1a. Construct a 90% confidence interval to estimate the population mean using the following data:

sample mean = 60

population standard deviation = 15

sample size = 42

1b. What is the margin of error for this interval?

2. Consider the following hypothesis:

H_o: ₌50

H_1: 50

Given that x(bar) = 40, = 10, n = 36, and = 0.05

a.Test the hypothesis

b.Determine the p-value for this test

3. Consider the following hypothesis:

H_o: p0.60

H_1:p < 0.60

Given that p(bar) = 0.55, n = 169, and = 0.05

a.Test the hypothesis

b.Determine the p-value for this test