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Elementary Statistics: Exam 5: Lesson 11

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

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

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Exercise 1

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

  • A. m=m=
  • B. s=s=

Solution

A. 35

B. 8.3666

Exercise 2

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.

Solution

B, C, D, and F

Exercise 3

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:

Solution

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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