The speed of cars on a specific road is normally distributed with a mean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
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The speed of cars on a specific road is
normally distributed with amean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
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- A particular fruit's weights are normally distributed, with a mean of 580 grams and a standard deviation of 27 grams.The heaviest 20% of fruits weigh more than how many grams?Give your answer to the nearest gram.A person records the speeds of various cars as they drive past their house. After 100 readings, the speeds of the cars are normally distributed with a mean of 23.84 mph and a standard deviation of 3.56 mph. a. If a car's speed has a z-score of -2, what speed was that car going? b. Calculate the z-score for a car that is driving at 28 mph. c. One car is observed as driving at 30 mph, and another at 15 mph. Which of the two is more unusual?A particular fruit's weights are normally distributed, with a mean of 747 grams and a standard deviation of 8 grams. The heaviest 13% of fruits weigh more than how many grams? Give your answer to the nearest gram.
- A survey found that women's heights are normally distributed with mean 63.2in. and standard deviation 2.7in. The survey also found that men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.6.Complete parts a through c below. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement. The percentage of women who meet the height requirement is (Round to two decimal places as needed.) b. Find the percentage of men meeting the height requirement. The percentage of men who meet the height requirement is (Round to two decimal places as needed.) c. If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new height requirements? The new height requirements are at least in. and at most in. (Round to one decimal place as needed.)A particular fruit's weights are normally distributed, with a mean of 380 grams and a standard deviation of 12 grams.The heaviest 9% of fruits weigh more than how many grams?Give your answer to the nearest gram.Identify the data value corresponding to the indicated percentile. The amount of sleep an adult gets per day is normally distributed with a mean of 7 hours and a standard deviation of 1.5 hours. Five percent of adults sleep more than how many hours per day?
- A particular fruit's weights are normally distributed, with a mean of 277 grams and a standard deviation of 39 grams. The heaviest 10% of fruits weigh more than how many grams? Give your answer to the nearest gram.The average price for a personal computer (PC) is $949.00. If computer prices are approximately normal with a standard deviation of σ = $100, then what amount do the least expensive 10% of personal computer cost less than?In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 19 with a standard deviation of 18 days. Assume the data to be approximately bell-shaped. Approximately 95% of all customer accounts have the average number of days between two values A and B. What is the value of B? Write only a number as your answer.
- Animals of a given weight are operated on in a veterinary hospital. The dose of anesthetic A (in mg) required to render animals suitably unconscious for the operation is normally distributed with mean 120 and standard deviation 20. The lethal dose L (in mg) of the same anesthetic for these animals is also normally distributed, with mean 350 and standard deviation 50. (Help on part a and b) a. Find a dose "D" that the vet should administer, in order that 99.9% of animals will be suitably unconscious for the operation. b. If the dose "D" that you found in part a is administered, what percentage of animals die?A quantitative data set has size 50. At least how many observations lie within three standard deviations to either side of the mean?A particular fruit's weights are normally distributed, with a mean of 760 grams and a standard deviation of 13 grams. The heaviest 14% of fruits weigh more than how many grams? Give your answer to the nearest gram.
