CLT Review.notebook December 02, 2015 1. Hamster weights are normally distributed with μ = 10 lbs. and σ = 3.5 lbs. a. I randomly select 1 hamster. What is the probability that it weighs less than 6.5 lbs? 1
CLT Review.notebook December 02, 2015 1. Hamster weights are normally distributed with μ = 10 lbs. and σ = 3.5 lbs. b. If 40 hamsters are randomly selected, what is the probability that these hamsters have an average weight greater than 11 lbs? 2
CLT Review.notebook December 02, 2015 2. Men’s heights are normally distributed with μ = 2. Men’s heights are normally distributed with μ = 2. Men’s heights are normally distributed with μ = 69.5 inches and σ = 2.5 inches. 69.5 inches and σ = 2.5 inches. 69.5 inches and σ = 2.5 inches. a. Find the probability that a randomly selected a. Find the probability that a randomly selected a. Find the probability that a randomly selected male is taller than 72 inches. male is taller than 72 inches. male is taller than 72 inches. 3
CLT Review.notebook December 02, 2015 2. Men’s heights are normally distributed with μ = 69.5 inches and σ = 2.5 inches. b. Find the probability that 10 selected men have an average height greater than 70 inches. 4
CLT Review.notebook December 02, 2015 2. Men’s heights are normally distributed with μ = 69.5 inches and σ = 2.5 inches. c. Find the probability that 20 selected men have an average height less than 68 inches. 5
CLT Review.notebook December 02, 2015 3. The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies a newborn as having low birth weight if the weight is less than 5.5 pounds. a. What is the probability that a baby chosen at random weighs less than 5.5 pounds at birth? 6
CLT Review.notebook December 02, 2015 3. The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies a newborn as having low birth weight if the weight is less than 5.5 pounds. You choose three babies at random and compute their mean weight, . b. What are the mean and standard deviation of the mean weight of the three babies? 7
CLT Review.notebook December 02, 2015 3. The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies a newborn as having low birth weight if the weight is less than 5.5 pounds. You choose three babies at random and compute their mean weight, . c. What is the probability that their average birth weight is less than 5.5 pounds? 8
CLT Review.notebook December 02, 2015 4. Bunny weights are normally distributed with a mean weight of 5 lbs and a σ = 0.5 lbs. If 10 bunnies are randomly selected, find the probability that the average from these 10 bunnies is between 4.8 and 5.5 pounds. 9
CLT Review.notebook December 02, 2015 5. A certain beverage company is suspected of underfilling its cans of soft drink. The company advertises that its cans contain, on the average, 12 ounces of soda with standard deviation 0.4 ounce. Compute the probability that a random sample of 50 cans produces a sample mean fill of 11.9 ounces or less. 10
CLT Review.notebook December 02, 2015 11
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