Studies have been conducted to evaluate the effectiveness of psilocybin mushrooms on improving the quality of life for patients with cancer (?A Dose of a Hallucinogen from a ?Magic Mushroom,? and Then Lasting Peace,? The New York Times, December 1, 2016). In one study, patients were randomly assigned to either a low-dose psilocybin treatment or to a high-dose treatment. One outcome that was measured was a ?Personal Meaning? score, collected five weeks after the psilocybin treatment. Higher scores indicated greater ?Personal Meaning.? The following data were estimated from a graphical display in the article. Do these data support the claim that the mean Personal Meaning score for patients with cancer taking a high dose of psilocybin is greater than the mean Personal Meaning score for patients with cancer taking a low dose? Use a randomization test to answer this question. You can make use of the Shiny apps in the collection at statistics.cengage.com/PSO6e/Apps.html.

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Personal Meaning Personal Meaning Low Dose High Dose Low Dose High Dose 3 5 4 4 4 5 2 3 5 7.