SOLUTION: The AC Nielsen Company reported in the Nielsen Report on Television that the distribution of weekly television viewing time for children aged 2-11 years is normally distributed wit

Question 1112177: The AC Nielsen Company reported in the Nielsen Report on Television that the distribution of weekly television viewing time for children aged 2-11 years is normally distributed with a mean of 24.5 hours and a standard deviation of 6.23 hours.
Draw a complete graph of each situation and find the answer.
a. What percent of children aged 2 � 11 watch more than 30 hours per week?
b. What percent of children aged 2 � 11 watch fewer than 10 hours per week?
c. What percent of children aged 2 � 11 watch between 20 and 25 hours per week?
d. How many hours of TV watching per week defines the children who are in the top 10%?
e. What are the three quartiles for the distribution described above?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Normal curve has mean at 24.5, and -1sd at 18.27, -2sd at 12.04, and -3 sd at 5.81. It has + 1sd at 30.73, +2sd at 36.96 and +3sd at 43.19
a. z=(x-mean)/sd, which is z > (30-24.5)/6.23 or z > 0.88, probability is 0.1887
b. z < (10-24.5)/6.23 or z < -2.33, probability is 0.0100
c. z between -0.72 and +0.08, probability is 0.2961
d. top 10% is z=+1.28 or 7.97 above the mean or greater than 32.47 or 32.5
e. 1 and 3 quartiles are +/- z=0.674 or +/- 4.20
Q1 is 20.3
Q2 is 24.5
Q3 is 28.7
RELATED QUESTIONS
Children Watching TV. The A.C. Nielsen Company reports in te Nielsen Report on... (answered by stanbon)

Can someone please assit me with this? I am not getting this at all. An April 2004... (answered by Theo)

An April 2004 article on Hear The Issues.com stated that Americans have an average of... (answered by rothauserc)

Nielsen Media Group announced that slightly more than 10% of all televisions were tuned... (answered by reviewermath)

It is reported that the average daily viewing of television is 8.5 hrs per household with (answered by stanbon)

Whats the sum of t TVs and 11... (answered by stanbon)

The Nielsen Company reported that children between the ages of 2 and 5 watch an average... (answered by stanbon)

A plasma TV company determines that its total profit on the production and sale of x TVs... (answered by stanbon)

It has been estimated that 40% of the televisions that the manufacturer makes need... (answered by Boreal)