Question 4 Imagine that you are working at the research depa

Question 4

Imagine that you are working at the research department of a large dairy product company, and now considering changing the packaging of sour cream – one of your primary sale items – to a more eco-­?friendly package. You have been testing the two alternative packages, the old one and the new one, in 36 corner stores, offering each alternative simultaneously, and collected data on their quarterly sales (in thousands of rubles). The graph below illustrates your data collected. “Pack 1” represents the currently used packaging, “Pack 2” the new eco-­?friendly version.

Based on the boxplot graph, discuss:

1) The overall distribution of data for package 1 and package 2.

2) Their medians, ranges, interquartile ranges.

3) Replace the headings a) and b) in the Statistics table with correct headings (Pack 1 / Pack 2):

a) ________________________________

b) ________________________________

4) Interpret the findings from the paired-­?samples t-­?test. Based on your analysis, would the new eco-­?friendly packaging pay off? Why?

Solution

The overall distributions of pack 1 and pack 2 are approximately symmetric. Pack 1 has some outliers. The median of pack 1 is less than the median of pack 2. Pack 1 has larger range and interquartile range. In statistics table, a) is pack 1 and b) is pack 2. The p-value for paired t test is 0.204. we fail to reject the null hypothesis. The data do not suggest that the new packaging is more eco-friendly.