For each problem, write which test you used in your calculator, draw the graph, calculate p-value, and write your conclusion in a complete sentence. Types of Tests: 2 sample mean t, 2 sample mean z, 2 sample proportion z, difference between means t. A study is done on a SRS of 25 dogs that had their paws burned in the fires in southern California. For each dog, the left front paw was treated with an herbal gel and the right front paw was treated with a traditional burn gel. The burns on each paw are examined after two weeks and the mean difference in the severity of the burns in the left paw and right paw was 5.8 with a sample standard deviation of differences of 1.3. Is there enough evidence to show that the herbal gel treatment did not work equally as well as the traditional burn gel treatment assuming that both sets of data are approximately normal?

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 + ...