In an attempt to determine why customer service is important to managers in the UAE, researchers surveyed managing directors of hospitality industry in Dubai. One of the reasons proposed was that customer service is a means of retaining customers. On a scale from 1 to 5 with 1 being low and 5 being high, the survey respondents rated this reason more highly than any of the others, with a mean response of 4.30. Suppose UAE researchers believe UAE managers would rate this reason as highly and conduct a hypothesis test to prove their theory. The type I error Alpha is set at 0.05. Data are gathered and the following results are obtained. Use these data and identify the eights steps of hypothesis testing to determine whether UAE managers rate this reason significantly lower than the 4.30 mean ascertained in the UAE. EXPLAIN ALL THE STEPS IN DETAIL Assume from previous studies that the population stand deviation is 0.574. 3   4   5   5   4   5   5   4   4   4   4 4   4   4   4   5   4   4   4   3   4   4 4   3   5   4   4   5   4   4   4   5

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 + ...