A statistics textbook [11] gives this example:

Suppose a downtown department store questions forty-nine downtown shoppers concerning their age.… The sample mean and standard deviation are found to be 40.1 and 8.6, respectively. The store could then estimate μ, the mean age of all downtown shoppers, via a 95% confidence interval as follows:

Thus the department store should gear its sales to the segment of consumers with average age between 37.7 and 42.5.

Explain why you either agree or disagree with this interpretation: 95 percent of downtown shoppers are between the age of 37.7 and 42.5.

Transcribed Image Text:

X+1.96 S n 40.11.96 8.6 49 40.1 2.4