My Lab Chapter 6 The Normal Distribution HW

12 Find the area of the shaded region for each standard normal curve.

a.-1.15. 1.15 z

A normal curve centered at 0 is over a horizontal axis labeled z that goes from approximately negative 4 to 4. Vertical line segments extend from the horizontal axis to the curve at the labeled points negative 1.15 and 1.15. The area under the curve between the vertical line segments is shaded.

b.-1.71 1.71 z

A normal curve centered at 0 is over a horizontal axis labeled z that goes from approximately negative 4 to 4. Vertical line segments extend from the horizontal axis to the curve at the labeled points negative 1.71 and 1.71. The area under the curve between the vertical line segments is shaded.

c.-1.83 1.83 z

A normal curve centered at 0 is over a horizontal axis labeled z that goes from approximately negative 4 to 4. Vertical line segments extend from the horizontal axis to the curve at the labeled points negative 1.83 and 1.83. The areas under the curve that are outside the vertical line segments are shaded.

d.-2.21 2.21 z

A normal curve centered at 0 is over a horizontal axis labeled z that goes from approximately negative 4 to 4. Vertical line segments extend from the horizontal axis to the curve at the labeled points negative 2.21 and 2.21. The areas under the curve that are outside the vertical line segments are shaded.

13 In eachpart, find the area under the standard normal curve that lies between the specifiedz-score, sketch a standard normalcurve, and shade the area of interest.

a. 1 and 1b. 2 and 2c. 3 and 3

a. Find the area under the standard normal curve that lies between 1 and1, sketch a standard normalcurve, and shade the area of interest.

The area under the standard normal curve that lies between 1 and 1 is ( ? ). (Type an integer or decimal rounded to four decimal places asneeded.)

14 Thez-score that has an area of 0.86 under the standard normal curve and to its right is

( ? ) (Round to two decimal places asneeded.)

15 Sketch the graph that shows z0.34 and then determine z0.34.

Now determine z0.34.

z0.34= ( ?)

(Round to two decimal places asneeded.)

Complete the following table.

z0.10 z0.05 z0.025 z0.01 z0.005

1.28 ( ? ) ( ? ) ( ? ) ( ? )

17 A variable is normally distributed with mean 6 and standard deviation 2.

a. Determine the quartiles of the variable.

b. Obtain and interpret the 90th percentile.

c. Find the value that65% of all possible values of the variable exceed.

d.Find the two values that divide the area under the corresponding normal curve into a

middle area of 0.95 and two outside areas of 0.025. Interpret the answer

Q1 = ( ? ) Q2= ( ? ). Q3= ( ? )