A survey asked the question What do you think is the ideal n

A survey asked the question \"What do you think is the ideal number of children for a family to have?\" The 550 females who responded had a median of 2, mean of 3.05: and standard deviation of 1.56. Answer parts a-d. What is the point estimate of the population mean? Find the standard error of the sample mean. standard error = (Round to three decimal places as needed.) The 95% confidence interval is (2.92, 3.18). Interpret. We can be 95% confident that the proportion of females who want children is between 2.92 and 3.18. Ninety-five percent of females want between 2.92 and 3.18 children. We can be 95% confident that a given female will want between 2.92 and 3.18 children. We can be 95% confident that the mean number of children that females would like to have is between 2.92 and 3.18. Is it plausible that the population mean fi = 2? Yes: because the median is 2. No, because the sample mean was not 2. No, because 2 falls outside the confidence interval. Yes, because 2 falls outside the confidence interval.

Solution

a)
Point of estimate = 3.05
b)
\"Standard Error= sd/ Sqrt(n)
Where,
sd = Standard Deviation
n = Sample Size

Standard deviation( sd )=1.56
Sample Size(n)=550
Standard Error = ( 1.56/ Sqrt ( 550) )
= 0.067\"
c)
Option D
d)
No, becuase the ideal interval mean is lies in interval
[   2.92, 3.18 ]