Assume the average age of an MBA student is 29.6 years old with a standard devia

Question

Assume the average age of an MBA student is 29.6 years old with a standard deviation of 2.9 yoars a) Determine the coefficient of variation. b)Calculate the z-soore sor an MBA student who is 26 years old Us ng the o proal rule determine the range of ag stat wil indude 95% of the students around the mean. d)Using Chetyshev's e) Using Cebyshevs Theorem, determine temnge o, ages that will indde at least 7B% ofthe students aound the mean. Theorem, determine the range of ages that will include at least 94% of the students around the mean. a)The coefficient of variation is (Round to one decimal place as needed) bj The z-score for an MBA student who is 26 years old is (Round to two decimal places as needed.b c)Usng te emprical nie, te range of Round to one decimal place as needed.) ages that wint de 95% ofthe students around the mean in interval notation is ( D d Using Chebyshevs (Round to one decimal place as needed.) Theorem, the range of ages that wil include at least 94% of the sludents around the mean, in interval notaton, is OD o) Using Chebyshevn Theorem, the range of ages that wil include at least 78% of the students around the (Round to one decimal place as needed.) mean, în interval nataton, is01

Explanation / Answer

SolutionA:

cv=sd/mean*100

=2.9/29.6*100

=9.8%

ANSWER:9.8%

Solutionb:

z=x-mean/sd

=26-29.6/2.9

z =-1.24

ANSWER:z=-1.24

Solutionc:

Empirical rule is

95% of the data lies within 2 sd of the mean

mean-2sd and mean+2sd

29.6-2*2.9=23.8 and 29.6+2*2.9=35.4

range is 23.8 and 35.4

ANSWER:23.8,35.4

Solutiond:

1-1/k^2=0.94

1-0.94=1/k^2

0.06=1/k^2

k=4.08

mean-ksd and mean+ksd

29.6-4.08*2.9,29.6+4.08*2.9

17.8,41.4

ANSWER:17.8,41.4

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