According to the South Dakota Department of Health, the number of hours of TV vi

Question

According to the South Dakota Department of Health, the number of hours of TV viewing per week is higher among adult women than adult men. A recent study showed women spent an average of 35 hours per week watching TV, and men, 31 hours per week. Assume that the distribution of hours watched follows the normal distribution for both groups, and that the standard deviation among the women is 4.2 hours and is 4.8 hours for the men.

a. What percent of the women watch TV less than 38 hours per week? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

Probability

b. What percent of the men watch TV more than 25 hours per week? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

Probability

c. How many hours of TV do the two percent of women who watch the most TV per week watch? Find the comparable value for the men. (Round your answers to 3 decimal places.) Number of hours

Women

Men

Explanation / Answer

a) Mean = 35

SD = 4.2

z = (38 - 35)/4.2 = 0.71

P = 0.238852 or = 23.8852%

b)

Mean = 31

SD = 4.8

z = (25 - 31)/4.8 = - 1.25

P = 0.89435 or = 89.4350%

c) z = 2.02 for top 2%

Women:

(x - 35)/4.2 = 2.02

x = 43.484

Men:

(x - 31)/4.8 = 2.02

x = 40.696

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