Question

A survey asked the question​ "What do you think is the ideal number of children for a family to​ have?" 411 males and 343 females answered the survey and responded with a numeric response from 0 to 6. The 411 males who responded had a mean of 3.18​, and standard deviation of 1.6​, where the 343 females had a median of​ 2, a mean of 3.27 and a standard deviation of 1.69. The​ 95% confidence interval for the female population mean is (3.09​, 3.45​).

a. Find the point estimate of the population mean for males and its standard error.

-The point estimate of the population mean is:

​(Round to two decimal places as​ needed.)

-The standard error of the sample mean is:

​(Round to three decimal places as​ needed.)

Answer 1

For males,

We have,

Sample size = n = 411

Sample mean =

Standard deviation = s = 1.6

Answer(a):

We know that the point estimate of population mean is sample mean.

Hence in this case the point estimate of population mean for males will the sample mean of males i.e. 3.18

The point estimate of the population mean is: 3.18

The standard error of sample mean is given as follows:

The standard error of the sample mean is: 0.079