a random veriable representing annual return for Vanguard Balanced Index (60% st

Question

a random veriable representing annual return for Vanguard Balanced Index (60% stock and 40% bond-for the past seveal years, we hav. x: 28 0 23 33 38 19 11 -238 -17 y 12 -10 14 22 15 24 10 2-11-6 (a) Compute Dr,Ey. Ex 104 Ey 68 5210 y2 1986 (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Round your answers t x 10.4 2 458.71 s 21.42 6.8 69.29 13.01 (c) Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Round your answers to two decimal pla Lower Limit Upper Limit Use the intervals to compare the two funds O 75% of the returns for the balanced fund fall within a narrower range than those of the stock fund O 75% of the returns for the stock rund fan within a narrower range than those of the balanced fund 25% of the returns for the balanced fund fall with 2S% of the returns for the stock fund fal within a wider range than those of the balanced fund in a narrower range than those of the stock fund (d) Compute the coefficient of variation for each fund. (Round your answers to the nearest whole number.) cV FS

Explanation / Answer

c from Chebychev; 75 % values falls 2 std deviation from mean:

hence

as COV =(std deviation/mean)*100

hence

x y lower limit -32.44 -19.22 upper limit 53.24 32.82

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