10. 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. Find the probability that the mean actual weight for the 100 weights is greater than 24.8. (Round your answer to four decimal places. b. Find the 95th percentile for the mean weight for the 100 weights. (Round your answer to two decimal places.) c. Find the 85th percentile for the total weight for the 100 weights. (Round your answer to two decimal places.
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8. Given: Mean weight (μ) = 25 pounds Standard deviation (σ) = 0.5774 Sample size (n) = 100 Target weight = 24.8 Calculate the z-score: \[ z = \frac{24.8 - 25}{\frac{0.5774}{\sqrt{100}}} = -0.4 \] Using a standard normal distribution table, find the probability Show more…
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