Identify the null and alternative hypotheses. Hoμ = 12.00 H₁ H # 12.00 (Type integers or decimals. Do not round.) Identify the test statistic. 10.47 (Round to two decimal places as needed.) Identify the P-value. 0.000 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Decide whether it appears that consumers are being cheated. Reject the null hypothesis. There is sufficient evidence at the 0.05 significance level to warrant rejection of the claim that cans of Coke have a mean volume of 12.00 ounces. It does not appear that consumers are being cheated, because consumers are getting at least 12.00 ounces. Data are from cans of cola. VOL is volume in ounces. COKE REG VOL 12.31 12.11 12.17 12.33 12.18 12.32 11.96 12.09 12.18 12.08 12.25 12.34 11.95 12.30 12.06 12.06 11.96 12.23 12.20 12.16 12.23 12.21 12.22 12.43 12.22 12.21 12.27 12.17 12.23 12.32 12.17 12.19 12.13 12.43 12.22 12.17 COKE REG VOL

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 + ...