Question

1. Suppose that the number of pairs of clothes in a year by Europeans is normally distributed and the mean number of clothes is 10 a year. Suppose that a researcher takes 2,950,000 samples of Europeans, and each sample consists of 1000 Europeans. She asks each European how many pairs of clothes they buy in a year. She then calculates a mean for each of the 2,950,000 samples. If she added up the mean for each of the 2,950,000 samples, and divided by 2,950,000, what would be answer that she would obtain? Explain the answer. 5 points

Answer 1

Answer)

According to the central limit theorem, mean of the samples is equal to the mean of the population

And we know that mean = (sum of the observations)/(number of observations)

Here 2950000 is the number of observations

And here she added up mean of all 2950000 samples and divided it by 2950000

So, it would result in the population mean

Which is given as 10