The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The data in Sheet 7 show the meal prices ($) obtained for the 24 restaurants sampled. Use alpha = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants.   Sheet 7  Italian Seafood Steakhouse 12 16 24 13 18 19 15 17 23 17 26 25 18 23 21 20 15 22 17 19 27 24 18 31   Select one: a) Fstat = 7.33 > Fcrit = 3.47, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal b) Fstat = 3.47 < Fcrit = 7.33, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal c) p-value = 0.0039 < alpha = 0.05, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal d) p-value = 0.0039 < alpha = 0.05, reject the null hypothesis that the mean meal price for the three types of restaurants are equal

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 + ...