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Hypothesis testing and confidence interval

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Exercise 8.5
Find a confidence interval for u assuming that each sample is from a normal population.
a. x = 14, sigma = 4, n = 5, 90 percent confidence
b. x = 37, sigma = 15, 99 percent confidence
c. x = 121, sigma = 15, 95 percent confidence

Exercise 9.19
Calculate the test statistic and p-value for each sample.
a. H0 = u = 60 versus H1: u does not equal 60, sigma = 0.025, x = 63, sigma = 8, n = 16
b. H0: u is greater than or equal to 60 versus H1: u < 60, sigma = 0.05, x = 58, sigma = 5, n = 25
c. H0: u is less than or equal to H1: u > 60, sigma = 0.05, x = 65, sigma = 8, n =36

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Step by step method for computing test statistic and confidence interval is given in the answer.

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One-Sample Hypothesis Test Confidence Intervals

One-Sample Hypothesis Test Confidence Intervals

Take a random sample and perform a t-test against a population mean (no time series for any parts of this project.) Test a hypothesis about a population mean. Besides the instructions above, explain what assumptions you made. Note: n must be between 15 to 20! Use no other sample sizes.

Use the same data as 1a and develop a 90% confidence interval and a 95% confidence interval for the population mean. Contrast this to 1a. What additional information or insight did this provide you over the traditional hypothesis testing.

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