A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ=15 for each of the situations in parts a through d. Calculate a 90% confidence interval for μ for each of these situations.

a. n=50, x=26

b. n=150, x=115

c. n=80, x=18

d. n=80, x=4.76

e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.

a. ( , )

b. ( , )

c. ( , )

d. ( , )

e.

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