Calculate the appropriate confidence interval for:
a. the population mean, if the sample mean is 17, the sample size is 25, and the sample variance is 6, 95% confidence
b. the population mean, if the sample mean is 75, the sample size is 5, and the sample variance is 8, 90% confidence
c. the population variance, if the sample variance is 4.5, the sample size is 6, and the confidence is 98%
d. recalculate part a for 90% confidence
e. recalculate part b with a sample size of 10
f. recalculate part c with a sample size of 10 and a confidence of 90%
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