What statistical analysis could be used to determine if the mean percentage of psychology readings assigned in the Midwest was significantly different than in all of the United States? single-sample t test In which of the following four categories does this situation fall? nominal independent variables, scale dependent variable How many nominal independent variables are there? One nominal variable How many levels does this independent variable have? two levels How many samples are there? one sample with the second level represented by the population For the levels represented by a population, what parameters do you know with respect to the scale dependent variable? the population mean Based on the answers to these questions, what test would use use?  a. z test b. single-sample t test

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 + ...