Why is the distribution of a data set so important
C)
What information does an area under the normal curve give?
B)
Why is the probability of an event so important in the science of statistics?
B)
The probability of an event can mean two things:
1. The proportion of the population described by the event.
2. The chance an individual will be randomly selected.
True
False
False
What are the critical parameters of a normal curve?
D)
Only one critical parameter is needed to calculate probability with a normal curve.
True
False
False
A normal curve can be described with one specific mathematical equation, if the values of the variables are known.
True
False
True
On a real number line, a change in the mean shifts a normal curve horizontally, and a change in the standard deviation shifts the normal curve vertically.
True
False
False
Standard deviation (σ) is another way to give the width of a normal curve.
True
False
True
If the area under a normal curve less than z = -1.75 equals 0.04, what is the area under the curve to the right of z = -1.75?
The area of the tail is given (0.04). To find the area to the right (the body), we need to subtract the given value from 1.
1-0.0401
= 0.9599
If the area under a normal curve less than z = -1.75 equals 0.04, what is the area under the curve greater than z = +1.75?
The area under the tails -1.75 and +1.75 are the same.
z-table shows z(1.75)= 0.0401
If the area under a normal curve less than z = -1.75 equals 0.04, what is the area under the curve between z = -1.75 and z = +1.75?
We know the area under the tails would be the same (0.04). Therefore both tails total area is 0.08.
To find the body we subtract 0.08 from 1.
1 - 0.08 = 0.92
For the Shapiro-Wilk test for normality, a P-value = 0.25 means that the data follow a normal shape.
True
False
True
Which of the following answers is NOT true of a statistical event.
C)
What is the appropriate mathematics to use to find a left tail area?
C)
What is the appropriate mathematics to use to find a two-tail area?
B)
What is the appropriate mathematics to use to find a right-side area?
C)
The areas defined in the Empirical Rule of statistics are valid for all normal curves.
True
False
True
Which of the following answers is NOT true about why the Empirical Rule focuses out to (µ±3σ), but not beyond?
A)
What is the area under a normal curve between the mean (µ), and the third quartile (Ǫ3)?
25
What is the appropriate mathematics to use to find a middle body area?
