1. To the nearest 0.01, what is the sample variance 5' of this data set? {3. -7, 4} A) 37.00 B) 5.75 C) 44.69 D) 33.18 2. If the price of a randomly selected stock can be modeled as a normal random variable with u = $32.00 and o = $8.50, about what percent of stocks cost more than $40.50? A) 68% B) 32% c) 2.5% D) 16% 3. (bonus) The Sign Test at a = 0.05 is used in a product comparison of brands A and B. The researchers have a hunch that consumers find Brand A more appealing. The hypotheses tested are: Ho: Brand Ais not preferred. Hg: Brand Ais preferred. A sample of consumers yielded 30 who preferred brand A, 18 who preferred brand B and 3 who had no preference. Which is the best conclusion? A) More customers preferred product A, so there is a clear brand preference. B) The pvalue of the test is about 0.01, evidence of a statistically significant preference. C) The pvalue of the test is about 0.06, so the observed preference is not significant at the set value of 0:. D) The high p-Value of 0.94 indicates a very significant preference for Brand A. 4. The coefficient of correlation is computed for a set of data points (2900 and r = -.29. Select the best interpretation. A) There is a strong tendency for y to increase as x increases. B) There is a weak tendency for y to decrease as x decreases. C) There is a weak tendency for y to decrease as x increases. D) There is a strong tendency for y to decrease as x increases