Prob(X > 0.57) = Prob(Z > 2) = 0.02275 = 2.275%
84% To solve this problem, you must first realize that 66 inches is one standard deviation below the mean. The empirical rule states that 34% will be between the mean and 1 standard deviation below the mean. We are looking for the prob. of the height being greater than 66 inches, which is then 50% (for the entire right side of the distribution) + 34%
Step-By-Step: 5x30=150 It is not greater.
Greater than
327 inches is greater.
38 inches is two inches longer than three feet.38 in.
3
2.3
Standard deviation = square root of variance.
The standard deviation of height in the US population is approximately 3 inches.
84% To solve this problem, you must first realize that 66 inches is one standard deviation below the mean. The empirical rule states that 34% will be between the mean and 1 standard deviation below the mean. We are looking for the prob. of the height being greater than 66 inches, which is then 50% (for the entire right side of the distribution) + 34%
A standard deviation is a statistical measure of the variation there in a population or group. A standard deviation of 1 means that 68% of the members of the population are withing plus or minus the value of the standard deviation from the average. For example: assume the average height of men is 5 feet 9 inches, and the standard deviation is three inches. Then 68% of all men are between 5' 6" and 6' which is 5'9" plus or minus 3 inches. [Note: this is only to illustrate and is not intended to be a real/correct statistic of men's heights.]
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Given a mean height of 65 inches and a standard deviation of 2.5 inches, this means that approximately 68% of women will have heights between 62.5 inches (65 - 2.5) and 67.5 inches (65 + 2.5).
A normal distribution with a mean of 65 and a standard deviation of 2.5 would have 95% of the population being between 60 and 70, i.e. +/- two standard deviations.
45.665 inches Type your answer here... what is the answer??
According to the empirical rule (68-95-99.7 rule), approximately 99.7% of the population falls within three standard deviations of the mean. Given a mean height of 68 inches and a standard deviation of 4 inches, this range is calculated as follows: 68 inches ± 3(4 inches), which results in a height range of 56 inches to 80 inches. Thus, 99.7% of the population will have a height between 56 inches and 80 inches.
Suppose a normal random variable has a mean of 72 inches and a standard deviation of 2 inches. Suppose the random variable X measures the height of adult males in a certain city. One may therefore conclude that approximately 84% of the men in this population are shorter than?
Mean = 163.4/2.54 = 64.33 inches approx, and sd = 6.7/2.54 = 2.64 inches, approx.