I am looking for verification I have calculated confidence interval correctly and for assistance on how to calculate confidence interval when using gender. Thank you!

1D #4 Gender Age Sentence Number of Months} Siblings 1 Male 22 200 4 2 Female 25 134 2 3 Female 19 136 l 4 Male 30 19'." 0 5 Female 23 124 1 Female 24 l 13 1 Female 26 153 6 Female 32 164 3 Female 26 124 2 Female 21 12'." 4 Female 28 213 4 Male 24 128 0 Male 23 208 1 Female 24 146 2 Male 26 226 0 Female 21 128 1 Female 19 l 16 3 Male 20 189 3 Male 24 167' 2 Female 23 197' 0 1. Calculate the confidence interval for the following variables. a. Sentence (months) i. CI = 146 to 178 162 -16 =146 and 162 +16 = 178 ii. We can be 95% confident that the actual mean sentence length (months)is not less than 146 months and not greater than 178 months. b. Number of Siblings i. CI = 1.25 _to 2.75 2-.745 = 1.25 and 2+.745 = 2.75 ii. We can be 95% confident that the actual mean of number of siblings is not less than 1.25and not greater than 2.75 2. Calculate the confidence intervals of the following proportions. a. Find the 95% confidence interval for male. i. We are 95% confident that the true population percentage of inmates who identify as male is between _% and b. Find the 95% confidence interval for female. i. We are 95% confident that the true population percentage of inmates identifing as female is between % and %