A marketing manager wants to evaluate whether three different advertising platforms-TV, social media, and print media-lead to different average sales performance across regional stores. She runs a 4-wook advertising campaign, assigning one platform to a group of 5 stores each (15 stores total). After the campaign, she collects the weekly soles (in \$1,000s) for each store during the campaign period. She wants to determine whether there is a statistically significant difference in mean sales among the three advertising platforms. In an ANOVA test a P-value of 0.03 is obtained. What can be concluded about mean weekly sales for different advertising platforms?

• A. Since the P-value (0.03) is greater than the significance level (typically 0.05), we fail to reject the null hypothesis and conclude that there is no significant difference in mean sales among the platforms.$0.03$
• B. Since the P-value (0.03) is greater than 0.05, we reject the null hypothesis and conclude that there is a significant difference in the mean sales across the platforms.
• C. Since the P-value (0.03) is less than 0.05, we fail to reject the null hypothesis and conclude that there is no significant difference in mean sales across the platforms.
• D. Since the P-value (0.03) is less than the significance level (typically 0.05), at least one advertising platforms leads to a significant difference in average sales.

Answer: (D)

Verified step by step guidance

1. Step 1: Understand the problem. The marketing manager wants to determine if there is a statistically significant difference in mean weekly sales among three advertising platforms (TV, Social Media, and Print Media). An ANOVA test is used to compare the means of more than two groups.
2. Step 2: Review the data provided. The table shows weekly sales (in \$1,000s) for 5 stores assigned to each platform during the campaign period. For TV: {22, 25, 27, 24, 26}, Social Media: {28, 30, 27, 29, 31}, and Print Media: {20, 21, 19, 23, 22}.
3. Step 3: Recall the null hypothesis (H₀) and alternative hypothesis (H₁) for ANOVA. H₀: The mean weekly sales are the same across all platforms. H₁: At least one platform has a different mean weekly sales.
4. Step 4: Interpret the P-value (0.03) obtained from the ANOVA test. If the P-value is less than the significance level (typically 0.05), we reject the null hypothesis. This indicates that at least one advertising platform leads to a significant difference in average sales.
5. Step 5: Conclude based on the P-value. Since the P-value (0.03) is less than 0.05, the null hypothesis is rejected. This means there is evidence to suggest that at least one advertising platform leads to a significant difference in mean weekly sales.