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Practice final exam for use with Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

Suppose the random variable X follows a chi-square distribution with degrees of freedom equal to 35. Fill in the blanks.

  • A

    m =
  • B

    s =

A. 35

B. 8.3666

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Check all that apply.

  • A

    The chi-square graph always has the same shape.
  • B

    If X follows a chi-square distribution with df = 200, then X approximately follows a normal distribution.
  • C

    The chi-square distribution is skewed to the right if the degrees of freedom are less than 90.
  • D

    The test statistic for the chi-square distribution may be zero.
  • E

    A goodness-of-fit hypothesis test is always right-tailed.
  • F

    A test of independence tests whether two factors are independent or not.

B, C, D, and F

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Write the null and alternate hypotheses for the following:

It is believed that public high school students attend school in equal numbers for each day of the school week. Suppose a sample of the days students were present at school was taken for one particular high school:

  • 1750 students were present on Monday
  • 1800 students were present on Tuesday
  • 1840 students were present on Wednesday
  • 1810 students were present on Thursday
  • 1800 students were present on Friday

Ho:

Ha:

Ho: Public high school students attend school in equal numbers for each day of the school week

Ha: Public high school students DO NOT attend school in equal numbers for each day of the school week

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Source:  OpenStax, Collaborative statistics: supplemental course materials. OpenStax CNX. Oct 01, 2008 Download for free at http://legacy.cnx.org/content/col10586/1.2
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