A marketing organization wishes to study the effects of four sales methods (Method 1, 2, 3, & 4) on the weekly sales of a product. The organization employs three salesmen (A, B, & C) to use each sales method. The weekly sales made by each salesman using four different methods are shown in the table below. Sales Method/SABC1322930232302832825234252423a) Run the ANOVA at 0.05 level of significance based on the provided data. Copy the Excel output below.b) Based on the output, test the null hypothesis H0that no differences exist between the effects of the sales methods (treatments) on mean weekly sales. Can we conclude that the different sales methods have different effects on mean weekly sales?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A marketing organization wishes to study the effects of four sales methods (Method 1, 2, 3, & 4) on the weekly sales of a product. The organization employs three salesmen (A, B, & C) to use each sales method. The weekly sales made by each salesman using four different methods are shown in the table below.

Sales Method/S	A	B	C
1	32	29	30
2	32	30	28
3	28	25	23
4	25	24	23

a) Run the ANOVA at 0.05 level of significance based on the provided data. Copy the Excel output below.

b) Based on the output, test the null hypothesis H₀that no differences exist between the effects of the sales methods (treatments) on mean weekly sales. Can we conclude that the different sales methods have different effects on mean weekly sales?

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 + ...

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(C) use tukey simultaneous 95 percent confidence intervals to make pair wide comparisons of the sales method effects on mean weekly sales. Which sales method(s) maximize mean weekly sales? (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

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