A survey asked the question "What do you think is the ideal number of children for a family to have?" 516 males and 510 females answered the survey and responded with a numeric response from 0 to 6. The 516 males who responded had a mean of 3, and standard deviation of 1.1, where the 510 females had a median of 2, a mean of 3.03 and a standard deviation of 1.02. The 95% confidence interval for the female population mean is (2.94,3.12). Complete parts a through c below. 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.) b. The 95% confidence interval for males is (2.91,3.09). Explain what "95% confidence" means for this interval. Choose the correct answer below. O A. Ninety-five percent of males believe between 2.91 and 3.09 children is ideal. O B. We can be 95% confident that the proportion of males who want children is between 2.91 and 3.09. O C. We can be 95% confident that the mean number of children that males believe is ideal is between 2.91 and 3.09. O D. We can be 95% confident that a given male believes between 2.91 and 3.09 children is ideal. c. Compared to the interval for females, is there much evidence of a difference between the means? Explain. Choose the correct answer below. O A. There is a good amount of evidence of a difference between the means because the two intervals are not the same. O B. There is a high likelihood of a difference between the means because the sample means are not the same. O C. There is not much evidence of a difference between the means because the sample means and standard deviations are very similar, and the two intervals overlap significantly. O D. There is no possibility of a difference between the means because the confidence intervals overlap almost completely