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StatTutor Lesson - Standard Normal Distribution

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      Question 1

      98

      Question 1.

      What is standardizing?

      A.
      B.
      C.

      Incorrect. Measuring the distance of a value from the mean in standard deviation units is standardizing.
      Correct. Measuring the distance of a value from the mean in standard deviation units is standardizing.
      Incorrect. Try again.
      2

      Questions 2-4

      218

      Question 2.

      What does a z-score tell us?

      A.
      B.
      C.

      Incorrect. A z-score for an x-value tells us how many standard deviations the x-value is from the mean.
      Correct. A z-score for an x-value tells us how many standard deviations the x-value is from the mean.
      Incorrect. Try again.
      2

      Applet

      379

      Questions 5-6

      379

      Question 5.

      Normal Distribution Image

      For the above Normal curve, what is the z-score for the X value of 117? Recall: \(z = \frac{(\chi - \mu)}{\sigma}\)

      A.
      B.
      C.
      D.

      Incorrect. z=(χμ)σ = (117-100)/10 = 1.7
      Correct. z=(χμ)σ = (117-100)/10 = 1.7
      Incorrect. Try again.
      2

      Questions 7-10

      494

      Question 7.

      What is the mean of the Standard Normal distribution?

      A.
      B.
      C.
      D.

      Incorrect. The mean of the Standard Normal distribution is µ = 0.
      Correct. The mean of the Standard Normal distribution is µ = 0.
      Incorrect. Try again.
      2

      Questions 11-12

      521

      Question 11.

      Fill in the blank: The shape of the Standard Normal distribution is ____________ the shape of a Normal distribution with mean, µ = 20 and standard deviation, σ = 8.

      A.
      B.
      C.
      D.

      Incorrect. Since the Standard Normal distribution has standard deviation, σ = 1, and the Normal distribution has σ = 8, the Standard Normal distribution is taller and skinnier, but still bell-shaped.
      Correct. Since the Standard Normal distribution has standard deviation, σ = 1, and the Normal distribution has σ = 8, the Standard Normal distribution is taller and skinnier, but still bell-shaped.
      Incorrect. Try again.
      2