Question

The American Time Use Survey measures the amount of time that people spend on various activities....

The American Time Use Survey measures the amount of time that people spend on various activities. A 2016 random sample of 2,190 households found that the average person watches 2.73 hours of TV per day (TRUE!!) with a standard deviation of 1.64 hours. Show your work.

a. Build a 90% confidence interval for average daily TV viewing.

b. Briefly explain what this confidence interval means.

sample size = n = 2190

average person watches 2.73 hours of TV per day i.e.

standard deviation is 1.64 hours i.e.

Step 1: Margin of error

z value for 2190 at 90% confidence interval

z value for 90% CI is 1.645 as P(-1.645<z<1.645)=0.90

Step 2: Confidence interval = Mean +/- Margin of error

90% Confidence interval for average daily viewing is 2.672 to 2.788 hours

(b) Confidence interval is the interval that we are 90% confident that the true unknown value of the population mean will lie in the given interval.

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