Question

In: Statistics and Probability

use the data collected from the 2012 General Social Survey (GSS) in which 1,298 respondents reported...

use the data collected from the 2012 General Social Survey (GSS) in which 1,298 respondents reported on the number of hours they watched tv per day. The results show that the average (mean) number of hours spent watching tv per day is 3.089 hours with a standard deviation of 2.87 hours.

3.) Calculate a 95% confidence interval to estimate the mean number of hours of tv the average American watches per day. Interpret this in English. what does this mean?

Expert Solution

3)

Solution :

Given that,

Point estimate = sample mean = = 3.089

Population standard deviation = = 2.87

Sample size = n = 1298

Z_/2 = Z _0.025 = 1.96

Margin of error = E = Z_/2* ( / $\sqrt$ n)

= 1.96 * (2.87 / $\sqrt$ 1298)

= 0.156

At 95% confidence interval estimate of the population mean is,

- E < < + E

3.089 - 0.156 < < 3.089 + 0.156

2.933 < < 3.245

A 95% confidence interval to estimate the mean number of hours of tv the average American watches per day is 2.933 to 3.245 .

orchestra answered 2 years ago

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