New Orleans' Coca Cola bottling center wants to determine whether the mean amount of product in a 12 oz can of Coke is actually 12 ounces. Thus, the null and alternative hypotheses are       Ho: mu is equal to 12 ounces      Ha: mu is not equal to 12 ounces You want to be extra sure that you aren't underfilling (which would open you up to a lawsuit). Being risk averse, you set out to conduct a hypothesis test at a stringent 99% level. Fill rates are distributed Normally. You take a sample of 50 different Coke cans and carefully measure the amount of product. From this sample, you calculate an avg fill of 12.3 ounces, with a standard deviation of 0.75 ounces.  What do you conclude about the average amount of Coke product in the cans? Group of answer choices a. There is sufficient evidence to conclude that you are not filling to 12 ounces on average.   b. There is NOT sufficient evidence to conclude that you are under- or over-filling on average.

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 + ...