The Public Health Service found that for boys age 11 in HANES2, the average heig

Question

The Public Health Service found that for boys age 11 in HANES2, the average height was 146 cm and the SD was 8 cm. Fill in the blanks. (a) One boy was 170 cm tall. He was above average, by SDs. (b) Another boy was 148 cm tall. He was above average, by SDs. (c) A third boy was 1.5 SDs below average height. He was cm tall. (d) If a boy was within 2.25 SDs of average height, the shortest he could have been is cm and the tallest is cm. (a) The Governor of California proposes to give all state employees a flat raise of $250 a month. What would this do to the average monthly salary of state employees? to the SD? (b) What would a 5% increase in the salaries, across the board, do to the average monthly salary? to the SD?

Explanation / Answer

(3)

a) 170 - 146 = 24; 24/8 = 3. He was above average by 3 SDs

b) 148-146 = 2; 2/8 = 0.25. He was above average by 0.25 SDs.

c) 1.5 * 8 = 12; 146 + 12 = 158. He was 158 cms tall

d) 2.25 * 8 = 18; 146 - 18 = 128; 146 + 18 = 164. Shortest 128 cms and tallest 164 cms

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