Answer:
Step-by-step explanation:
a)
To construct a confidence interval ,the histogram should be bell shaped.It means that the it should be normally distributed with no skewness.To eliminate the skewness a large sample size is required so that the sample is normally distribute about the mean Also ,in order to construct a t-interval the sample data must come from the population that is normally distributed or the sample size is larger than 30.Since the question stated that the population distribution is skewed to the right \bar{x} is guaranteed to be normally distributed if
b)The sample satisfies the normal distribution because the sample sixe is greater than 30 which is 1001.
c) [
Area in the right tail =2.5% or .025
degree of freedom =1001-1 =1000
95% confidence interval is :
lower bound is :
upper bound is :
d)No because the sample data was obtined from Americans age 15 or older which cannot be applied to a different age group