Question # l |15 ptsl The following data represent the social ambivalence scores for 15 people as measured by a psychological test. (The higher the score, the stronger the ambivalence.) 9 13 12 14 15 11 10 4 10 8 19 13 11 17 9 a. Find the value of 5 (sample standard deviation) using the range approximation. b. Calculate the sample mean 32 and sample standard deviation 5 for the 15 social ambivalence scores. Compare 5 with the approximate value obtained in part a. c. Find the percentage of scores that fall into the intervals 3? i ks, k = 1,2,3. d. Do the percentages that fall into these intervals agree with Tchebysheff's Theorem? With the Empirical Rule? Why or why not