newspaper reporter is writing an article on employment status for young people who don’t have a high school diploma.  She obtains employment data from 24 randomly selected full-time young male workers without a high school diploma.  This data has a sample mean of $24,970 with standard deviation of $2300.  Using this sample data to test the claim that the mean annual salary of all full-time young male workers (without a high school diploma) is different from $26,000, we get the following results from the TI-84. Using a 0.05 level of significance, state the conclusion in terms of the given claim and explain how this conclusion was reached

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 + ...