X y Z 52 124 79 69 137 83 For Table 2, determine the confidence intervals of: 1. The mathematical expectation. 2. The variance. 3. The variation of the input quantity. Table values: a = 0.05 T(a/2, v= 1) = 12.7062 T(a/2, v= 2) = 4.3027 T(a/2, v= 3) = 3.1825 T(a/2, v= 4) = 2.7765 T(a/2, v= 8) = 2.3060 F(a/2, 2, 2) = 39.0000 F(a/2, 3, 3) 15.4392 = F(a/2, 4, 4) = 9.6045 | 4236 93 39 134 67 F(a/2, 2, 3) = 16.0441 F(a/2, 6, 2) = 39.3315 F(a/2, 4, 3) = 9.12 G(a, 3, 4) = 0.7574 x12=x2(a2,4)= 0.4844 x22 x 2 (1-a2, 4) = 11.1433 T(a, 5) = 1.92 33 133 95

The distribution of male height (X) in the US is known to be normally distributed with mean of about 70 inches and variance of 25 inches. What is the IQR? (hint: think about what the IQR represents in a boxplot with regard to percentiles). The z tables can be found at the bottom of the written portion of the exam or at the end of Lecture Note 10. a.) 5.0 b.) 9.0 c.) 7.3 d.) 10.0 e.) 6.7

The following sample observations were randomly selected: X Y 5 4 10 7 3 7 4 6 6 5 What is the coefficient of correlation? Select one: a. 0.185 b. 0.001 c. 0.034 d. 0.089

The popularity of computer, video, online, and virtual reality games has raised concerns that they might negatively affect youth. The data in this exercise are based on a recent survey of 14- to 18-year-olds in Connecticut high schools. The table displays the grade distributions of boys who have and have not played video games. Played games Never played games A's and B's: C's: A's and B's D's and F's: 744 210 Grade Average C's 445 140 D's and F's Find the conditional distribution of grades (the response variable) for nonplayers. Give your answers to two decimal places. 197 84 % % %