Question

USE THE NORMAL CURVE TABLE TO DETERMINE THE PERCENT OF DATA SPECIFIED GREATER THAN z = -1.90 AND TO THE RIGHT OF 1.78

Answer 1

Given:

a) Greater than z = -1.90.

b) To the right of z = 1.78.

To find:

The per cent of the data.

Explanation:

a) The value of z = 1.90 is 0.4713.

The area of the right half part is 0.5.

So, adding these two values we get,

$0.4713+0.5=0.9713$

Converting into the percentages, we get,

$0.9713\times100=97.13\%$

b) The value of z = 1.78 is 0.4625

The area of the right half part is 0.5.

We need to find the area to the right of 1.78.

So, subtracting these two values we get,

$0.5-0.4625=0.0375$

Converting into the percentages, we get,

$0.0375\times100=3.75\%$

Final answer:

a) The per cent of the data is 97.13%.

b) The per cent of the data is 3.75%.