(10 points) Problem #4. Prior to the 1999-2000 season in the National Basketball Association (NBA), the league made several rule changes to increase scoring. The average number of points scored per game in the previous season had been 183.2. Let u denote the mean number of points per game in the 1999-2000 NBA season. The following data are the total number of points scored in 32 randomly selected NBA games played in the 1999-2000 season. 196 198 205 163 184 224 206 190 140 204 200 190 195 180 200 180 198 243 235 200 188 197 191 194 196 212 230 196 204 197 134 181 (a) If the population is not normally distributed, can you still perform a hypothesis test of the population mean? Use clear, complete sentences to state and justify your answer. (b) Is there sufficient evidence to conclude that the rule changes significantly increased the average number of points scored per game? Use a=0.05. Step1: Ho: M = 183.2 steple: Based on this Ha : M 7 183.2 sample we have sufficient Step 2: level of significance evidence to conclude that is a = 0.05 the mean has increased Step 3: [1= 3. 082 50214 from 183.2. Step 4: P- valve = 0.00214 Steps: we will reject Ho. (5 points) Problem #5. Which of the following statements are true for the linear correlation coefficient? Circle ALL that are true. (a) r is always positive if there is a strong linear association between two quantitative variables. or measures the strength of a linear relationship between two qualitative variables. (c) r does not depend on the units of measure for x and y. (d) r depends on which of the two variables is designated as the response variable. r will always have the same sign as the slope of the corresponding regression line. W