The mean annual turnover rate of the 200-count bottle of Bayer Aspirin is 6.0 with a standard deviation of 0.50. (this indicates that the stock Bayer turns over on the pharmacy shelves an average of six times per year). It is suspected that the mean turnover has changed and is not 6.0. Use the 0.05 significance level. A random sample of 64 bottles of the 200-count size Bayaer Aspirin showed a mean of 5.84. Shall we reject the hypothesis that the population mean

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 + ...