Data from a 2006 GSS subsample show that the mean number of children per respondent was 1.87, with a standard deviation of 1.64. A total of 1,494 people answered this question. Estimate the population mean number of children per adult using a 90% confidence interval. We our 90% confident that the population mean number of children per adult is between

We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find M as such

In which is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.87 - 0.07 = 1.80 children

The upper end of the interval is the sample mean added to M. So it is 1.87 + 0.07 = 1.94 children.

We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.

9987

step-by-step explanation: