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Lab 1: Chi-Square Goodness-of-Fit Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study
  1. What data does the student evaluate in this lab?

    • Card draws
    • Grocery receipt totals
    • Dice rolls
    • Coin toss results
    Reveal answer

    Answer: Grocery receipt totals

    Source evidence

    PDF page 669: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open. NOTE You may need to combine two categories so that each cell has an expected value of at least five.

    PDF page 670: Test to see if grocery receipts follow the uniform distribution.

  2. The student evaluates whether data fit which distributions?

    • Normal or binomial
    • Poisson or normal
    • Binomial or geometric
    • Uniform or exponential
    Reveal answer

    Answer: Uniform or exponential

    Source evidence

    PDF page 669: • The student will evaluate data collected to determine if they fit either the uniform or exponential distributions.

  3. How many people should you ask for grocery receipt totals?

    • 50 people
    • 20 people
    • 10 people
    • 30 people
    Reveal answer

    Answer: 30 people

    Source evidence

    PDF page 669: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open. NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  4. As an alternative, how many cashiers can you ask?

    • 2 cashiers
    • 3 cashiers
    • 5 cashiers
    • 10 cashiers
    Reveal answer

    Answer: 3 cashiers

    Source evidence

    PDF page 669: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open. NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  5. When asking cashiers, how many last amounts should you get?

    • Last 30 amounts
    • Last 20 amounts
    • Last 5 amounts
    • Last 10 amounts
    Reveal answer

    Answer: Last 10 amounts

    Source evidence

    PDF page 669: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open. NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  6. According to the note, each cell should have an expected value of at least what?

    • Three
    • Five
    • Ten
    • One
    Reveal answer

    Answer: Five

    Source evidence

    PDF page 669: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open. NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  7. What should you do to satisfy the minimum expected cell value?

    • Add more categories
    • Combine two categories
    • Round values up
    • Discard outliers
    Reveal answer

    Answer: Combine two categories

    Source evidence

    PDF page 669: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open. NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  8. The note says to include which lane if open?

    • Express lane
    • Return lane
    • Self-checkout
    • Deli line
    Reveal answer

    Answer: Express lane

    Source evidence

    PDF page 669: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open. NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  9. For the uniform test, which percentiles are recorded?

    • 25, 50, 75
    • 10, 30, 50, 70
    • 20, 40, 60, 80
    • 33, 66, 99
    Reveal answer

    Answer: 20, 40, 60, 80

    Source evidence

    PDF page 670: b. 20 percentile = _________

    PDF page 670: c. 40 percentile = _________

    PDF page 670: d. 60 percentile = _________

  10. For the exponential test, which parameter is identified?

    • Decay parameter
    • Growth rate
    • Standard deviation
    • Sample size
    Reveal answer

    Answer: Decay parameter

    Source evidence

    PDF page 671: 1 Test to see if grocery receipts follow the exponential distribution with decay parameter . ̄

    PDF page 671: as the decay parameter, X ~ Exp(_________).

  11. What notation describes the exponential model in the lab?

    • X ~ B(n,p)
    • X ~ Exp(_____)
    • X ~ U(a,b)
    • X ~ N(μ,σ)
    Reveal answer

    Answer: X ~ Exp(_____)

    Source evidence

    PDF page 671: as the decay parameter, X ~ Exp(_________).

  12. For the exponential test, which value is collected first?

    • 63 percentile
    • Third quartile
    • Lowest value
    • Median
    Reveal answer

    Answer: Lowest value

    Source evidence

    PDF page 671: a. lowest value = ________

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