The area under a particular normal curve between 11 and 14 is 0.8051. A normally distributed variable has the same mean and standard deviation as the parameters for this normal curve. What percentage of all possible observations of the variable lie between 11 and 14? % of all observations of the variable lie between 11 and 14. (Type an integer or a decimal.)

Suppose a population is known to be normally distribted with a mean, μ, equal to 116 and a standard deviation, σ,equal to 14. Approximately what percent of the population would be between 88 and 130?

Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of 0.22 inches and a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are at most 0.18 inches? Round your answer to at least four decimal places.

What is the z-score of x = 75, if it is 2.8 standard deviations to the left of the mean? Answer to the nearest tenth.

Suppose that the heights of adult men in the United States are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. What proportion of adult men in the United States is at least 6 feet tall? (Hint 6 feet=72 inches.) Round answer to at least 4 decimal places.

Suppose the weights of 3-month-old babies are normally distributed—baby boys with a mean of 14.3 pounds and a standard deviation of 1.7, and baby girls with a mean of 12.7 pounds and a standard deviation of 1.7. What proportion of 3-month-old baby girls will weigh between 12 and 13 pounds? (Round your answer to four decimal places.)

A normal population has a mean  μ = 31 and standard deviation = 8. What proportion of the population is less than 29?