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