Is it appropriate to use a normal distribution to compute a confidence interval for the population mean μ? Explain.

Based on Chapters 8 and 9.
1) Problem 11, page 378. Suppose x has a normal distribution with σ=6, A random sample of size 16 has sample mean 50.
a)Is it appropriate to use a normal distribution to compute a confidence interval for the population mean μ? Explain.
b) Find a 90% confidence interval for μ.
2) Problem 8, page 432.

If the P-value in a statistical test is less than or equal to the level of confidence for the test, do we reject or fail to reject Ho?
3) Problem 10, page 432.
Suppose the P-value in a two-tailed test is 0.0134. Based on the same population, sample, and null hypothesis, and assuming the test statistic z is negative, what is the P-value for a corresponding left-
tailed test?

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