What Is The Answer Above Z = 1.46 ?

What is the answer above z = 1.46 ?

 

Answer:

The area above the z-score 1.46 is 0.0721 or 7.21%.

Further Explanation

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 its 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 curves 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 graphs area is 0.5000).

                             

                                       

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 .

#LearnWithBrainly

To learn other examples about normal distribution, go to brainly.ph/question/1455519

To find the meaning of the standard deviation, access the link brainly.ph/question/532101

To confirm the area of the normal curve, click brainly.ph/question/1440199