In each of the following instances, determine whether you would use a z- or t -statistic (or neither) to form a 95% confidence interval for μ; then look up the appropriate z or t value.
a. Random sample of size n = 21 from a normal distribution with unknown mean μ and standard deviation σ
b. Random sample of size n = 175 from a normal distribution with unknown mean μ and standard deviation σ
c. Random sample of size n = 12 from a normal distribution with unknown mean and standard deviation σ = 5
d. Random sample of size n = 65 from a distribution about which nothing is known
e. Random sample of size n = 8 from a distribution about which nothing is known
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