1. The results of a common standardized test used in psychology research is designed so that the population mean is 175 and the standard deviation is 40. A subject earns a score of 263. What is the z-score for this raw score? z-score =_______

2. The widths of platinum samples manufactured at a factory are normally distributed, with a mean of 1.1 cm and a standard deviation of 0.2 cm. Find the z-scores that correspond to each of the following widths. Round your answers to the nearest hundredth, if necessary. (a) 1.6 cm z =________ (b) 0.7 cm z =________

3. The average resting heart rate of a population is 86 beats per minute, with a standard deviation of 11.5 bpm. Find the z-scores that correspond to each of the following heart rates. Round your answers to the nearest hundredth, if necessary. (a) 106 bpm z=________ (b) 67 bpm z =________

4. A doctor measured serum HDL levels in her patients, and found that they were normally distributed with a mean of 62.2 and a standard deviation of 2.8. Find the serum HDL levels that correspond to the following z-scores. Round your answers to the nearest tenth, if necessary.

Use the formula z=x/ where is the mean,is the standard deviation, and x is the HDL level. Round to 4 decimal places. a. z = -2.1956 x =________ b. z = 2.3167 x = ________

5. If the distribution of weight of newborn babies in Maryland is normally distributed with a mean of 3.15 kilograms and a standard deviation of 0.75 kilograms, find the weights that correspond to the following z-scores. Round your answers to the nearest tenth, if necessary. (a) z = -1.3 __________ kilograms (b) z = 1.04 __________ kilograms