1. A blood pressure test was given to 450 women ages 20 to 36. It showed that their mean systolic blood pressure was 120.0 mm Hg, with a standard deviation of 13.0 mm Hg. (a) Determine the z-score, to the nearest hundredth, for a woman who had a systolic blood pressure reading of 113.5 mm Hg.

(b) The z-score for one woman was 2.16. What was her systolic blood pressure reading? (Round your answer to one decimal place.)

2. A random sample of 50 tires showed that the mean mileage per tire was 41,200 mi, with a standard deviation of 4800 mi.

(a) Determine the z-score, to the nearest hundredth, for a tire that provided 46,700 mi of wear.

(b) The z-score for one tire was −2.52. What mileage did this tire provide? Round your result to the nearest hundred miles.

3. On a reading test, Shaylen's score of 455 was higher than the scores of 4298 of the 7258 students who took the test. Find the percentile, rounded to the nearest percent, for Shaylen'