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Helpp guyssshuhuhuhu

Helpp Guyssshuhuhuhu class=

Sagot :

We can solve the area above the z score of

1.46 by using the Z Table or by using a Casio

fx-570es PLUS calculator. You will be shown

two methods in solving the area above the z

score 1.46.

Methods In Solving The Area Under the

Curve 1. Manual process using the Z-Table

2. Using Scientific Calculator (Casio fx-570es PLUS)

The area under the normal curve is. approximately 100% or 1, thus, half of it is 50%

or 0.50. The z score given is a positive value

then it's located in right region of the graph.

Properties of The Normal Curve

1. Its area is 1.

2. It symmetric with respect to the measures

of central tendency (mean, median and

mode)

3. The curve is bell-shaped,

4. The curve's width is determined by the

number of standard deviations of the

distribution.

Manual Process:

Refer to the graph below. The shaded region

Is the desired area that needs to be solved. It is to the right of the z-score 1.46 because the problem is asking above the mentioned z score.

Using the Z-table, on the very first column

look for the z score 1.4 and on the very first

row find the z-score 0.06, the reason why we

choose the z scores 1.4 and 0.06 is when we

add these two values, the result is 1.46 which

is the actual given z-score. The value where

the two z-scores (1.40 and 0.06) intersect is

the area on the graph from z score 0 to 1.46

or the white region from the middle line to

1.46.

To solve for the shaded or desired area,

subtract 0.4279 from 0.5000 (because half of

the graph's area is 0.5000).

0.5000 0.4279-0.07210.5000-0.4279-0.0721

Thus, the area above the z score of 1.46 is

0.0721.

Using Scientific Calculator (Casio fx-570es

PLUS):

1. Press Mode

2. Choose STAT (option 3)

3. Press AC (It should clear the screen.)

4. Press Shift+1

5. Choose Distr (Stands for Distribution)

(Option 5)

6. Choose the command R(

7. Then, plug in the z-score (1.46)

8. Hit Equal

The calculator should show the value

0.072145\approx(0.072130.072145-0.0721.

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