The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.) μ = 35 and σ = 3.2 inches (a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 32.8 and 37.2 inches? (b) A classroom of 25 of these children is used as a sample. What is the probability that the class mean x is between 32.8 and 37.2 inches? (c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 36.5 inches? (d) A classroom of 25 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 36.5 inches?
The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.) μ = 35 and σ = 3.2 inches (a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 32.8 and 37.2 inches? (b) A classroom of 25 of these children is used as a sample. What is the probability that the class mean x is between 32.8 and 37.2 inches? (c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 36.5 inches? (d) A classroom of 25 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 36.5 inches?
The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.) μ = 35 and σ = 3.2 inches (a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 32.8 and 37.2 inches? (b) A classroom of 25 of these children is used as a sample. What is the probability that the class mean x is between 32.8 and 37.2 inches? (c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 36.5 inches? (d) A classroom of 25 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 36.5 inches?
The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.)
μ = 35 and σ = 3.2 inches
(a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 32.8 and 37.2 inches?
(b) A classroom of 25 of these children is used as a sample. What is the probability that the class mean x is between 32.8 and 37.2 inches?
(c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 36.5 inches?
(d) A classroom of 25 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 36.5 inches?
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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