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In: Statistics and Probability

We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day,...

We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours. Answer the following questions, assuming the distribution of the number of television hours is normal. What is the Z score for a person who watches more than 8 hrs/day. What proportion of people watch 5 hrs/day or more television? How many does this correspond to in the sample? What number of television hours per day corresponds to a Z +1. What is the percentage of people who watch between 1 and 6 hours of television per day? Please round to a whole numbe

Solutions

Expert Solution

Let us define

X: The number of hours respondents watched television per day in 2006

Given that

To find the Z score of the person who watches more than 8 hours

To find the proportion of people who watch more than 5 hrs we need to find probability

This probability is calculated via the probability tables

Hence approximately 20% of the people watch television for more than 5 hours a day.

To find the number of people in sample who watch more than 5 hours

Hence approximately 130 people watch more than 5 hrs of television in the sample.

What number of television hrs corresponds to Z+1=3.0916 is

Therefore

Hence 10.4 hrs corresponds to Z+! score.

To find percentage we need to find probability first

Hence 68.53% or approximately 69% of people watch television between 1 to 6 hours.

orchestra answered 2 years ago
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