2. Botany studěnts are making research on the effects of an organic fertilizer in thegrowth of gumamela. On average, the height of a gumamela plant is 227.5 cm with standard deviation of 51.4 cm. What is the probability that a random gumamela plant would grow up to 381.7 cm? O Screen cap
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- The miles-per-gallon obtained by the 1995 model Z cars is normally distributed with a mean of 22 miles-per-gallon and a standard deviation of 5 miles-per-gallon. a. What is the probability that a car will get between 13.35 and 35.1 miles-per-gallon? b. What is the probability that a car will get more than 29.6 miles-per-gallon? c. What is the probability that a car will get less than 21 miles-per-gallon?An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 136 lb and a standard deviation of 34.9 lb a. If a pilot is randomly selected find the probability that his weight is between 130 lb and 191 lb.A standard I.Q. test produce normally distributed results with a mean of 100 and a standard deviation of 15 for the city of New York. What is the probability that the I.Q below 67?
- A new species of dragonfly has an approximate body length of 45 mm with a standard deviation of 3 mm. In a sample of 40 dragonflies, what is the probability that the sample mean of the body length of the sample is between 44.5 and 45.5?In bags of Happy Trail Mix, the number of raisins is skewed left with a mean of 33.6 and a standard deviation of 8.4, while in bags of a generic trail mix, the number of raisins is skewed right with a mean of 28.8 and a standard deviation of 12.7. What is the probability in a sample of 17 randomly selected Happy Trail Mix bags and a sample of 17 randomly selected generic bags that the mean number of raisins in the Happy Trail Mix is more than the mean number of raisins in the generic mix? approximately 0 0.0968 0.8219 0.90326) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.
- The diameter of ping-pong balls manufactured by a French company is 1.57 inches with a standard deviation of .05 inches. If a sample of 36 ping-pong balls is selected from a shipment of 600 ping-pong balls, what is the probability that the sample mean will be greater than 1.58 inches?A) The distribution of the number of gallons of water used for taking a shower in the UnitedStates are skewed right. Some people take long showers using as much as 63 gallons compared to the average of 17.2 gallons. A conservationist is interested in the mean number of gallons of water used in college apartments housing 4 students. Assuming a standard deviation of 4.2 gallons for all US showers, what is the probability that a random sample of 30 college student showers will have a mean water usage of more than 19 gallons of water? This question is for AP statistics about sampling distribution and normal model. Can you help me with this?A recycling plant compresses aluminum cans into bales. The weights of the resulting bales are known to have a mean of 100 lbs and a known standard deviation of 6 lbs. A simple random sample of 36 bales is taken. What is the probability that the bales will weigh, on average, less than 102 pounds?
- A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeteres. Question: If one part is randomy selected, find the probability that the part is less than 19.3 centimeters.A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation that is at least 2.1 mg claimed by the manufacturer. Identify the alternative hypothesis Ha.