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?\" Th493 females who responded had a median of 2. mean of 3.35. and standard deviation of 1.33. Answer parts a-d. What is the point estimate of the population mean? Find the standard error of the sample mean. The 95% confidence interval is (3.23- 3.47). Interpret. Is it plausible that the population mean mu= 2?

Solution

Given n =493 ; median = 2 ; mean = 3.35 ; sd = 1.33

a) The point estimate of the population mean is 3.35

b) standard error of the sample mean = sd/sqrt(n) = 1.33/sqrt(493)=0.0599

c) Answer is C; we can 95% confident that the mean number of children that female would like to have is between 3.23 and 3.47

d) Answer is C.