Final answer:
The value of z that corresponds to 9% of the standard normal curve lies to the right of it is approximately 1.28. To sketch the area described, shade the area to the right of z (1.28) on a standard normal curve.
Step-by-step explanation:
To find z such that 9% of the standard normal curve lies to the right of z, we can use the z-table. The z-table shows that a z-score of approximately 1.28 corresponds to an area under the normal curve to the left of z of approximately 0.9. Therefore, the value of z is approximately 1.28.
To sketch the area described, draw a standard normal curve and shade the area to the right of z (1.28).