Suppose you know that the area to the right of z is 0.24. Answer all of the foll

ID: 3232033 • Letter: S

Question

Suppose you know that the area to the right of z is 0.24. Answer all of the following questions without finding the actual value of z.

Hint: Draw a picture.

1) Is z positive or negative?

2) What is the area to the left of z?

3) What is the area to the left of -z?

4) What is the area between -z and z?

And now, because I know you want to.....

5) What is the value of z to two decimal places?

So I cam up with these answers so far, not sure if they are even correct.

1) positive

2) .5948

3) .4052

For 4 and 5 I am not sure how to even get to these answers.

1) z is Positive

2) Area to the left of z = 1 - 0.24 = 0.76

3) Area to the left of -z = 0.24

4) Area between -z and z = Area to the left of z - Area to the left of -z = 0.76 - 0.24 = 0.52

5) From the standard normal distribution table, the value of z corresponding to area 0.76 to the left is

z = 0.71

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