Note: Confidence Interval depends on how much confidence you may have that the sample mean will reflect the population mean or the Population Mean will fall between two scores?Formula:95% Confidence = Score + 1.96 (standard deviation)99% Confidence = Score + 2.56 (standard deviation)Question: if the mean spelling score for a random sample of 100 Sixth graders is 74 and the standard deviation is 6.What confidence can you have in predicting the population mean for the average spelling score for the entire population of third graders? At 95% confidence interval, calculate and interpret/explain. Show all your work

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 + ...