Brief Solutions to Practice Test 1

Problem 1
(b) Q1 = 51, median = 55, Q3 = 58
(c) fairly symmetric
(d) mean = 57.75, sd = 2.31
(e) 31

Problem 2
(a) z = 3.12, area = 0.0009
(b) 0.0018
(c) z = -2.05, x = 247.3
(d) z = +/- 1.15, between 247.41 and 247.59.

Problem 3
(b) There is a weak association.
(c) mean = 34.58, sd = 12.63
(d) (predicted BAC) = 0.2138 - 0.0002*(age in years)
(e) The predicted value is 0.21. Sixteen years is not too far from the observed data, and the predicted value is a reasonable number.

Problem 4
False, the mean would be smaller.

Problem 5
False, within one standard deviation.

Problem 6
True.

Problem 7
False, data with a high correlation may still have a stronger non-linear relationship.

Problem 8
False, the slope is positive, but may not be one.

Problem 9
False, it indicates a mistaken calculation. -1 <= r <= 1.

Problem 10
True.

Problem 11
False, association is not causation.

Problem 12
False, influential points are usually far away from the mean.