Thank you so much drin Comparing two populations. Example (Age of customers Comp

Question

Thank you so much drin Comparing two populations. Example (Age of customers Company with department stores in Atlanta, Georgia has stores in inner city and in suburban shopping centers. Customers in different shops are sampled randomly and their age is recorded. Table: Age of customers in inner city and suburban stores. store type sample size sample mean (age) sample SD (age) inner city n1 600 40yrs 81 9yrs suburban n2 80 35yrs 82 10yrs Table: Two types of errors in hypothesis testing. Question. Are customers shopping in inner city stores older than customers in suburban stores? How could one answer such a question?

Explanation / Answer

The central limit theorem (CLT) is a statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.urthermore, all of the samples will follow an approximate normal distribution pattern, with all variances being approximately equal to the variance of the population divided by each sample's size.

now ages of customers may not follow normal distribution , but

if n > 30 , we can apply CLT ,

but since n1 =60 >30 & n2 = 80 >30 we can use CLT to approxmate Xbar and Ybar as normal distribution

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