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Description: In the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from

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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In the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values).

Marketing Managers	Marketing Research	Advertising
5	7	5
3	6	5
4	7	6
4	6	5
5	6	4
3	7	5

(a)

Use ? = 0.05 to test for significant differences in perception among the three groups.

State the null and alternative hypotheses.

H₀: ?_MM = ?_MR = ?_A
H_a: Not all the population means are equal.

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

H₀: Not all the population means are equal.
H_a: ?_MM = ?_MR = ?_A

H₀: ?_MM = ?_MR = ?_A
H_a: ?_MM ≠ ?_MR ≠ ?_A

H₀: ?_MM ≠ ?_MR ≠ ?_A
H_a: ?_MM = ?_MR = ?_A

Find the value of the test statistic.

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists.

Reject H₀. There is not sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists.

Do not reject H₀. There is not sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists.

Do not reject H₀. There is sufficient evidence to conclude that the mean perception score is not the same for the three groups of specialists.

(b)

At the ? = 0.05 level of significance, we can conclude that there are differences in the perceptions for marketing managers, marketing research specialists, and advertising specialists. Use the procedures in Section 13.3 to determine where the differences occur. Use ? = 0.05. (Use the Bonferroni adjustment.)

Find the value of LSD. (Round your comparisonwise error rate to four decimal places. Round your answer to three decimal places.)

LSD =

Find the pairwise absolute difference between sample means for each pair of treatments.

x_MM − x_MR

x_MM − x_A

x_MR − x_A

Where do the significant differences occur? (Select all that apply.)

There is a significant difference in the perception of corporate ethical values between marketing managers and marketing research specialists.

There is a significant difference in the perception of corporate ethical values between marketing managers and advertising specialists.

There is a significant difference in the perception of corporate ethical values between marketing research specialists and advertising specialists.

There are no significant differences.

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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