Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Nation in Nevada.  President, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout.  Let row B represent hours per fish caught fishing from the shore and let row A represent hours per fish caught using a boat.  The following data re paired by month from October through April.   Oct. Nov. Dec. Jan. Feb. Mar. Apr. B: Shore 1.6 1.8 2.0 3.2 3.9 3.6 3.3 A: Boat 1.5 1.4 1.6 2.2 3.3 3.0 3.8   Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore.

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 + ...