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Sample means and the central limit theorem Quiz: printable

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Sample means and the central limit theorem Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/university-statistics/sample-means-and-the-central-limit-theorem/quiz/

  1. 1

    Samples of 36 from mean 50, sd 12: P(sample mean > 53)
    1. A) 1.5
    2. B) 50
    3. C) 0.0668
    4. D) 0.4013
  2. 2

    Samples of 25 from mean 100, sd 15: P(sample mean < 97)

    Answer: ____________________

  3. 3

    Samples of 16 from mean 70, sd 8: P(sample mean > 73)
    1. A) 1.5
    2. B) 0.0668
    3. C) 70
    4. D) 0.352
  4. 4

    Samples of 64 from mean 20, sd 4: P(sample mean < 19.5)

    Answer: ____________________

  5. 5

    Samples of 100 from mean 500, sd 50: P(sample mean > 510)
    1. A) 0.4207
    2. B) 0.0228
    3. C) 2
    4. D) 500
  6. 6

    Samples of 16 from mean 50, sd 12: P(sample mean < 47)

    Answer: ____________________

  7. 7

    Samples of 25 from mean 64, sd 10: P(60 < sample mean < 66)
    1. A) 8.185
    2. B) 0.8185
    3. C) 1
    4. D) 64
  8. 8

    Samples of 40 from mean 50, sd 12: P(sample mean > 53)

    Answer: ____________________

  9. 9

    Samples of 64 from mean 12, sd 2: P(11.6 < sample mean < 12.5)
    1. A) 9.224
    2. B) 0.9224
    3. C) 12
    4. D) 2
  10. 10

    Samples of 9 from mean 60, sd 6: P(sample mean > 64)

    Answer: ____________________

Answer key

  1. C 0.0668
  2. P(x̄ < 97) = 0.1587
  3. B 0.0668
  4. P(x̄ < 19.5) = 0.1587
  5. B 0.0228
  6. P(x̄ < 47) = 0.1587
  7. B 0.8185
  8. 0.0571
  9. B 0.9224
  10. 0.0228

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