Suppose you have selected a random sample of n = 7 measurements from a normal distribution. Compare the standard normal z -values with the corresponding t -values if you were forming the following confidence intervals:
a. 80% confidence interval
b. 90% confidence interval
c. 95% confidence interval
d. 98% confidence interval
e. 99% confidence interval
f. Use the table values you obtained in parts a–e to sketch the z - and t -distributions. What are the similarities and differences?
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