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A drug trial is attempted using a real drug and a pill made of just sugar. 14 people are given the real drug in hopes

A drug trial is attempted using a real drug and a pill made of just sugar. 14 people are given the real drug in hopes of increasing the production of endorphins. The increase in endorphins is found to be on average 11 micrograms per person, and the sample standard deviation is 5.8 micrograms. 9 people are given the sugar pill, and their average endorphin increase is 5 micrograms with a standard deviation of 2.5. From previous research on endorphins it is determined that it can be assumed that the variances within the two samples can be assumed to be the same. Test at 5% to see if the population mean for the real drug had a significantly greater impact on the endorphins than the population mean with the sugar pill.

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