According to the South Dakota Department of Health, the mean number of hours of

Question

According to the South Dakota Department of Health, the mean number of hours of TV viewing per week is higher among adult women than men. A recent study showed women spent an average of 34 hours per week watching tv and men 29 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 4.5 hours and is 5.1 hours for the men.

A. What is the z score for a woman who watches 30 hours of TV per week?

B. What is the z score for a man who watches 30 hours of TV per week?

C. Who has the higher relative standing the man or the woman?

D. Find the number of hours of tv watching for women that divides the top 5% from the bottom 95%.

E What is the probability a random man watches less than 30 hours of TV per week?

Explanation / Answer

A.The z score for a woman who watches 30 hours of TV per week is:

Z=(x-)/

=(30-34)4.5=-0.89

B.The z score for a man who watches 30 hours of TV per week is:

Z=(30-29)/5.1=0.19

C.The higher relative standing is for men.

E.Find P(x<30)=P(z<0.19)=0.5753

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