1. A given distribution has a population mean, , of 142 and a population standard deviation, , of 9. What z-score would be associated with the value x = 117?

Round to two decimal places, as needed.

2. A given distribution has a population mean, , of 133 and a population standard deviation, , of 11. What z-score would be associated with the value x = 128?

Round to two decimal places, as needed.

3. A given distribution has a population mean, , of 144 and a population standard deviation, , of 13. Compute the raw, x-value associated with a Z-score of 0.52.

Round to two decimal places, as needed.

4. A given distribution has a population mean, , of 147 and a population standard deviation, , of 8. Compute the raw, x-value associated with a Z-score of -0.46.

Round to two decimal places, as needed.

5. Suppose a population is known to be normally distributed with a mean, , equal to 116 and a standard deviation, , equal to 14. Approximately what percent of the population would be between 88 and 144?

6. Suppose a population is known to be normally distributed with a mean, , equal to 116 and a standard deviation, , equal to 14. Approximately what percent of the population would be between 102 and 130?

7. Suppose a population is known to be normally distributed with a mean, , equal to 116 and a standard deviation, , equal to 14. Approximately what percent of the population would be between 116 and 130?