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Sweetness you guys actually answered my question. I forgot to subtract 1 from the degrees of freedom the entire time. I kept using 7 instead of 6. So the answer is 37 to 91.46.
yes, if its a uni level stats course, they are most definitely going to expect you to use the t-distribution for small sample sizes (<30) and normal distribution for larger sample sets.
for small sample sizes, the distribution has 'fat tails' because their is not enough samples to ensure a normal distribution. thus the confidence interval for a small sample size will always be wider than for a large one (given the same mean).
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