The heights of 16-year old girls vary according to a normal distribution with a population mean of 158 centimeters (cm) and a population standard deviation of 24 cm. With this information, we can determine that the probability a randomly selected 16-year old girl drawn from the population measures between 150 cm and 160 cm is approximately 0.16.
True or False?
The heights of 16-year old girls vary according to a normal distribution with a population mean...
7.5 we've established that heights of 10-year-old boys vary according to a Normal distribution with u = 138 cm and o = 7 cm a) What proportion of this population is less than 150 cm tall? b) What proportion is less than 140 cm in height? c) What proportion is between 150 and 140 cm?
We’ve established that heights of 10-year-old boys vary according to a Normal distribution with μ = 140 cm and σ = 5 cm. What proportion is between 150 and 140 cm? a. 68% b. 50% c. 97.72% d. 47.72%
According to the CDC, the distribution of heights of 12-year-old males is approximately symmetric and bell-shaped with a mean of 149 cm and a standard deviation of 9 cm 9) a) About what percentage of 12-year-old boys are more than 158 cm tall? 16% b) About what percentage of 12-year-old boys have heights between 131 and 140 cm? 13.5%
The heights for 5-year-old boys follow the normal distribution with a mean height of 43 inches and a standard deviation of 5.3 inches. A sample of 60 boys is randomly selected.If possible, find the probability that the mean height of boys in the sample is higher than 42 inches. If not, explain.
1.Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. What is the probability that a randomly chosen 10 year old is shorter than 48 inches? 2. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? 3.Heights of...
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Suppose 200 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Determine (a) the mean and standard deviation of the sampling distribution of X; (b) the number of sample means that fall between 171 and 177 cm.
The heights of a certain population of corn plants follow a distribution with mean 145 cm and standard deviation 22 cm. (a) Suppose we were to choose a sample of size 16 at random from the population, what would be the mean and standard deviation of the sample average? (b) Suppose we were to choose a sample of size 16 at random from the population, what would be the distribution of the sample average? (c) Suppose we were to choose...
According to data for a population, 3-year-old boys have a mean height of 38 inches and a standard deviation of 2 inches. Assume the distribution is approximately Normal. Complete parts a and b a. Find the percentile measure for a height of 41 inches for a 3-year-old boy A height of 41 inches corresponds to the 93 rd percentile. Round down to the nearest percentile as needed.) b. If this 3-year-old boy grows up to be a man with a...
6. The heights of men selected from a particular population have a normal distribution with mean 68 inches and standard deviation 4 inches. a. Find the percentage of men in the population who are taller than 72 inches. b. . Find the percentage of men who are between 64 and 74 inches tall C. Suppose 25% of men in this population are taller than Ralph. How tall is Ralph?
Question 17 Hemoglobin levels in 11-year-old boys vary according to a Normal distribution with σ = 1.2 g/dl. How large a sample is needed to estimate mean μ with 95% confidence so the margin of error is no greater than 0.5 g/dl? A. 32 B. 23 C. 21.3 D. 25