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13. experimental design classwork krusty was told that a certain itchin…

Question

  1. experimental design classwork

krusty was told that a certain itching powder was the new best powder on the market, it even claims to cause 50% longer lasting itches. interested in this product, he buys the itching powder and compares it to his usual product. one test subject (a) is sprinkled with the original itching powder, and another test subject (b) was sprinkled with the experimental itching powder. subject a reported having itches for 30 minutes. subject b reported to have itches for 45 minutes.
what should krusty’s conclusion be?
○ the new itching powder claims are correct
○ the new itching powder claims are incorrect
○ the results are inconclusive (based on the information, the claim is neither correct nor incorrect)

Explanation:

Brief Explanations

To determine the conclusion, we analyze the experimental design. The claim is that the new powder causes 50% longer - lasting itches. The original powder (Subject A) caused itching for 30 minutes. 50% longer than 30 minutes would be $30+(30\times0.5)=45$ minutes. Subject B (new powder) reported itching for 45 minutes. But there is a problem with the experimental design: there is only one subject for each powder. With such a small sample size (n = 1 for each group), the results are not reliable enough to make a definite conclusion about the claim. So the results are inconclusive as the claim can't be proven or disproven with just one subject per group.

Answer:

The results are inconclusive (based on the information, the claim is neither correct nor incorrect)