Please, type out (not handwritten) and simplify answers. Thanks! 4. The mean age
ID: 3314975 • Letter: P
Question
Please, type out (not handwritten) and simplify answers. Thanks!
4. The mean age of all 2550 students at a small college is 22.8 years with a standard deviation of 3.2 years, and the distribution is right -skewed. A random sample of 4 students’ ages is obtained, and the men is 23.2 with a standard deviation of 2.4 years. a) [u= ? o=? s= ? *=? (4 pts) b) Is u a parameter or a statistic? (2 pts) c) Are the conditions for using the CLT fulfilled? (2 pts) d) What would be the shape of the approximate sampling distributions of many means, each from a sample of 4 students? (2pts) e) Would the shape be right-skewed, normal, or left-skewed? (2pts)Explanation / Answer
a)mu=22.8 ,sigma=3.2 ,xbar=23.2 ,s=2.4
b)mu is a parameter because it is found from population.
c)No, because the large sample condition is not satisfied.
d)sampling distribution of many means each from sample size 4 would be normal or symmetric.
e)shape would be normal