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Show Arizona municipal bond Problem - Normal Distribution

Recently the national average yield on municipal bonds has been μ = 4.19%. A random sample of 16 Arizona municipal bonds gave an average yield of 5.11% with a sample standard deviation s = 1.15%. Does this indicate that the populations mean yield for all Arizona municipal bonds is greater than the national average? Use α = 0.05. Assume x is normally distributed.

a) Position the null and the alternate hypothesis.

b) Recognize the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find critical value(s).

c) Calculate the z or t value of the sample test statistic.

d) Find out the P value or an interval containing the P value for the sample test statistic.

e) Based on the answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.

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