please help with multiple choice 1-5, thank you

Question 1 (1 point) Consider the sample 55, 65, 56, 54, 63, 68, 70, 52 from a normal population with population mean u and population variance 02. Find the 95% confidence interval for p. O 3) 603811054 O b} 603815.81 O c} 503319.14 C) d) 603811021 C) e) 603811112 Question 2 (1 point) Consider the sample 98, 120, 101, 91, 100, 112, 111, 95, 103, 109 from a normal population with population mean u and population variance 02. Find the 95% confidence interval for p. O a) 104011033 C) b) 104019.23 O c) 104019.54 C) d) 104.015.78 C) e) 104.0:634 Question 3 (1 point) Suppose X1,...,Xn is a sample of successes and failures from a Bernoulli population with probability of success p. Let Ex=335 with n=440. Then a 85% confidence interval for p is: a) .7614 +.0689 O b) .7614 + .0393 O c) . 7614 + .0589 O d) .7614 +.0293 O e) .7614 +.0582Question 4 (1 point) Suppose X1,...,Xn is a sample of successes and failures from a Bernoulli population with probability of success p. Let Ex=266 with n=400. Then a 75% confidence interval for p is: Please choose the best answer. a) . 665 +.0288 O b) . 665 +.037 O c) . 665 +.0271 O d) . 665 +. 0323 e) . 665 +.0258