Goal: Explain the meaning of the confidence level of a confidence interval and the level of...
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Goal: Explain the meaning of the confidence level of a confidence interval and the level of significance of a hypotheses test To do: (a) 95% Confidence Interval • The population is a normal distribution N(100, 15^2) and both the mean and standard deviations are assumed to be unknown. Randomly select a sample of size 10 from the population and create a 95% confidence interval. • Determine whether your interval is successful. • Repeat random sampling 10,000 times and record the results, i.e. created confidence intervals & success/failure. Calculate the success rate and compare with the level of confidence 95%. (b) Hypotheses test with significance level alpha=0.05 • The true population is a normal distribution N(100, 15^2) and both the mean and standard deviations are assumed to be unknown. Consider H0: mu-100 vs. Ha: mu <>100. . Randomly select a sample of size 10 from the population and calculate the test statistic. • Calculate the p-value and determine whether you are going to reject H0 or not. • Repeat random sampling 10,000 times and record the results, i.e. p-values & reject/not reject HO. • Calculate the rejection rate and compare with the level of significance 0.05. Write a 1-2 pages long report about your finding. Goal: Explain the meaning of the confidence level of a confidence interval and the level of significance of a hypotheses test To do: (a) 95% Confidence Interval • The population is a normal distribution N(100, 15^2) and both the mean and standard deviations are assumed to be unknown. Randomly select a sample of size 10 from the population and create a 95% confidence interval. • Determine whether your interval is successful. • Repeat random sampling 10,000 times and record the results, i.e. created confidence intervals & success/failure. Calculate the success rate and compare with the level of confidence 95%. (b) Hypotheses test with significance level alpha=0.05 • The true population is a normal distribution N(100, 15^2) and both the mean and standard deviations are assumed to be unknown. Consider H0: mu-100 vs. Ha: mu <>100. . Randomly select a sample of size 10 from the population and calculate the test statistic. • Calculate the p-value and determine whether you are going to reject H0 or not. • Repeat random sampling 10,000 times and record the results, i.e. p-values & reject/not reject HO. • Calculate the rejection rate and compare with the level of significance 0.05. Write a 1-2 pages long report about your finding.
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Understanding Basic Statistics
ISBN: 978-1111827021
6th edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase
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