In the digital age of marketing, special care must be taken to ensure that programmatic ads appear on websites aligned 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 website$).$ 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

$6$

$5$

$4$

$5$

$6$

$4$

Marketing Research

$5$

$5$

$4$

$4$

$5$

$4$

Advertising

$6$

$7$

$6$

$5$

$6$

$6$

a$.$ Use $=0\mathrm{.}05$ to test for a significant difference in perception among the three groups.

Compute the values identified below $($to $2$ decimals, if necessary$).$

Sum of Squares, Treatment

Sum of Squares, Error

Mean Squares, Treatment

Mean Squares, Error

Calculate the value of the test statistic $($to $2$ decimals$).$

The $p-$value is

What is your conclusion?

Conclude the mean perception scores for the three groups are not all the same

b$.$ Using $=0\mathrm{.}05,$ determine where differences between the mean perception scores occur.

Calculate Fisher's LSD value $($to $2$ decimals$).$