According to the USDA World Agricultural Supply and Demand Estimates report found that Americans consumed an average of 279 eggs per person in 2019. The farmers at Eggcellent Acres believes the number of eggs consumed by Americans has increased over the last few years. Based on the Minitab printout below, test to determine if the average number of eggs consumed by Americans has increased. Test at the 0.10 level of significance. (Show all six steps.) One-Sample T: Eggs Consumed Descriptive Statistics 95% Lower Bound N Mean StDey SE Mean for μ 2.56 280.74 78 285.00 22.59 population mean of Sample Test Null hypothesis Ho: =279 Alternative hypothesis H₁: > 279 T-Value P-Value 2.35 0.011

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 + ...