Lemma
MediumSampling distributions
OpenStax, Introductory Statistics 2e §7.3 Using the Central Limit Theorem · Exercise 7 · Statistics · Sampling distributions

Using the Central Limit Theorem · Exercise 7

A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.

(a) What is the distribution for the sum of the weights of 100 25-pound lifting weights?
(b) Find P(Σx < 2,450).

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OpenStax, Introductory Statistics 2e · §7.3 Using the Central Limit Theorem · Exercise 7

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