1.

In a study of pain relievers, 50 people were given product A, and all but 16 experienced relief. In the same study, 100 people were given product B, and all but 39 experienced relief. Fill in the blanks below to make the most reasonable statement possible. (Choose one) V performed worse in the study. That is because [1% failed to get relief with this product, X 5) get relief with Product (Choose one) V . A _ In a study of pain relievers, 50 people were given product A, and all but 16 experienced relief. In the same study, 100 people were given product B, and all but 39 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product (Choose one) V performed worse in the study. That is because [1% failed to get relief with this product, X \\(3 whereas only [1% failed to get relief with Productl (Choose one) V I In a study of pain relievers, 50 people were given product A, and all but 16 experienced relief. In the same study, 100 people were given product B, and all but 39 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product (Choose one) V performed worse in the study. That is because I]% failed to get relief with this product, X 3 whereas only [1% failed to get relief with Product (Choose one) V . 158.3 175.5 27,781.65 191.5 190.5 36,480.75 188.2 177.2 33,349.04 183.4 176.7 32,406.78 162.1 172.2 27,913.62 191.0 196.8 37,588.8 185.3 186.7 34,595.51 173.6 177.6 30,831.36 191.9 188.1 36,096.39 160.4 166.8 26,754.72 175.0 173.4 30,345 180.0 187.1 33,678 29,667.66 Send data to calculator V Height of son (in centimeters) Figure 1 190 180 170 160 150 160 170 180 190 Height of father (in centimeters) 200 210 What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.) Sir Francis Galton, in the late 18005, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variabley denoting the height at maturity (in centimeters) of the father's oldest son. The data are given in tabular form and also displayed in the Figure 1 scatter plot. Also given is the product of the father's height and the son's height for each of the fteen pairs. (These products, written in the column labelled "xy", may aid in calculations.) Height of Height of son, father,x y (in (in centimeters) centimeters) 202.9 190.4 38,632.16 y 171.0 179.9 30,762.9 210 158.3 175.5 27,781.65 200 X 191.5 190.5 36,480.75 1:17.? 190 XX X X 188.2 177.2 33,349.04 3 % X \"6 E 180 x)( 183.4 176.7 32,406.78 E: x X x X of, 170 X x 162.1 172.2 27,913.62 E z x 191.0 196.8 37,588.8 5 16 185.3 186.7 34,595.51 15" 1 1 173's 177'6 30'831'36 4 150 160 170 180 190 200 210 191.9 188.1 36,096.39 Height of father 160.4 166.8 26,754.72 (in centimeters) 175.0 173.4 30,345 Figure 1 180.0 187.1 33,678 173.8 170.7 29,667.66 Send data to calculator v Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 11 degrees of freedom. Compute P (t5 - 1.89). Round your answer to at least three decimal places. P(ts1.89)=|] (b) Consider a 1' distribution with 19 degrees of freedom. Find the value of c such that P(-c