Use the following information to answer the next 10 exercises: 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.
- What is the distribution for the weights of one 25-pound lifting weight? What are the mean and standard deivation?
- What is the distribution for the mean weight of 100 25-pound lifting weights?
- Find the probability that the mean actual weight for the 100 weights is less than 24.9.
OpenStax Statistics, 7.3 Using the Central Limit Theorem, exercise 14