Dr$.$ Cheung conducted an experiment about how the type of food would subliminally influence a person's

money saving behaviour. He recruited $15$ participants and randomly assigned them into three experimental

conditions including "American fast food", "Japanese" and "Vegetarian". In the "American fast food"

condition, the McDonald's restaurant logo $($i$.$e$.,$ priming image$)$ was flashed in $200$ milliseconds; as for the

"Japanese" and "Vegetarian", the priming image was "Genki Sushi" and "Salad" respectively. After the

priming phase, participants were given a scenario about how much they would save if they got a windfall

$($unexpected money$)$ of HK$$100.$ The amount of money that they planned to save in different experimental

conditions is listed in the following table. Dr$.$ Cheung wanted to know whether the logo of different types of

food would make any effect on a person's money saving tendency.

$($a$)$ Perform a suitable statistical test to test the research hynothecioutording to the rosearch desion in this

$($b$)$

nalyse the following figure and identify the pairs that show statistically significant difference in terms

the money they planned to save. $(4$ marks$)$