Question

Suppose weights, in pounds, of dogs in a city have an unknown distribution with mean 27 and standard deviation 4 pounds. A sample of size n=42 is randomly taken from the population and the sum of the values is taken. Using the Central Limit Theorem for Sums, what is the standard deviation for the sample sum distribution?

Answer 1

O Solutioni Guppose Cocigisis in Pounds , of clogs in a city have acnknoon :- Rescrired information is given by rdean Ella ut Clandard deviation cr=4 Sample Size =0= 42 Caocular : cuising Central limit theorem, what it the standard deviation for the Komple com dictibution in Ik bole to obtained the Standard deviation for the sample com distribution by asing Central limit theorem is, Elere, → Standard deviation for the Gampe San Citstribution is Gd=rtro = (1 + ruz - 4* 6.61Botu = 95.90041 05.9209) Therefore, (ctarcoid deviation for the sample cum diftribution is Stanchi I