Answer to Question #296993 in Statistics and Probability for sean

Question

Question 5

A statistician is studying blood pressure levels of Italians in the

age range 75-80. The following is some information about her study:

The data were collected by responses to a survey conducted by email,

and no measures were taken to get information from those who did not

respond to the initial survey email.

The sample observations only make up about 4% of the population.

The sample size is 2,047.

The distribution of sample observations is skewed - the skew is easy to see, although not very extreme.

The

researcher is ready to use the Central Limit Theorem (CLT) in the main

part of her analysis. Which aspect of the her study is most likely to

prevent her from using the CLT?

Answer 1

The following three aspects of her study will most likely prevent her from using the Central Limit theorem.

1. She only has data from a small proportion of the entire population.
2. The sample she took may not be random therefore, observations may not be independent.
3. The sample size is too small as compared to all Italians within the age interval 75-80