AppenanAi ian 5. A survey of college students reported that in a sample of 413 m

Question

AppenanAi ian 5. A survey of college students reported that in a sample of 413 male college students, the average number of energy drinks consumed per month was 2.49 with a standard deviation of 4.87, and in a sample of 382 female college students, the ("quick method"") to construct a 99%C.L for the difference between men and women in (b) Based on the C.I., is it reasonable to believe that the mean number of energy drinks consumed may be the same for average was 1.22 with a standard deviation of 3.24. (4 pts) (a) USE YOUR CALCULATOR mber of energy drinks consumed. No need to provide a formula. both male and female college students?

Explanation / Answer

a)

Population 1 is for male college students and population 2 is for female college students

Sp^2= (n1-1)S1^2+(n2-1)S2^2/(n1-1)+(n2-1)

         = (413-1)*4.87^2+(382-1)*3.24^2/412+381

         = 13770.9484/793

         = 17.3656

(X1-X2)+/-ta/2*Sp^2(1/n1+1/n2)

(2.49-1.22)+/-2.58*17.3656(1/413+1/382)

LCL=1.27-0.7632=0.5068

UCL=1.27+0.7632=2.0332

b)

Looking at the answer, it seems that the mean number of drinks consumed is different and is more for male college students

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