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EGT1 Task 3

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For example, we could calculate the IQ difference for each subject by subtracting their IQ while taking a placebo from their IQ while taking the new drug. If our sample average was positive, it would mean that, on average, our subjects had a higher IQ while they were taking the experimental drug than they had while taking the placebo.
In this case, we might choose these as our hypotheses:
Null hypothesis: The difference between IQ while the subjects were taking the drug and while the subjects were taking the placebo is 0. (The population average is 0).
Alternative hypothesis: The IQ of the subjects was higher while they were taking the drug than while they were taking the placebo. (The population average is greater than 0).
From here forward, …show more content…

You have two separate samples, and each of them were selected randomly.
2. The samples are significantly smaller than the populations they represent.
3. The distributions of the two samples are similar.
4. If the total sample size is under 15, two sample t tests are safe if the data shows no strong departures from the Normal distribution.
5. If the total sample size is over 15, two sample t tests are safe if there are no outliers and there is no strong skewness.
6. If the total sample size is over 40, two sample t tests tend to be very safe even if the data is strongly skewed.
7. Two sample t tests are most robust when the sample sizes are the same.

Again, these are rules of thumb and don’t always apply. In fact, two sample t tests are much more robust than one sample t tests, and can be quite accurate even with a total sample size of 10. Even so, these rules of thumb are good to follow if you want to be taken seriously.
Performing the test
This test is a bit more complicated, in particular because the degrees of freedom are calculated from a much more complicated formula. Statistical software packages will handle this part for you under normal circumstances, but if you need to have the formula, here it

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