Standard normal curve

Question 1

If the original distribution approximates a normal curve,

Answer 1

• Then the shift to standard, or z scores will produce a new distribution that approximates the standard normal curve

The standard normal curve will have:
A mean of 0
A standard deviation of 1

Question 2

Converting all original observations into z scores leaves the normal shape

Answer 2

shape intact, but not the units of measurement.

Question 3

Although there is an infinite number of different normal curves, each with its own mean and standard deviation, there is only one standard

Answer 3

normal curve with a mean of 0 and a standard deviation of 1

Question 4

Scores can be used to find an unknown

Answer 4

proportion

Question 5

The total proportion of the area under the normal curve is

Answer 5

1.0000

Question 6

The area is split at the midline

Answer 6

5000 above and .5000 below the midline

Question 7

The area under the normal curve is positive or zero

Answer 7

but never negative

Question 8

The standard normal curve table is used to find the area under the curve using

Answer 8

z-scores

Question 9

How to find the proportion for one score

Answer 9

1. Sketch the normal curve and shade in the target area
   2.Find the value of the target area
   -You do this by using the normal table
   -Decide what the target area is
   3.Convert X to z
   z = X - µ
   ơ
2. Find the target area
   Find the corresponding area with z-score

Question 10

Finding proportions for two scores

Answer 10

1. Sketch a normal curve and shade the target area
2. Plan your solution according to the normal table
3. Convert X to z
4. Find the target area

Question 11

1. Sketch a normal curve and on the correct side of the mean, draw a line representing the target score
2. Plan your solution according to the normal table
3. Find z
   4.Convert z score to the target score

Answer 11

Finding scores

Question 12

X = µ + (z) (ơ)

Answer 12

finding scores