The American Pharmaceutical company has developed a new pain killer drug that can help prolong the pain free period and is being tested on mice who already have pain due to pre-testing conditions. The researcher in charge claims that the new drug will give at least 7 minutes longer of no pain compared to other pre- approved drugs. To test the claim, the company selects a simple random sample of 100 mice and injected them with the new drug and another 100 mice that are on a pre-approved drug (let's call it old drug for simplicity). The old drug provided 190 minutes of pain free interval with a standard deviation of 20 minutes; the new drug, 200 minutes of pain free interval with a standard deviation of 40 minutes. Test the researcher's claim that the new drug provides at least more 7 minutes of pain free longer than the old. Use a 0.05 level of significance. (Assume that there are no outliers in either sample.)

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The American Pharmaceutical company has developed a new pain killer drug that can help prolong the pain free
period and is being tested on mice who already have pain due to pre-testing conditions. The researcher in charge
claims that the new drug will give at least 7 minutes longer of no pain compared to other pre- approved drugs.
To test the claim, the company selects a simple random sample of 100 mice and injected them with the new drug and
another 100 mice that are on a pre-approved drug (let's call it old drug for simplicity). The old drug provided 190
minutes of pain free interval with a standard deviation of 20 minutes; the new drug, 200 minutes of pain free interval
with a standard deviation of 40 minutes.
Test the researcher's claim that the new drug provides at least more 7 minutes of pain free longer than the old. Use a
0.05 level of significance. (Assume that there are no outliers in either sample.)
Transcribed Image Text:The American Pharmaceutical company has developed a new pain killer drug that can help prolong the pain free period and is being tested on mice who already have pain due to pre-testing conditions. The researcher in charge claims that the new drug will give at least 7 minutes longer of no pain compared to other pre- approved drugs. To test the claim, the company selects a simple random sample of 100 mice and injected them with the new drug and another 100 mice that are on a pre-approved drug (let's call it old drug for simplicity). The old drug provided 190 minutes of pain free interval with a standard deviation of 20 minutes; the new drug, 200 minutes of pain free interval with a standard deviation of 40 minutes. Test the researcher's claim that the new drug provides at least more 7 minutes of pain free longer than the old. Use a 0.05 level of significance. (Assume that there are no outliers in either sample.)
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