It is known that the population of laboratory rats reaches an average weight of 510 grams at age 6 months. To test the effectiveness of a new growth hormone, a researcher selects a sample of 10 newborn rats and injects each rat with the hormone. Six months later, the rats in the sample are weighed and the researcher finds an average weight of 528 grams. Based on these results, can the researcher conclude that the growth hormone had an effect on the rats in the sample? Explain why or why not. (Hint: If the hormone had no effect, how can you explain the difference between the sample average and the population average?)
the hormone had the effect of adding 18g to the rats' weight |
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the hormone had the effect of adding something to the rats' weight but we don't know exactly how much |
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the hormone might have no effect on the rats' weight since the 18g difference could be entirely due to sampling error |
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the hormone definitely has no effect on the rats' weight since 18g is not a large enough amount to consider as a real difference |
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