Chapter 5

Question 1

Rule of thumb that applies to data sets with frequency distributions (think histograms) that are mound shaped or ________.

Answer 1

Normal. (Bell Curve)

Question 2

What percentage of measurements will fall within 1 standard deviation of the mean?

Answer 2

68%.

Question 3

What percentage of measurements will fall within 2 standard deviation of the mean?

Answer 3

95%.

Question 4

What percentage of measurements will fall within 3 standard deviation of the mean?

Answer 4

99.7%.

Question 5

This is a measure of relative standing of the normal distribution and is the number of standard deviations a given measurement (y or observation) is away from the mean (group).

Answer 5

Z-Score.

Question 6

Name 2 importance of the Normal Distribution.

Answer 6

1. Describes Many Random Processes or Continuous Phenomena. 2. Basis for Classical Statistical Inference.

Question 7

Give 3 characteristics of the Normal Distribution.

Answer 7

1. “Bell-Shaped” & Symmetrical
2. Mean, Median, Mode Are Equal. 3. Random Variable Has Infinite Range.

Question 8

What is the name of the function that will graph the Normal Distribution, given certain variables.

Answer 8

The Probability Density Function.

Question 9

The area under the curve of a Normal Distribution gives us what mathematical information?

Answer 9

Probabilistic potential of the event happening.

Question 10

How does one get from the Normal Distribution (σ, µ, ŷ) to the Standardized Normal Distribution (σ = 1, µ = 0, Z) ?

Answer 10

By Standardizing the Normal Distribution using the Standard Deviation.

Z = (Y - µ) / σ.

P(Y) = P(Z).