 83rd percentile and is shorter than her friend Jayne at the 93rd percentile.

    Rental Prices of Apartments

    • Monthly rent for one-bedroom apartments is normally distributed, mean $936, standard deviation $61.
    • About 1.3% of apartments have a rent at or below $800.

    Weights of Cross Country Runners

    • The distribution of weights of female college runners has a mean of 122 pounds, standard deviation 8 pounds.
    • Approximately 82% of runners weigh between 114 pounds and 138 pounds.

    Height of Young Boys

    • The height distribution for 3-year-old boys indicates Duncan at the 32nd percentile (32 inches) and Shane at the 62nd percentile (34 inches).
    • The mean height of the distribution is estimated around 33.21 inches.

    Adult Women's Heights

    • Adult women have a normally distributed height with a mean of 65 inches.
    • Rachael, at the 99th percentile, is approximately 70 inches tall.

    Grizzly Bear Weights

    • Male grizzly bears weigh, on average, 500 pounds (standard deviation 50 pounds), while females average 300 pounds (standard deviation 40 pounds).
    • A female bear with the same standardized score as a 530-pound male would weigh approximately 324 pounds.

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