Question: (a) How does the t-distribution compare with the normal distribution? (b) How does the difference affect the size of confidence intervals constructed using z (normal

(a) How does the t-distribution compare with the normal distribution?
(b) How does the difference affect the size of confidence intervals constructed using z (normal approximation) relative to those constructed using the t-distribution?
(c) Does sample size make a difference?
(d) What assumptions do we need to make in using the t-distribution for the construction of a confidence interval?

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