Using the Central Limit Theorem · Exercise 1
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 weights of one 25-pound lifting weight? What is the mean and standard deviation?
(b) What is the distribution for the mean weight of 100 25-pound lifting weights?
(c) Find the probability that the mean actual weight for the 100 weights is less than 24.9.
OpenStax, Introductory Business Statistics 2e · §7.2 Using the Central Limit Theorem · Exercise 1
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