Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 a. Find the mean and population standard deviation of the data set of ages B. Assume that random samples of size n = 2 are selected with replacement. Make a list of all of the possible samples of size 2. They are selected with replacement, i.e. the same student could be chosen twice. Also, selecting the age of 17
Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 a. Find the mean and population standard deviation of the data set of ages B. Assume that random samples of size n = 2 are selected with replacement. Make a list of all of the possible samples of size 2. They are selected with replacement, i.e. the same student could be chosen twice. Also, selecting the age of 17
Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 a. Find the mean and population standard deviation of the data set of ages B. Assume that random samples of size n = 2 are selected with replacement. Make a list of all of the possible samples of size 2. They are selected with replacement, i.e. the same student could be chosen twice. Also, selecting the age of 17
Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 a. Find the mean and population standard deviation of the data set of ages
B.
Assume that random samples of size n = 2 are selected with replacement. Make a list of all of the possible samples of size 2. They are selected with replacement, i.e. the same student could be chosen twice. Also, selecting the age of 17 first and 33 second is different from selecting 33 first and 17 second. You need to make a list of all the possible outcomes (there should be 25…..) Find the mean of each sample and construct a table representing the sampling distribution of the mean.
c. Compare the mean of the population to the mean of the sampling distribution of the mean
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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